THIS WARRANT AND ANY SHARES  ACQUIRED UPON THE EXERCISE OF THIS WARRANT
         HAVE NOT BEEN REGISTERED  UNDER THE SECURITIES ACT OF 1933 OR UNDER ANY
         STATE SECURITIES OR BLUE SKY LAWS. NEITHER THIS WARRANT NOR ANY OF SUCH
         SHARES  MAY  BE  OFFERED,  SOLD,  ASSIGNED,  TRANSFERRED  OR  OTHERWISE
         DISPOSED  OF IN THE  ABSENCE OF  REGISTRATION  UNDER SAID ACT AND UNDER
         APPLICABLE  STATE  SECURITIES OR BLUE SKY LAWS OR EXEMPTIONS  FROM SUCH
         REGISTRATION


18,000                                                          Warrant No. G1-1



                          SIGNAL APPAREL COMPANY, INC.
                             STOCK PURCHASE WARRANT



Registered Owner:  Brown Simpson Strategic Growth Fund, L.P.

     This certifies that, for value received,  Signal Apparel Company,  Inc., an
Indiana  corporation,  the  ("Company")  grants  the  following  rights  to  the
Registered Owner, or assigns, of this Warrant:

     1. Issue. Upon tender (as defined in section 5 hereof) to the Company,  the
Company shall issue to the  Registered  Owner,  or assigns,  up to the number of
shares specified in paragraph 2 hereof of fully paid and nonassessable shares of
Common Stock that the Registered  Owner,  or assigns,  is otherwise  entitled to
purchase.

     2. Number of Shares.  The total  number of shares of Common  Stock that the
Registered  Owner,  or assigns,  of this  Warrant is  entitled  to receive  upon
exercise of this Warrant is 18,000  shares,  subject to adjustment  from time to
time as set forth in paragraph 6 below.  The Company  shall at all times reserve
and hold available  sufficient  shares of Common Stock to satisfy all conversion
and purchase rights represented by outstanding convertible  securities,  options
and warrants,  including this Warrant. The Company covenants and agrees that all
shares of Common  Stock that may be issued  upon the  exercise  of this  Warrant
shall, upon issuance,  be duly and validly issued, fully paid and nonassessable,
and free from all taxes,  liens and charges with respect to the purchase and the
issuance of the shares.

     3. Exercise Price.  The exercise price of this Warrant,  the price at which
the shares of stock  purchasable upon exercise of this Warrant may be purchased,
is  125%  of  the  Fixed  Strike  Price  (as  defined  in  the   Certificate  of
Designation), subject to adjustment from time to time pursuant to the provisions
of paragraph 6 below (the "Exercise Price").

     4.  Exercise  Period.  This  Warrant  may only be  exercised  beginning  on
September 17, 1998 and up to and  including  September 17, 2003 five years after
the date of the Warrant,



less one day. If not exercised  during this period,  this Warrant and all rights
granted under this Warrant shall expire and lapse.

     5. Tender.  This Warrant may be  exercised,  in whole or in part, by actual
delivery  of (i) the  Exercise  Price  in  cash,  (ii) a duly  executed  Warrant
Exercise  Form,  a copy of which is  attached  to this  Warrant  as  Exhibit  A,
properly  executed by the Registered  Owner,  or assigns,  of this Warrant,  and
(iii) by surrender of this Warrant.  The payment and Warrant  Exercise Form must
be delivered,  personally or by mail, to the  registered  office of the Company.
Documents sent by mail shall be deemed to be delivered when they are received by
the Company.

     6. Adjustment of Exercise Price.

          (a) If the Company, at any time while this Warrant is outstanding, (a)
     shall pay a stock dividend on its Common Stock,  (b) subdivide  outstanding
     shares  of  Common  Stock  into a larger  number  of  shares,  (c)  combine
     outstanding  shares of Common Stock into a smaller number of shares, or (d)
     issue by  reclassification  of shares of Common Stock any shares of capital
     stock of the Company,  the Exercise Price shall be multiplied by a fraction
     the  numerator  of which  shall be the  number of  shares  of Common  Stock
     (excluding  treasury shares, if any) outstanding  before such event and the
     denominator  of  which  shall be the  number  of  shares  of  Common  Stock
     outstanding  after  such  event.  Any  adjustment  made  pursuant  to  this
     paragraph (6)(a) shall become effective  immediately  after the record date
     for the determination of shareholders  entitled to receive such dividend or
     distribution  and shall become  effective  immediately  after the effective
     date in the case of a subdivision, combination or re-classification.

          (b) If the  Company,  at any time while this  Warrant is  outstanding,
     shall  issue  rights or  warrants  to all of the  holders  of Common  Stock
     entitling  them to  subscribe  for or purchase  shares of Common Stock at a
     price per share less than the Per Share Market Value (as defined  below) of
     Common Stock at the record date mentioned  below,  the Exercise Price shall
     be multiplied by a fraction,  the  denominator of which shall be the number
     of shares of Common Stock (excluding  treasury shares,  if any) outstanding
     on the date of  issuance  of such  rights or  warrants  plus the  number of
     additional shares of Common Stock offered for subscription or purchase, and
     the  numerator  of which  shall be the  number of  shares  of Common  Stock
     (excluding  treasury shares, if any) outstanding on the date of issuance of
     such  rights or  warrants  plus the  number of shares  which the  aggregate
     offering  price of the total number of shares so offered would  purchase at
     such Per Share Market Value.  Such  adjustment  shall be made whenever such
     rights or warrants are issued, and shall become effective immediately after
     the record date for the  determination of shareholders  entitled to receive
     such  rights or  warrants.  However,  upon the  expiration  of any right or
     warrant to  purchase  Common  Stock the  issuance  of which  resulted in an
     adjustment in the Exercise Price pursuant to this paragraph  (6)(b), if any
     such right or warrant shall expire and all or any portion thereof shall not
     have  been  exercised,  the  Exercise  Price  shall  immediately  upon such
     expiration be re-computed and effective immediately upon such expiration be
     increased to the price which it would have been (but  reflecting  any other
     adjustments  in the  Exercise  Price made  pursuant  to the  provisions  of
     section  (f)  after  the  issuance  of such  rights  or  warrants)  had the
     adjustment  of the Exercise  Price made upon the issuance of such rights or
     warrants  been made on the basis of offering for  subscription  or purchase
     only that


                                       2


     number  of shares of Common  Stock  (if any)  actually  purchased  upon the
     exercise of such rights or warrants actually exercised.

          (c) If the  Company,  at any time while this  Warrant is  outstanding,
     shall  distribute  to all of the holders of Common  Stock  evidences of its
     indebtedness  or assets or rights or warrants to subscribe  for or purchase
     any  security  (excluding  those  referred  to in  paragraphs  6(a) and (b)
     above),  then in each such  case the  Exercise  Price at which the  Warrant
     shall  thereafter be  convertible  shall be determined by  multiplying  the
     Exercise  Price in effect  immediately  prior to the record  date fixed for
     determination  of shareholders  entitled to receive such  distribution by a
     fraction  the  denominator  of which shall be the Per Share Market Value of
     Common Stock  determined  as of the record date  mentioned  above,  and the
     numerator of which shall be such Per Share Market Value of the Common Stock
     on such record date less the then fair market  value at such record date of
     the  portion of such  assets or evidence  of  indebtedness  so  distributed
     applicable  to one  outstanding  share of Common Stock as determined by the
     Board of Directors in good faith; provided, however, that in the event of a
     distribution  exceeding ten percent of the net assets of the Company,  such
     fair market value shall be determined  by a nationally  recognized or major
     regional  investment  banking firm or firm of independent  certified public
     accountants of recognized standing (an "Appraiser")  selected in good faith
     by the holder of the  Warrant;  and  provided,  further,  that the Company,
     after receipt of the  determination  by such Appraiser shall have the right
     to select an additional Appraiser meeting the same qualifications,  in good
     faith, in which case the fair market value shall be equal to the average of
     the  determinations  by each such Appraiser.  Such adjustment shall be made
     whenever  any  such   distribution  is  made  and  shall  become  effective
     immediately after the record date mentioned above.

          (d) All calculations under this section 6 shall be made to the nearest
     cent or the nearest l/l00th of a share, as the case may be.

          (e)  Whenever the Exercise  Price is adjusted  pursuant to  paragraphs
     6(a),  (b) or (c),  the Company  shall  promptly  mail to the holder of the
     Warrant,  a notice setting forth the Exercise  Price after such  adjustment
     and setting forth a brief statement of the facts requiring such adjustment.

          (f) In case of (A) any  reclassification  of the Common Stock, (B) any
     consolidation or merger of the Company with or into another person pursuant
     to which  (i) a  majority  of the  Company's  Board of  Directors  will not
     constitute a majority of the board of directors of the surviving  entity or
     (ii) less than 51% of the  outstanding  shares of the capital  stock of the
     surviving entity will be held by the same shareholders of the Company prior
     to such reclassification, consolidation or merger, (C) the sale or transfer
     of all  or  substantially  all  of the  assets  of  the  Company,  (D)  any
     compulsory  share exchange  pursuant to which the Common Stock is converted
     into other  securities,  cash or property,  (E) suspension  from listing or
     delisting  of the  Common  Stock from The New York  Stock  Exchange  or The
     Nasdaq  National  Market  for a period of five  consecutive  days,  (F) the
     Company's notice to any Holder, including by way of public announcement, at
     any time,  of its  intention,  for any  reason,  not to comply  with proper
     requests for conversion of any shares of Series G1 Preferred Stock into, or
     exercise of this


                                       3


     Warrant for,  shares of Common Stock, or (G) a breach by the Company of any
     representation,  warranty,  covenant  or  other  term or  condition  of the
     Purchase Agreement,  the Registration Rights Agreement,  the Certificate of
     Designation  or  any  other  agreement,   document,  certificate  or  other
     instrument  delivered  in  connection  with the  transactions  contemplated
     thereby or hereby,  except to the extent that such breach  would not have a
     Material  Adverse  Effect (as  defined in  Section  2.1(a) of the  Purchase
     Agreement)  and  except,  in the case of a breach  of a  covenant  which is
     curable,  only if such breach  continues  for a period of at least ten days
     after the Company knows or reasonably should have known of the existence of
     such breach  (clauses  (A) through (G) above  referred to as a  "Redemption
     Event"),  the  holder of the  Warrant  shall have the right  thereafter  to
     convert  the  Warrant  only into the shares of stock and other  securities,
     cash and property receivable upon or deemed to be held by holders of Common
     Stock following such Redemption  Event, and the holder of the Warrant shall
     be entitled upon such event to receive such amount of  securities,  cash or
     property as the shares of the Common  Stock of the  Company  into which the
     Warrant  could have been  converted  immediately  prior to such  Redemption
     Event would have been entitled.

          (g) If:

          A.   the Company shall declare a dividend (or any other  distribution)
               on its Common Stock; or

          B.   the Company shall declare a special nonrecurring cash dividend on
               or a redemption of its Common Stock; or

          C.   the Company  shall  authorize  the granting to the holders of the
               Common Stock rights or warrants to subscribe  for or purchase any
               shares of capital stock of any class or of any rights; or

          D.   the approval of any shareholders of the Company shall be required
               in connection  with any  reclassification  of the Common Stock of
               the Company,  any consolidation or merger to which the Company is
               a party, any sale or transfer of all or substantially  all of the
               assets  of the  Company,  of any  compulsory  share  of  exchange
               whereby the Common Stock is converted into other securities, cash
               or property; or

          E.   the  Company  shall   authorize  the  voluntary  or   involuntary
               dissolution,  liquidation  or  winding  up of the  affairs of the
               Company;

     then  the  Company  shall  cause  to be  filed  at each  office  or  agency
     maintained  for the purpose of conversion of this Warrant,  and shall cause
     to be  mailed to the  holder of this  Warrant  at its  address  as it shall
     appear below,  at least 30 calendar days prior to the applicable  record or
     effective date hereinafter  specified, a notice (provided such notice shall
     not include any material  non-public  information)  stating (x) the date on
     which  a  record  is  to  be  taken  for  the  purpose  of  such  dividend,
     distribution,  redemption,  rights or warrants, or if a record is not to be
     taken,  the date as of which the  holders  of Common  Stock of record to be
     entitled to such dividend, 


                                       4


     distributions,  redemption,  rights or warrants are to be determined or (y)
     the date on  which  such  reclassification,  consolidation,  merger,  sale,
     transfer or share  exchange is expected to become  effective or close,  and
     the date as of which it is expected  that holders of Common Stock of record
     shall be entitled to exchange their shares of Common Stock for  securities,
     cash  or   other   property   deliverable   upon   such   reclassification,
     consolidation, merger, sale, transfer or share exchange; provided, however,
     that the  failure  to mail such  notice  or any  defect  therein  or in the
     mailing  thereof  shall not affect the  validity  of the  corporate  action
     required to be specified in such notice.

          (h) Adjustment to Exercise Price. In order to prevent  dilution of the
     rights  granted under this Warrant,  the Exercise  Price will be subject to
     adjustment from time to time as provided in this Section 6(h).

               (i)  Adjustment of Exercise  Price upon Issuance of Common Stock.
          If and whenever on or after the Closing  Date,  the Company  issues or
          sells, or is deemed to have issued or sold, any shares of Common Stock
          (other than the Underlying Shares,  Warrant Shares or shares of Common
          Stock deemed to have been issued by the Company in connection  with an
          Approved Stock Plan (as defined below)) for a consideration  per share
          less  than the  Exercise  Price in  effect  immediately  prior to such
          issuance  or sale,  then  immediately  after such  issue or sale,  the
          Exercise  Price then in effect  shall be reduced to an amount equal to
          the  consideration per share of Common Stock of such issuance or sale.
          If and whenever on or after the Closing  Date,  the Company  issues or
          sells, or is deemed to have issued or sold, any shares of Common Stock
          (other than the Underlying  Shares,  Warrant Shares,  shares of Common
          Stock deemed to have been issued by the Company in connection  with an
          Approved  Stock  Plan (as  defined  below) or  shares of Common  Stock
          issued  or  deemed  to  have  been  issued  as  consideration  for  an
          acquisition  by the Company of a license or of a  division,  assets or
          business  (or stock  constituting  any portion  thereof)  from another
          person) for a  consideration  per share which is (A) greater  than the
          Exercise  Price in effect  immediately  prior to such issuance or sale
          and (B) less the  average of the Per Share  Market  Values on the five
          consecutive  trading  days  immediately  preceding  the  date  of such
          issuance or sale (the price in this  clause (B) is herein  referred to
          as "Market  Price"),  then  immediately  after such issue or sale, the
          Exercise  Price then in effect  shall be reduced to an amount equal to
          the product of (x) the Exercise Price in effect  immediately  prior to
          such issue or sale and (y) the quotient determined by dividing (1) the
          sum of (I) the  product of (A) the Market  Price and (B) the number of
          shares  of  Common  Stock  Deemed   Outstanding   (as  defined  below)
          immediately  prior to such issue or sale, and (II) the  consideration,
          if any,  received by the Company  upon such issue or sale,  by (2) the
          product  of (I) the  Market  Price  and (II) the  number  of shares of
          Common Stock Deemed  Outstanding (as defined below)  immediately after
          such issue or sale. For purposes of determining the adjusted  Exercise
          Price under this Section 6(h)(i), the following shall be applicable:

                    (A) Issuance of Options. If the Company in any manner grants
               any rights or  options to  subscribe  for or to  purchase  Common
               Stock  or any  stock  or  other  securities  convertible  into or
               exchangeable  for Common  Stock  (such  rights or  options  being
               herein called  "Options"  and such  convertible  or  exchangeable
               stock or securities being herein called "Convertible Securities")
               and the price per share for which Common  Stock is 


                                       5


               issuable upon the exercise of such Options or upon  conversion or
               exchange of such Convertible Securities is less than the Exercise
               Price in the case of the first  sentence of Section  6(h)(i),  or
               the Market  Price in the case of the second  sentence  of Section
               6(h)(i)  (collectively,  the "Applicable Price"),  then the total
               maximum  number  of  shares of  Common  Stock  issuable  upon the
               exercise of such  Options or upon  conversion  or exchange of the
               total maximum amount of such Convertible Securities issuable upon
               the  exercise of such Options  shall be deemed to be  outstanding
               and to have been  issued and sold by the  Company  for such price
               per share.  For purposes of this Section  6(h)(i)(A),  the "price
               per share for which  Common  Stock is issuable  upon  exercise of
               such Options or upon  conversion or exchange of such  Convertible
               Securities"  is determined  by dividing (I) the total amount,  if
               any,  received or receivable by the Company as consideration  for
               the granting of such Options,  plus the minimum  aggregate amount
               of  additional  consideration  payable  to the  Company  upon the
               exercise of all such  Options,  plus in the case of such  Options
               which relate to  Convertible  Securities,  the minimum  aggregate
               amount  of  additional  consideration,  if  any,  payable  to the
               Company upon the issuance or sale of such Convertible  Securities
               and the conversion or exchange thereof, by (II) the total maximum
               number of shares of Common Stock  issuable  upon exercise of such
               Options  or  upon  the   conversion   or  exchange  of  all  such
               Convertible   Securities  issuable  upon  the  exercise  of  such
               Options.  No adjustment of the Exercise  Price shall be made upon
               the actual  issuance of such Common Stock or of such  Convertible
               Securities  upon the  exercise of such Options or upon the actual
               issuance of such Common Stock upon conversion or exchange of such
               Convertible Securities.

                    (B) Issuance of  Convertible  Securities.  If the Company in
               any manner  issues or sells any  Convertible  Securities  and the
               price  per share for which  Common  Stock is  issuable  upon such
               conversion or exchange is less than the  Applicable  Price,  then
               the  maximum  number  of shares of  Common  Stock  issuable  upon
               conversion or exchange of such  Convertible  Securities  shall be
               deemed to be outstanding  and to have been issued and sold by the
               Company  for such  price  per  share.  For the  purposes  of this
               Section  6(h)(i)(B),  the "price per share for which Common Stock
               is issuable  upon such  conversion  or exchange" is determined by
               dividing  (I) the total  amount  received  or  receivable  by the
               Company  as   consideration   for  the  issue  or  sale  of  such
               Convertible  Securities,  plus the  minimum  aggregate  amount of
               additional consideration, if any, payable to the Company upon the
               conversion or exchange thereof,  by (II) the total maximum number
               of  shares  of  Common  Stock  issuable  upon the  conversion  or
               exchange of all such Convertible Securities. No adjustment of the
               Exercise Price shall be made upon the actual issue of such Common
               Stock upon conversion or exchange of such Convertible Securities,
               and if any such issue or sale of such  Convertible  Securities is
               made upon  exercise of any Options  for which  adjustment  of the
               Exercise  Price  had  been or are to be made  pursuant  to  other
               provisions of this Section 6(h)(i),  no further adjustment of the
               Exercise Price shall be made by reason of such issue or sale.

                    (C) Change in Option Price or Rate of  Conversion.  If there
               is a change at any time in (i) the purchase price provided for in
               any Options, (ii) the additional  consideration,  if any, payable
               upon  the  issue,  conversion  or  exchange  of  any  Convertible
               Securities or (iii) the rate at which any Convertible 


                                       6


               Securities are convertible into or exchangeable for Common Stock,
               then the  Exercise  Price in  effect  at the time of such  change
               shall be readjusted  to the Exercise  Price which would have been
               in effect at such time had such Options or Convertible Securities
               still  outstanding  provided  for such  changed  purchase  price,
               additional  consideration or changed conversion rate, as the case
               may be, at the time initially granted,  issued or sold;  provided
               that no adjustment  shall be made if such adjustment would result
               in an increase of the Exercise Price then in effect.

                    (D) Certain  Definitions.  For purposes of  determining  the
               adjusted Exercise Price under this Section 6(h)(i), the following
               terms have meanings set forth below:

                         (I) "Approved Stock Plan" shall mean any contract, plan
                    or  agreement  which  has  been  approved  by the  Board  of
                    Directors  of the Company,  pursuant to which the  Company's
                    securities may be issued to any employee,  officer, director
                    or consultant.

                         (II) "Common Stock Deemed  Outstanding"  means,  at any
                    given time,  the number of shares of Common Stock issued and
                    outstanding  at such  time,  plus the  number  of  shares of
                    Common Stock deemed to be  outstanding  pursuant to Sections
                    6(h)(i)(A) and 6(h)(i)(B)  hereof  regardless of whether the
                    Options or Convertible  Securities are actually  exercisable
                    at such  time,  but  excluding  any  shares of Common  Stock
                    issuable  upon   conversion  of  the  shares  of  Series  G1
                    Preferred Stock or exercise of the Warrants.

                    (E) Effect on Exercise Price of Certain Events. For purposes
               of  determining  the adjusted  Exercise  Price under this Section
               6(h)(i), the following shall be applicable:

                         (I)  Calculation  of  Consideration  Received.  If  any
                    Common Stock,  Options or Convertible  Securities are issued
                    or sold or deemed to have been issued or sold for cash,  the
                    consideration received therefor will be deemed to be the net
                    amount received by the Company therefor.  In case any Common
                    Stock, Options or Convertible  Securities are issued or sold
                    for a  consideration  other  than  cash,  the  amount of the
                    consideration  other than cash  received by the Company will
                    be the fair value of such  consideration,  except where such
                    consideration  consists  of  securities,  in which  case the
                    amount of consideration  received by the Company will be the
                    arithmetic  average of the Per Share  Market  Values of such
                    security   for  the  five  (5)   consecutive   Trading  Days
                    immediately  preceding  the  date of  receipt.  In case  any
                    Common Stock,  Options or Convertible  Securities are issued
                    to the owners of the non-surviving entity in connection with
                    any merger in which the Company is the surviving  entity the
                    amount of  consideration  therefor  will be deemed to be the
                    fair value of such portion of the net assets and business of
                    the  non-surviving  entity as is attributable to such Common
                    Stock,  Options or Convertible  Securities,  as the case may
                    be. The fair value of any  consideration  other than cash or
                    securities will be determined jointly by the Company and the
                    Holders of a majority  of the shares of Series G1  Preferred
                    Stock then outstanding.  If such parties are unable to reach
                    agreement  within ten


                                       7


                    (10)  days  after  the  occurrence  of  an  event  requiring
                    valuation (the  "Valuation  Event"),  the fair value of such
                    consideration  will be determined  within  forty-eight  (48)
                    hours of the tenth (10th) day following the Valuation  Event
                    by an  independent,  reputable  appraiser  selected  by  the
                    Company.  The  determination  of  such  appraiser  shall  be
                    binding upon all parties absent manifest error.

                         (II)  Integrated  Transactions.  In case any  Option is
                    issued  in  connection  with  the  issue  or sale  of  other
                    securities   of  the  Company,   together   comprising   one
                    integrated transaction in which no specific consideration is
                    allocated  to  such  Options  by the  parties  thereto,  the
                    Options  will be deemed to have been issued for an aggregate
                    consideration of $.01.

                         (III) Treasury  Shares.  The number of shares of Common
                    Stock  outstanding at any given time does not include shares
                    owned or held by or for the account of the Company,  and the
                    disposition   of  any  shares  so  owned  or  held  will  be
                    considered an issue or sale of Common Stock.

                         (IV) Record Date.  If the Company takes a record of the
                    holders of Common  Stock for the purpose of  entitling  them
                    (1) to receive a dividend or other  distribution  payable in
                    Common Stock, Options or in Convertible Securities or (2) to
                    subscribe  for  or  purchase   Common   Stock,   Options  or
                    Convertible Securities, then such record date will be deemed
                    to be the date of the issue or sale of the  shares of Common
                    Stock   deemed  to  have  been   issued  or  sold  upon  the
                    declaration  of such  dividend  or the  making of such other
                    distribution  or the date of the  granting  of such right of
                    subscription or purchase, as the case may be.

               (ii) Certain Events. If any event occurs of the type contemplated
          by the provisions of Section 6(h)(i) (subject to the exceptions stated
          therein) but not expressly provided for by such provisions (including,
          without limitation, the granting of stock appreciation rights, phantom
          stock rights or other rights with equity features), then the Company's
          Board of Directors will make an appropriate adjustment in the Exercise
          Price  so as to  protect  the  rights  of the  Registered  Holder,  or
          assigns, of this Warrant;  provided,  however, that no such adjustment
          will increase the Exercise Price as otherwise  determined  pursuant to
          this Section 6(h).

     7. Per Share Market Value.  Per Share Market Value means on any  particular
date (i) the closing bid price per share of the Common Stock on such date on the
New York Stock Exchange or other registered national stock exchange on which the
Common Stock is then listed or if there is no such price on such date,  then the
closing  bid price on such  exchange  or  quotation  system on the date  nearest
preceding  such date,  or (ii) if the Common Stock is not listed then on the New
York Stock Exchange or any registered  national stock exchange,  the closing bid
price for a share of Common Stock in the over-the-counter market, as reported by
the New York Stock Exchange or in the National Quotation Bureau Incorporated (or
similar  organization or agency succeeding to its functions of reporting prices)
at the close of business on such date,  or (iii) if the Common Stock is not then
publicly  traded the fair market value of a share of Common Stock as  determined
by an Appraiser selected in good faith by the holder of this Warrant;  provided,
however, that the Company, after receipt of the determination by such Appraiser,
shall have the 


                                       8


right to select an additional  Appraiser,  in which case,  the fair market value
shall be equal to the average of the determinations by each such Appraiser;  and
provided, further that all determinations of the Per Share Market Value shall be
appropriately  adjusted for any stock  dividends,  stock splits or other similar
transactions during such period.

     8. Registration  Rights. The Company will undertake the registration of the
Common  Stock into which such  Warrants are  convertible  at such times and upon
such terms pursuant to the provisions of the Registration Rights Agreement dated
September  17, 1998 by and among the Company,  Brown  Simpson  Strategic  Growth
Fund,  L.P., Brown Simpson  Strategic Growth Fund, Ltd.,  Heracles Fund Ltd. and
Themis Partners, L.P.

     9. Notices. All notices or other communications required hereunder shall be
in writing and shall be sent either (i) by courier,  or (ii) by telecopy as well
as by registered or certified  mail,  and shall be regarded as properly given in
the case of a courier upon actual  delivery to the proper  place of address;  in
the case of telecopy,  on the day following the date of transmission if properly
addressed and sent without  transmission error to the correct number and receipt
is confirmed by telephone within 48 hours of the transmission;  in the case of a
letter for which a telecopy could not be successfully  transmitted or receipt of
which could not be confirmed as herein provided, three days after the registered
or  certified  mailing  date if the letter is  properly  addressed  and  postage
prepaid;  and shall be regarded as properly  addressed if sent to the parties or
their representatives at the addresses given below:


          To the Company:           Signal Apparel Company, Inc.
                                    200A Manufacturers Road
                                    Chattanooga, Tennessee  37405
                                    Attn:  President & General Counsel
                                    Phone:  (423) 756-8146
                                    Fax:  (423) 752-2040

          To the holder:            Brown Simpson Strategic Growth Fund, L.P.
                                    152 West 57th Street, 40th Floor
                                    New York, New York 10019
                                    Attn: Paul Gustus
                                    Phone:  (212) 247-8200
                                    Fax: (212) 247-1329

or such  other  address  as any of the  above  may have  furnished  to the other
parties in writing by registered mail, return receipt requested.



                            [signature page follows]



                                       9


     IN WITNESS  WHEREOF,  the Company has caused this Warrant to be executed by
its duly authorized officer as of the date first set forth above.

                                     SIGNAL APPAREL COMPANY, INC.


                                             
                                     By:    /s/ John W. Prutch
                                            --------------------------------
                                     Name:  John W. Prutch
                                     Title:  President











                                       10



                                    EXHIBIT A

                              Warrant Exercise Form

TO:  SIGNAL APPAREL COMPANY, INC.

     The  undersigned  hereby:  (1)  irrevocably  subscribes  for and  offers to
purchase  _______  shares  of  Common  Stock of Signal  Apparel  Company,  Inc.,
pursuant  to  Warrant  No.  G1  heretofore  issued  to   ___________________  on
____________,  1998; (2) encloses a payment of $__________ for these shares at a
price  of $____  per  share  (as  adjusted  pursuant  to the  provisions  of the
Warrant);  and (3) requests that a  certificate  for the shares be issued in the
name  of the  undersigned  and  delivered  to  the  undersigned  at the  address
specified below.


    Date:  ____________________________________________________


    Investor Name:  ___________________________________________

    Taxpayer Identification
    Number: ___________________________________________________


    By:  ______________________________________________________

    Printed Name:  ____________________________________________

    Title: ____________________________________________________

    Address: __________________________________________________



    Note:    The above signature  should  correspond  exactly with
             the name on the face of this Warrant  Certificate  or
             with the name of  assignee  appearing  in  assignment
             form below.


AND, if said number of shares shall not be all the shares  purchasable under the
within  Warrant,  a new Warrant  Certificate is to be issued in the name of said
undersigned for the balance remaining of the shares purchasable  thereunder less
any fraction of a share paid in cash and delivered to the address stated above.



                                       11


         THIS WARRANT AND ANY SHARES  ACQUIRED UPON THE EXERCISE OF THIS WARRANT
         HAVE NOT BEEN REGISTERED  UNDER THE SECURITIES ACT OF 1933 OR UNDER ANY
         STATE SECURITIES OR BLUE SKY LAWS. NEITHER THIS WARRANT NOR ANY OF SUCH
         SHARES  MAY  BE  OFFERED,  SOLD,  ASSIGNED,  TRANSFERRED  OR  OTHERWISE
         DISPOSED  OF IN THE  ABSENCE OF  REGISTRATION  UNDER SAID ACT AND UNDER
         APPLICABLE  STATE  SECURITIES OR BLUE SKY LAWS OR EXEMPTIONS  FROM SUCH
         REGISTRATION


32,000                                                          Warrant No. G1-2



                          SIGNAL APPAREL COMPANY, INC.
                             STOCK PURCHASE WARRANT



Registered Owner:  Brown Simpson Strategic Growth Fund, Ltd.

     This certifies that, for value received,  Signal Apparel Company,  Inc., an
Indiana  corporation,  the  ("Company")  grants  the  following  rights  to  the
Registered Owner, or assigns, of this Warrant:

     1. Issue. Upon tender (as defined in section 5 hereof) to the Company,  the
Company shall issue to the  Registered  Owner,  or assigns,  up to the number of
shares specified in paragraph 2 hereof of fully paid and nonassessable shares of
Common Stock that the Registered  Owner,  or assigns,  is otherwise  entitled to
purchase.

     2. Number of Shares.  The total  number of shares of Common  Stock that the
Registered  Owner,  or assigns,  of this  Warrant is  entitled  to receive  upon
exercise of this Warrant is 32,000  shares,  subject to adjustment  from time to
time as set forth in paragraph 6 below.  The Company  shall at all times reserve
and hold available  sufficient  shares of Common Stock to satisfy all conversion
and purchase rights represented by outstanding convertible  securities,  options
and warrants,  including this Warrant. The Company covenants and agrees that all
shares of Common  Stock that may be issued  upon the  exercise  of this  Warrant
shall, upon issuance,  be duly and validly issued, fully paid and nonassessable,
and free from all taxes,  liens and charges with respect to the purchase and the
issuance of the shares.

     3. Exercise Price.  The exercise price of this Warrant,  the price at which
the shares of stock  purchasable upon exercise of this Warrant may be purchased,
is  125%  of  the  Fixed  Strike  Price  (as  defined  in  the   Certificate  of
Designation), subject to adjustment from time to time pursuant to the provisions
of paragraph 6 below (the "Exercise Price").

     4.  Exercise  Period.  This  Warrant  may only be  exercised  beginning  on
September 17, 1998 and up to and  including  September 17, 2003 five years after
the date of the Warrant,


                                       


less one day. If not exercised  during this period,  this Warrant and all rights
granted under this Warrant shall expire and lapse.

     5. Tender.  This Warrant may be  exercised,  in whole or in part, by actual
delivery  of (i) the  Exercise  Price  in  cash,  (ii) a duly  executed  Warrant
Exercise  Form,  a copy of which is  attached  to this  Warrant  as  Exhibit  A,
properly  executed by the Registered  Owner,  or assigns,  of this Warrant,  and
(iii) by surrender of this Warrant.  The payment and Warrant  Exercise Form must
be delivered,  personally or by mail, to the  registered  office of the Company.
Documents sent by mail shall be deemed to be delivered when they are received by
the Company.

     6. Adjustment of Exercise Price.

          (a) If the Company, at any time while this Warrant is outstanding, (a)
     shall pay a stock dividend on its Common Stock,  (b) subdivide  outstanding
     shares  of  Common  Stock  into a larger  number  of  shares,  (c)  combine
     outstanding  shares of Common Stock into a smaller number of shares, or (d)
     issue by  reclassification  of shares of Common Stock any shares of capital
     stock of the Company,  the Exercise Price shall be multiplied by a fraction
     the  numerator  of which  shall be the  number of  shares  of Common  Stock
     (excluding  treasury shares, if any) outstanding  before such event and the
     denominator  of  which  shall be the  number  of  shares  of  Common  Stock
     outstanding  after  such  event.  Any  adjustment  made  pursuant  to  this
     paragraph (6)(a) shall become effective  immediately  after the record date
     for the determination of shareholders  entitled to receive such dividend or
     distribution  and shall become  effective  immediately  after the effective
     date in the case of a subdivision, combination or re-classification.

          (b) If the  Company,  at any time while this  Warrant is  outstanding,
     shall  issue  rights or  warrants  to all of the  holders  of Common  Stock
     entitling  them to  subscribe  for or purchase  shares of Common Stock at a
     price per share less than the Per Share Market Value (as defined  below) of
     Common Stock at the record date mentioned  below,  the Exercise Price shall
     be multiplied by a fraction,  the  denominator of which shall be the number
     of shares of Common Stock (excluding  treasury shares,  if any) outstanding
     on the date of  issuance  of such  rights or  warrants  plus the  number of
     additional shares of Common Stock offered for subscription or purchase, and
     the  numerator  of which  shall be the  number of  shares  of Common  Stock
     (excluding  treasury shares, if any) outstanding on the date of issuance of
     such  rights or  warrants  plus the  number of shares  which the  aggregate
     offering  price of the total number of shares so offered would  purchase at
     such Per Share Market Value.  Such  adjustment  shall be made whenever such
     rights or warrants are issued, and shall become effective immediately after
     the record date for the  determination of shareholders  entitled to receive
     such  rights or  warrants.  However,  upon the  expiration  of any right or
     warrant to  purchase  Common  Stock the  issuance  of which  resulted in an
     adjustment in the Exercise Price pursuant to this paragraph  (6)(b), if any
     such right or warrant shall expire and all or any portion thereof shall not
     have  been  exercised,  the  Exercise  Price  shall  immediately  upon such
     expiration be re-computed and effective immediately upon such expiration be
     increased to the price which it would have been (but  reflecting  any other
     adjustments  in the  Exercise  Price made  pursuant  to the  provisions  of
     section  (f)  after  the  issuance  of such  rights  or  warrants)  had the
     adjustment  of the Exercise  Price made upon the issuance of such rights or
     warrants  been made on the basis of offering for  subscription  or purchase
     only that


                                       2


     number  of shares of Common  Stock  (if any)  actually  purchased  upon the
     exercise of such rights or warrants actually exercised.

          (c) If the  Company,  at any time while this  Warrant is  outstanding,
     shall  distribute  to all of the holders of Common  Stock  evidences of its
     indebtedness  or assets or rights or warrants to subscribe  for or purchase
     any  security  (excluding  those  referred  to in  paragraphs  6(a) and (b)
     above),  then in each such  case the  Exercise  Price at which the  Warrant
     shall  thereafter be  convertible  shall be determined by  multiplying  the
     Exercise  Price in effect  immediately  prior to the record  date fixed for
     determination  of shareholders  entitled to receive such  distribution by a
     fraction  the  denominator  of which shall be the Per Share Market Value of
     Common Stock  determined  as of the record date  mentioned  above,  and the
     numerator of which shall be such Per Share Market Value of the Common Stock
     on such record date less the then fair market  value at such record date of
     the  portion of such  assets or evidence  of  indebtedness  so  distributed
     applicable  to one  outstanding  share of Common Stock as determined by the
     Board of Directors in good faith; provided, however, that in the event of a
     distribution  exceeding ten percent of the net assets of the Company,  such
     fair market value shall be determined  by a nationally  recognized or major
     regional  investment  banking firm or firm of independent  certified public
     accountants of recognized standing (an "Appraiser")  selected in good faith
     by the holder of the  Warrant;  and  provided,  further,  that the Company,
     after receipt of the  determination  by such Appraiser shall have the right
     to select an additional Appraiser meeting the same qualifications,  in good
     faith, in which case the fair market value shall be equal to the average of
     the  determinations  by each such Appraiser.  Such adjustment shall be made
     whenever  any  such   distribution  is  made  and  shall  become  effective
     immediately after the record date mentioned above.

          (d) All calculations under this section 6 shall be made to the nearest
     cent or the nearest l/l00th of a share, as the case may be.

          (e)  Whenever the Exercise  Price is adjusted  pursuant to  paragraphs
     6(a),  (b) or (c),  the Company  shall  promptly  mail to the holder of the
     Warrant,  a notice setting forth the Exercise  Price after such  adjustment
     and setting forth a brief statement of the facts requiring such adjustment.

          (f) In case of (A) any  reclassification  of the Common Stock, (B) any
     consolidation or merger of the Company with or into another person pursuant
     to which  (i) a  majority  of the  Company's  Board of  Directors  will not
     constitute a majority of the board of directors of the surviving  entity or
     (ii) less than 51% of the  outstanding  shares of the capital  stock of the
     surviving entity will be held by the same shareholders of the Company prior
     to such reclassification, consolidation or merger, (C) the sale or transfer
     of all  or  substantially  all  of the  assets  of  the  Company,  (D)  any
     compulsory  share exchange  pursuant to which the Common Stock is converted
     into other  securities,  cash or property,  (E) suspension  from listing or
     delisting  of the  Common  Stock from The New York  Stock  Exchange  or The
     Nasdaq  National  Market  for a period of five  consecutive  days,  (F) the
     Company's notice to any Holder, including by way of public announcement, at
     any time,  of its  intention,  for any  reason,  not to comply  with proper
     requests for conversion of any shares of Series G1 Preferred Stock into, or
     exercise of this


                                       3


     Warrant for,  shares of Common Stock, or (G) a breach by the Company of any
     representation,  warranty,  covenant  or  other  term or  condition  of the
     Purchase Agreement,  the Registration Rights Agreement,  the Certificate of
     Designation  or  any  other  agreement,   document,  certificate  or  other
     instrument  delivered  in  connection  with the  transactions  contemplated
     thereby or hereby,  except to the extent that such breach  would not have a
     Material  Adverse  Effect (as  defined in  Section  2.1(a) of the  Purchase
     Agreement)  and  except,  in the case of a breach  of a  covenant  which is
     curable,  only if such breach  continues  for a period of at least ten days
     after the Company knows or reasonably should have known of the existence of
     such breach  (clauses  (A) through (G) above  referred to as a  "Redemption
     Event"),  the  holder of the  Warrant  shall have the right  thereafter  to
     convert  the  Warrant  only into the shares of stock and other  securities,
     cash and property receivable upon or deemed to be held by holders of Common
     Stock following such Redemption  Event, and the holder of the Warrant shall
     be entitled upon such event to receive such amount of  securities,  cash or
     property as the shares of the Common  Stock of the  Company  into which the
     Warrant  could have been  converted  immediately  prior to such  Redemption
     Event would have been entitled.

          (g) If:

          A.   the Company shall declare a dividend (or any other  distribution)
               on its Common Stock; or

          B.   the Company shall declare a special nonrecurring cash dividend on
               or a redemption of its Common Stock; or

          C.   the Company  shall  authorize  the granting to the holders of the
               Common Stock rights or warrants to subscribe  for or purchase any
               shares of capital stock of any class or of any rights; or

          D.   the approval of any shareholders of the Company shall be required
               in connection  with any  reclassification  of the Common Stock of
               the Company,  any consolidation or merger to which the Company is
               a party, any sale or transfer of all or substantially  all of the
               assets  of the  Company,  of any  compulsory  share  of  exchange
               whereby the Common Stock is converted into other securities, cash
               or property; or

          E.   the  Company  shall   authorize  the  voluntary  or   involuntary
               dissolution,  liquidation  or  winding  up of the  affairs of the
               Company;

     then  the  Company  shall  cause  to be  filed  at each  office  or  agency
     maintained  for the purpose of conversion of this Warrant,  and shall cause
     to be  mailed to the  holder of this  Warrant  at its  address  as it shall
     appear below,  at least 30 calendar days prior to the applicable  record or
     effective date hereinafter  specified, a notice (provided such notice shall
     not include any material  non-public  information)  stating (x) the date on
     which  a  record  is  to  be  taken  for  the  purpose  of  such  dividend,
     distribution,  redemption,  rights or warrants, or if a record is not to be
     taken,  the date as of which the  holders  of Common  Stock of record to be
     entitled to such dividend, 


                                       4


     distributions,  redemption,  rights or warrants are to be determined or (y)
     the date on  which  such  reclassification,  consolidation,  merger,  sale,
     transfer or share  exchange is expected to become  effective or close,  and
     the date as of which it is expected  that holders of Common Stock of record
     shall be entitled to exchange their shares of Common Stock for  securities,
     cash  or   other   property   deliverable   upon   such   reclassification,
     consolidation, merger, sale, transfer or share exchange; provided, however,
     that the  failure  to mail such  notice  or any  defect  therein  or in the
     mailing  thereof  shall not affect the  validity  of the  corporate  action
     required to be specified in such notice.

          (h) Adjustment to Exercise Price. In order to prevent  dilution of the
     rights  granted under this Warrant,  the Exercise  Price will be subject to
     adjustment from time to time as provided in this Section 6(h).

               (i)  Adjustment of Exercise  Price upon Issuance of Common Stock.
          If and whenever on or after the Closing  Date,  the Company  issues or
          sells, or is deemed to have issued or sold, any shares of Common Stock
          (other than the Underlying Shares,  Warrant Shares or shares of Common
          Stock deemed to have been issued by the Company in connection  with an
          Approved Stock Plan (as defined below)) for a consideration  per share
          less  than the  Exercise  Price in  effect  immediately  prior to such
          issuance  or sale,  then  immediately  after such  issue or sale,  the
          Exercise  Price then in effect  shall be reduced to an amount equal to
          the  consideration per share of Common Stock of such issuance or sale.
          If and whenever on or after the Closing  Date,  the Company  issues or
          sells, or is deemed to have issued or sold, any shares of Common Stock
          (other than the Underlying  Shares,  Warrant Shares,  shares of Common
          Stock deemed to have been issued by the Company in connection  with an
          Approved  Stock  Plan (as  defined  below) or  shares of Common  Stock
          issued  or  deemed  to  have  been  issued  as  consideration  for  an
          acquisition  by the Company of a license or of a  division,  assets or
          business  (or stock  constituting  any portion  thereof)  from another
          person) for a  consideration  per share which is (A) greater  than the
          Exercise  Price in effect  immediately  prior to such issuance or sale
          and (B) less the  average of the Per Share  Market  Values on the five
          consecutive  trading  days  immediately  preceding  the  date  of such
          issuance or sale (the price in this  clause (B) is herein  referred to
          as "Market  Price"),  then  immediately  after such issue or sale, the
          Exercise  Price then in effect  shall be reduced to an amount equal to
          the product of (x) the Exercise Price in effect  immediately  prior to
          such issue or sale and (y) the quotient determined by dividing (1) the
          sum of (I) the  product of (A) the Market  Price and (B) the number of
          shares  of  Common  Stock  Deemed   Outstanding   (as  defined  below)
          immediately  prior to such issue or sale, and (II) the  consideration,
          if any,  received by the Company  upon such issue or sale,  by (2) the
          product  of (I) the  Market  Price  and (II) the  number  of shares of
          Common Stock Deemed  Outstanding (as defined below)  immediately after
          such issue or sale. For purposes of determining the adjusted  Exercise
          Price under this Section 6(h)(i), the following shall be applicable:

                    (A) Issuance of Options. If the Company in any manner grants
               any rights or  options to  subscribe  for or to  purchase  Common
               Stock  or any  stock  or  other  securities  convertible  into or
               exchangeable  for Common  Stock  (such  rights or  options  being
               herein called  "Options"  and such  convertible  or  exchangeable
               stock or securities being herein called "Convertible Securities")
               and the price per share for which Common  Stock is 


                                       5


               issuable upon the exercise of such Options or upon  conversion or
               exchange of such Convertible Securities is less than the Exercise
               Price in the case of the first  sentence of Section  6(h)(i),  or
               the Market  Price in the case of the second  sentence  of Section
               6(h)(i)  (collectively,  the "Applicable Price"),  then the total
               maximum  number  of  shares of  Common  Stock  issuable  upon the
               exercise of such  Options or upon  conversion  or exchange of the
               total maximum amount of such Convertible Securities issuable upon
               the  exercise of such Options  shall be deemed to be  outstanding
               and to have been  issued and sold by the  Company  for such price
               per share.  For purposes of this Section  6(h)(i)(A),  the "price
               per share for which  Common  Stock is issuable  upon  exercise of
               such Options or upon  conversion or exchange of such  Convertible
               Securities"  is determined  by dividing (I) the total amount,  if
               any,  received or receivable by the Company as consideration  for
               the granting of such Options,  plus the minimum  aggregate amount
               of  additional  consideration  payable  to the  Company  upon the
               exercise of all such  Options,  plus in the case of such  Options
               which relate to  Convertible  Securities,  the minimum  aggregate
               amount  of  additional  consideration,  if  any,  payable  to the
               Company upon the issuance or sale of such Convertible  Securities
               and the conversion or exchange thereof, by (II) the total maximum
               number of shares of Common Stock  issuable  upon exercise of such
               Options  or  upon  the   conversion   or  exchange  of  all  such
               Convertible   Securities  issuable  upon  the  exercise  of  such
               Options.  No adjustment of the Exercise  Price shall be made upon
               the actual  issuance of such Common Stock or of such  Convertible
               Securities  upon the  exercise of such Options or upon the actual
               issuance of such Common Stock upon conversion or exchange of such
               Convertible Securities.

                    (B) Issuance of  Convertible  Securities.  If the Company in
               any manner  issues or sells any  Convertible  Securities  and the
               price  per share for which  Common  Stock is  issuable  upon such
               conversion or exchange is less than the  Applicable  Price,  then
               the  maximum  number  of shares of  Common  Stock  issuable  upon
               conversion or exchange of such  Convertible  Securities  shall be
               deemed to be outstanding  and to have been issued and sold by the
               Company  for such  price  per  share.  For the  purposes  of this
               Section  6(h)(i)(B),  the "price per share for which Common Stock
               is issuable  upon such  conversion  or exchange" is determined by
               dividing  (I) the total  amount  received  or  receivable  by the
               Company  as   consideration   for  the  issue  or  sale  of  such
               Convertible  Securities,  plus the  minimum  aggregate  amount of
               additional consideration, if any, payable to the Company upon the
               conversion or exchange thereof,  by (II) the total maximum number
               of  shares  of  Common  Stock  issuable  upon the  conversion  or
               exchange of all such Convertible Securities. No adjustment of the
               Exercise Price shall be made upon the actual issue of such Common
               Stock upon conversion or exchange of such Convertible Securities,
               and if any such issue or sale of such  Convertible  Securities is
               made upon  exercise of any Options  for which  adjustment  of the
               Exercise  Price  had  been or are to be made  pursuant  to  other
               provisions of this Section 6(h)(i),  no further adjustment of the
               Exercise Price shall be made by reason of such issue or sale.

                    (C) Change in Option Price or Rate of  Conversion.  If there
               is a change at any time in (i) the purchase price provided for in
               any Options, (ii) the additional  consideration,  if any, payable
               upon  the  issue,  conversion  or  exchange  of  any  Convertible

                                       6


               Securities or (iii) the rate at which any Convertible  Securities
               are convertible into or exchangeable  for Common Stock,  then the
               Exercise  Price in  effect  at the time of such  change  shall be
               readjusted to the Exercise  Price which would have been in effect
               at such time had such  Options or  Convertible  Securities  still
               outstanding provided for such changed purchase price,  additional
               consideration or changed  conversion rate, as the case may be, at
               the time  initially  granted,  issued or sold;  provided  that no
               adjustment  shall be made if such  adjustment  would result in an
               increase of the Exercise Price then in effect.

                    (D) Certain  Definitions.  For purposes of  determining  the
               adjusted Exercise Price under this Section 6(h)(i), the following
               terms have meanings set forth below:

                         (I) "Approved Stock Plan" shall mean any contract, plan
                    or  agreement  which  has  been  approved  by the  Board  of
                    Directors  of the Company,  pursuant to which the  Company's
                    securities may be issued to any employee,  officer, director
                    or consultant.

                         (II) "Common Stock Deemed  Outstanding"  means,  at any
                    given time,  the number of shares of Common Stock issued and
                    outstanding  at such  time,  plus the  number  of  shares of
                    Common Stock deemed to be  outstanding  pursuant to Sections
                    6(h)(i)(A) and 6(h)(i)(B)  hereof  regardless of whether the
                    Options or Convertible  Securities are actually  exercisable
                    at such  time,  but  excluding  any  shares of Common  Stock
                    issuable  upon   conversion  of  the  shares  of  Series  G1
                    Preferred Stock or exercise of the Warrants.

                    (E) Effect on Exercise Price of Certain Events. For purposes
               of  determining  the adjusted  Exercise  Price under this Section
               6(h)(i), the following shall be applicable:

                         (I)  Calculation  of  Consideration  Received.  If  any
                    Common Stock,  Options or Convertible  Securities are issued
                    or sold or deemed to have been issued or sold for cash,  the
                    consideration received therefor will be deemed to be the net
                    amount received by the Company therefor.  In case any Common
                    Stock, Options or Convertible  Securities are issued or sold
                    for a  consideration  other  than  cash,  the  amount of the
                    consideration  other than cash  received by the Company will
                    be the fair value of such  consideration,  except where such
                    consideration  consists  of  securities,  in which  case the
                    amount of consideration  received by the Company will be the
                    arithmetic  average of the Per Share  Market  Values of such
                    security   for  the  five  (5)   consecutive   Trading  Days
                    immediately  preceding  the  date of  receipt.  In case  any
                    Common Stock,  Options or Convertible  Securities are issued
                    to the owners of the non-surviving entity in connection with
                    any merger in which the Company is the surviving  entity the
                    amount of  consideration  therefor  will be deemed to be the
                    fair value of such portion of the net assets and business of
                    the  non-surviving  entity as is attributable to such Common
                    Stock,  Options or Convertible  Securities,  as the case may
                    be. The fair value of any  consideration  other than cash or
                    securities will be determined jointly by the Company and the
                    Holders of a majority  of the shares of Series G1  Preferred
                    Stock then outstanding.  If such parties are unable to reach
                    agreement  within ten 


                                       7


                    (10)  days  after  the  occurrence  of  an  event  requiring
                    valuation (the  "Valuation  Event"),  the fair value of such
                    consideration  will be determined  within  forty-eight  (48)
                    hours of the tenth (10th) day following the Valuation  Event
                    by an  independent,  reputable  appraiser  selected  by  the
                    Company.  The  determination  of  such  appraiser  shall  be
                    binding upon all parties absent manifest error.

                         (II)  Integrated  Transactions.  In case any  Option is
                    issued  in  connection  with  the  issue  or sale  of  other
                    securities   of  the  Company,   together   comprising   one
                    integrated transaction in which no specific consideration is
                    allocated  to  such  Options  by the  parties  thereto,  the
                    Options  will be deemed to have been issued for an aggregate
                    consideration of $.01.

                         (III) Treasury  Shares.  The number of shares of Common
                    Stock  outstanding at any given time does not include shares
                    owned or held by or for the account of the Company,  and the
                    disposition   of  any  shares  so  owned  or  held  will  be
                    considered an issue or sale of Common Stock.

                         (IV) Record Date.  If the Company takes a record of the
                    holders of Common  Stock for the purpose of  entitling  them
                    (1) to receive a dividend or other  distribution  payable in
                    Common Stock, Options or in Convertible Securities or (2) to
                    subscribe  for  or  purchase   Common   Stock,   Options  or
                    Convertible Securities, then such record date will be deemed
                    to be the date of the issue or sale of the  shares of Common
                    Stock   deemed  to  have  been   issued  or  sold  upon  the
                    declaration  of such  dividend  or the  making of such other
                    distribution  or the date of the  granting  of such right of
                    subscription or purchase, as the case may be.

               (ii) Certain Events. If any event occurs of the type contemplated
          by the provisions of Section 6(h)(i) (subject to the exceptions stated
          therein) but not expressly provided for by such provisions (including,
          without limitation, the granting of stock appreciation rights, phantom
          stock rights or other rights with equity features), then the Company's
          Board of Directors will make an appropriate adjustment in the Exercise
          Price  so as to  protect  the  rights  of the  Registered  Holder,  or
          assigns, of this Warrant;  provided,  however, that no such adjustment
          will increase the Exercise Price as otherwise  determined  pursuant to
          this Section 6(h).

     7. Per Share Market Value.  Per Share Market Value means on any  particular
date (i) the closing bid price per share of the Common Stock on such date on the
New York Stock Exchange or other registered national stock exchange on which the
Common Stock is then listed or if there is no such price on such date,  then the
closing  bid price on such  exchange  or  quotation  system on the date  nearest
preceding  such date,  or (ii) if the Common Stock is not listed then on the New
York Stock Exchange or any registered  national stock exchange,  the closing bid
price for a share of Common Stock in the over-the-counter market, as reported by
the New York Stock Exchange or in the National Quotation Bureau Incorporated (or
similar  organization or agency succeeding to its functions of reporting prices)
at the close of business on such date,  or (iii) if the Common Stock is not then
publicly  traded the fair market value of a share of Common Stock as  determined
by an Appraiser selected in good faith by the holder of this Warrant;  provided,
however, that the Company, after receipt of the determination by such Appraiser,
shall have the


                                       8


right to select an additional  Appraiser,  in which case,  the fair market value
shall be equal to the average of the determinations by each such Appraiser;  and
provided, further that all determinations of the Per Share Market Value shall be
appropriately  adjusted for any stock  dividends,  stock splits or other similar
transactions during such period.

     8. Registration  Rights. The Company will undertake the registration of the
Common  Stock into which such  Warrants are  convertible  at such times and upon
such terms pursuant to the provisions of the Registration Rights Agreement dated
September  17, 1998 by and among the Company,  Brown  Simpson  Strategic  Growth
Fund,  L.P., Brown Simpson  Strategic Growth Fund, Ltd.,  Heracles Fund Ltd. and
Themis Partners, L.P.

     9. Notices. All notices or other communications required hereunder shall be
in writing and shall be sent either (i) by courier,  or (ii) by telecopy as well
as by registered or certified  mail,  and shall be regarded as properly given in
the case of a courier upon actual  delivery to the proper  place of address;  in
the case of telecopy,  on the day following the date of transmission if properly
addressed and sent without  transmission error to the correct number and receipt
is confirmed by telephone within 48 hours of the transmission;  in the case of a
letter for which a telecopy could not be successfully  transmitted or receipt of
which could not be confirmed as herein provided, three days after the registered
or  certified  mailing  date if the letter is  properly  addressed  and  postage
prepaid;  and shall be regarded as properly  addressed if sent to the parties or
their representatives at the addresses given below:

         To the Company:           Signal Apparel Company, Inc.
                                   200A Manufacturers Road
                                   Chattanooga, Tennessee  37405
                                   Attn:  President & General Counsel
                                   Phone:  (423) 756-8146
                                   Fax:  (423) 752-2040

         To the holder:            Brown Simpson Strategic Growth Fund, Ltd.
                                   152 West 57th Street, 40th Floor
                                   New York, New York 10019
                                   Attn: Paul Gustus
                                   Phone:  (212) 247-8200
                                   Fax: (212) 247-1329

or such  other  address  as any of the  above  may have  furnished  to the other
parties in writing by registered mail, return receipt requested.



                            [signature page follows]


                                       9



         IN WITNESS WHEREOF,  the Company has caused this Warrant to be executed
by its duly authorized officer as of the date first set forth above.


                                         SIGNAL APPAREL COMPANY, INC.


                                                
                                         By:    /s/ John W. Prutch
                                                ---------------------
                                         Name:  John W. Prutch
                                         Title:  President

























                                       10



                                    EXHIBIT A

                              Warrant Exercise Form

TO:      SIGNAL APPAREL COMPANY, INC.

     The  undersigned  hereby:  (1)  irrevocably  subscribes  for and  offers to
purchase  _______  shares  of  Common  Stock of Signal  Apparel  Company,  Inc.,
pursuant  to  Warrant  No.  G1  heretofore  issued  to   ___________________  on
____________,  1998; (2) encloses a payment of $__________ for these shares at a
price  of $____  per  share  (as  adjusted  pursuant  to the  provisions  of the
Warrant);  and (3) requests that a  certificate  for the shares be issued in the
name  of the  undersigned  and  delivered  to  the  undersigned  at the  address
specified below.


    Date:  ____________________________________________________


    Investor Name:  ___________________________________________

    Taxpayer Identification
    Number: ___________________________________________________


    By:  ______________________________________________________

    Printed Name:  ____________________________________________

    Title: ____________________________________________________

    Address: __________________________________________________



    Note:    The above signature  should  correspond  exactly with
             the name on the face of this Warrant  Certificate  or
             with the name of  assignee  appearing  in  assignment
             form below.


AND, if said number of shares shall not be all the shares  purchasable under the
within  Warrant,  a new Warrant  Certificate is to be issued in the name of said
undersigned for the balance remaining of the shares purchasable  thereunder less
any fraction of a share paid in cash and delivered to the address stated above.



                                       11



          THIS WARRANT AND ANY SHARES ACQUIRED UPON THE EXERCISE OF THIS WARRANT
          HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933 OR UNDER ANY
          STATE  SECURITIES  OR BLUE SKY LAWS.  NEITHER  THIS WARRANT NOR ANY OF
          SUCH SHARES MAY BE OFFERED,  SOLD, ASSIGNED,  TRANSFERRED OR OTHERWISE
          DISPOSED  OF IN THE ABSENCE OF  REGISTRATION  UNDER SAID ACT AND UNDER
          APPLICABLE  STATE  SECURITIES OR BLUE SKY LAWS OR EXEMPTIONS FROM SUCH
          REGISTRATION


12,500                                                          Warrant No. G1-3



                          SIGNAL APPAREL COMPANY, INC.
                             STOCK PURCHASE WARRANT



Registered Owner:  Themis Partners, L.P.

     This certifies that, for value received,  Signal Apparel Company,  Inc., an
Indiana  corporation,  the  ("Company")  grants  the  following  rights  to  the
Registered Owner, or assigns, of this Warrant:

     1. Issue. Upon tender (as defined in section 5 hereof) to the Company,  the
Company shall issue to the  Registered  Owner,  or assigns,  up to the number of
shares specified in paragraph 2 hereof of fully paid and nonassessable shares of
Common Stock that the Registered  Owner,  or assigns,  is otherwise  entitled to
purchase.

     2. Number of Shares.  The total  number of shares of Common  Stock that the
Registered  Owner,  or assigns,  of this  Warrant is  entitled  to receive  upon
exercise of this Warrant is 12,500  shares,  subject to adjustment  from time to
time as set forth in paragraph 6 below.  The Company  shall at all times reserve
and hold available  sufficient  shares of Common Stock to satisfy all conversion
and purchase rights represented by outstanding convertible  securities,  options
and warrants,  including this Warrant. The Company covenants and agrees that all
shares of Common  Stock that may be issued  upon the  exercise  of this  Warrant
shall, upon issuance,  be duly and validly issued, fully paid and nonassessable,
and free from all taxes,  liens and charges with respect to the purchase and the
issuance of the shares.

     3. Exercise Price.  The exercise price of this Warrant,  the price at which
the shares of stock  purchasable upon exercise of this Warrant may be purchased,
is  125%  of  the  Fixed  Strike  Price  (as  defined  in  the   Certificate  of
Designation), subject to adjustment from time to time pursuant to the provisions
of paragraph 6 below (the "Exercise Price").

     4.  Exercise  Period.  This  Warrant  may only be  exercised  beginning  on
September 17, 1998 and up to and  including  September 17, 2003 five years after
the date of the Warrant,


                                       


less one day. If not exercised  during this period,  this Warrant and all rights
granted under this Warrant shall expire and lapse.

     5. Tender.  This Warrant may be  exercised,  in whole or in part, by actual
delivery  of (i) the  Exercise  Price  in  cash,  (ii) a duly  executed  Warrant
Exercise  Form,  a copy of which is  attached  to this  Warrant  as  Exhibit  A,
properly  executed by the Registered  Owner,  or assigns,  of this Warrant,  and
(iii) by surrender of this Warrant.  The payment and Warrant  Exercise Form must
be delivered,  personally or by mail, to the  registered  office of the Company.
Documents sent by mail shall be deemed to be delivered when they are received by
the Company.

     6. Adjustment of Exercise Price.

          (a) If the Company, at any time while this Warrant is outstanding, (a)
     shall pay a stock dividend on its Common Stock,  (b) subdivide  outstanding
     shares  of  Common  Stock  into a larger  number  of  shares,  (c)  combine
     outstanding  shares of Common Stock into a smaller number of shares, or (d)
     issue by  reclassification  of shares of Common Stock any shares of capital
     stock of the Company,  the Exercise Price shall be multiplied by a fraction
     the  numerator  of which  shall be the  number of  shares  of Common  Stock
     (excluding  treasury shares, if any) outstanding  before such event and the
     denominator  of  which  shall be the  number  of  shares  of  Common  Stock
     outstanding  after  such  event.  Any  adjustment  made  pursuant  to  this
     paragraph (6)(a) shall become effective  immediately  after the record date
     for the determination of shareholders  entitled to receive such dividend or
     distribution  and shall become  effective  immediately  after the effective
     date in the case of a subdivision, combination or re-classification.

          (b) If the  Company,  at any time while this  Warrant is  outstanding,
     shall  issue  rights or  warrants  to all of the  holders  of Common  Stock
     entitling  them to  subscribe  for or purchase  shares of Common Stock at a
     price per share less than the Per Share Market Value (as defined  below) of
     Common Stock at the record date mentioned  below,  the Exercise Price shall
     be multiplied by a fraction,  the  denominator of which shall be the number
     of shares of Common Stock (excluding  treasury shares,  if any) outstanding
     on the date of  issuance  of such  rights or  warrants  plus the  number of
     additional shares of Common Stock offered for subscription or purchase, and
     the  numerator  of which  shall be the  number of  shares  of Common  Stock
     (excluding  treasury shares, if any) outstanding on the date of issuance of
     such  rights or  warrants  plus the  number of shares  which the  aggregate
     offering  price of the total number of shares so offered would  purchase at
     such Per Share Market Value.  Such  adjustment  shall be made whenever such
     rights or warrants are issued, and shall become effective immediately after
     the record date for the  determination of shareholders  entitled to receive
     such  rights or  warrants.  However,  upon the  expiration  of any right or
     warrant to  purchase  Common  Stock the  issuance  of which  resulted in an
     adjustment in the Exercise Price pursuant to this paragraph  (6)(b), if any
     such right or warrant shall expire and all or any portion thereof shall not
     have  been  exercised,  the  Exercise  Price  shall  immediately  upon such
     expiration be re-computed and effective immediately upon such expiration be
     increased to the price which it would have been (but  reflecting  any other
     adjustments  in the  Exercise  Price made  pursuant  to the  provisions  of
     section  (f)  after  the  issuance  of such  rights  or  warrants)  had the
     adjustment  of the Exercise  Price made upon the issuance of such rights or
     warrants  been made on the basis of offering for  subscription  or purchase
     only that 


                                       2


     number  of shares of Common  Stock  (if any)  actually  purchased  upon the
     exercise of such rights or warrants actually exercised.

          (c) If the  Company,  at any time while this  Warrant is  outstanding,
     shall  distribute  to all of the holders of Common  Stock  evidences of its
     indebtedness  or assets or rights or warrants to subscribe  for or purchase
     any  security  (excluding  those  referred  to in  paragraphs  6(a) and (b)
     above),  then in each such  case the  Exercise  Price at which the  Warrant
     shall  thereafter be  convertible  shall be determined by  multiplying  the
     Exercise  Price in effect  immediately  prior to the record  date fixed for
     determination  of shareholders  entitled to receive such  distribution by a
     fraction  the  denominator  of which shall be the Per Share Market Value of
     Common Stock  determined  as of the record date  mentioned  above,  and the
     numerator of which shall be such Per Share Market Value of the Common Stock
     on such record date less the then fair market  value at such record date of
     the  portion of such  assets or evidence  of  indebtedness  so  distributed
     applicable  to one  outstanding  share of Common Stock as determined by the
     Board of Directors in good faith; provided, however, that in the event of a
     distribution  exceeding ten percent of the net assets of the Company,  such
     fair market value shall be determined  by a nationally  recognized or major
     regional  investment  banking firm or firm of independent  certified public
     accountants of recognized standing (an "Appraiser")  selected in good faith
     by the holder of the  Warrant;  and  provided,  further,  that the Company,
     after receipt of the  determination  by such Appraiser shall have the right
     to select an additional Appraiser meeting the same qualifications,  in good
     faith, in which case the fair market value shall be equal to the average of
     the  determinations  by each such Appraiser.  Such adjustment shall be made
     whenever  any  such   distribution  is  made  and  shall  become  effective
     immediately after the record date mentioned above.

          (d) All calculations under this section 6 shall be made to the nearest
     cent or the nearest l/l00th of a share, as the case may be.

          (e)  Whenever the Exercise  Price is adjusted  pursuant to  paragraphs
     6(a),  (b) or (c),  the Company  shall  promptly  mail to the holder of the
     Warrant,  a notice setting forth the Exercise  Price after such  adjustment
     and setting forth a brief statement of the facts requiring such adjustment.

          (f) In case of (A) any  reclassification  of the Common Stock, (B) any
     consolidation or merger of the Company with or into another person pursuant
     to which  (i) a  majority  of the  Company's  Board of  Directors  will not
     constitute a majority of the board of directors of the surviving  entity or
     (ii) less than 51% of the  outstanding  shares of the capital  stock of the
     surviving entity will be held by the same shareholders of the Company prior
     to such reclassification, consolidation or merger, (C) the sale or transfer
     of all  or  substantially  all  of the  assets  of  the  Company,  (D)  any
     compulsory  share exchange  pursuant to which the Common Stock is converted
     into other  securities,  cash or property,  (E) suspension  from listing or
     delisting  of the  Common  Stock from The New York  Stock  Exchange  or The
     Nasdaq  National  Market  for a period of five  consecutive  days,  (F) the
     Company's notice to any Holder, including by way of public announcement, at
     any time,  of its  intention,  for any  reason,  not to comply  with proper
     requests for conversion of any shares of Series G1 Preferred Stock into, or
     exercise of this 


                                       3


     Warrant for,  shares of Common Stock, or (G) a breach by the Company of any
     representation,  warranty,  covenant  or  other  term or  condition  of the
     Purchase Agreement,  the Registration Rights Agreement,  the Certificate of
     Designation  or  any  other  agreement,   document,  certificate  or  other
     instrument  delivered  in  connection  with the  transactions  contemplated
     thereby or hereby,  except to the extent that such breach  would not have a
     Material  Adverse  Effect (as  defined in  Section  2.1(a) of the  Purchase
     Agreement)  and  except,  in the case of a breach  of a  covenant  which is
     curable,  only if such breach  continues  for a period of at least ten days
     after the Company knows or reasonably should have known of the existence of
     such breach  (clauses  (A) through (G) above  referred to as a  "Redemption
     Event"),  the  holder of the  Warrant  shall have the right  thereafter  to
     convert  the  Warrant  only into the shares of stock and other  securities,
     cash and property receivable upon or deemed to be held by holders of Common
     Stock following such Redemption  Event, and the holder of the Warrant shall
     be entitled upon such event to receive such amount of  securities,  cash or
     property as the shares of the Common  Stock of the  Company  into which the
     Warrant  could have been  converted  immediately  prior to such  Redemption
     Event would have been entitled.

          (g) If:

          A.   the Company shall declare a dividend (or any other  distribution)
               on its Common Stock; or

          B.   the Company shall declare a special nonrecurring cash dividend on
               or a redemption of its Common Stock; or

          C.   the Company  shall  authorize  the granting to the holders of the
               Common Stock rights or warrants to subscribe  for or purchase any
               shares of capital stock of any class or of any rights; or

          D.   the approval of any shareholders of the Company shall be required
               in connection  with any  reclassification  of the Common Stock of
               the Company,  any consolidation or merger to which the Company is
               a party, any sale or transfer of all or substantially  all of the
               assets  of the  Company,  of any  compulsory  share  of  exchange
               whereby the Common Stock is converted into other securities, cash
               or property; or

          E.   the  Company  shall   authorize  the  voluntary  or   involuntary
               dissolution,  liquidation  or  winding  up of the  affairs of the
               Company;

     then  the  Company  shall  cause  to be  filed  at each  office  or  agency
     maintained  for the purpose of conversion of this Warrant,  and shall cause
     to be  mailed to the  holder of this  Warrant  at its  address  as it shall
     appear below,  at least 30 calendar days prior to the applicable  record or
     effective date hereinafter  specified, a notice (provided such notice shall
     not include any material  non-public  information)  stating (x) the date on
     which  a  record  is  to  be  taken  for  the  purpose  of  such  dividend,

                                       4


     distribution,  redemption,  rights or warrants, or if a record is not to be
     taken,  the date as of which the  holders  of Common  Stock of record to be
     entitled to such dividend,  distributions,  redemption,  rights or warrants
     are to be  determined  or (y) the  date  on  which  such  reclassification,
     consolidation,  merger,  sale,  transfer  or share  exchange is expected to
     become  effective  or close,  and the date as of which it is expected  that
     holders of Common  Stock of record  shall be  entitled  to  exchange  their
     shares of Common Stock for securities,  cash or other property  deliverable
     upon such reclassification,  consolidation, merger, sale, transfer or share
     exchange;  provided,  however,  that the failure to mail such notice or any
     defect  therein or in the mailing  thereof shall not affect the validity of
     the corporate action required to be specified in such notice.

          (h) Adjustment to Exercise Price. In order to prevent  dilution of the
     rights  granted under this Warrant,  the Exercise  Price will be subject to
     adjustment from time to time as provided in this Section 6(h).

               (i)  Adjustment of Exercise  Price upon Issuance of Common Stock.
          If and whenever on or after the Closing  Date,  the Company  issues or
          sells, or is deemed to have issued or sold, any shares of Common Stock
          (other than the Underlying Shares,  Warrant Shares or shares of Common
          Stock deemed to have been issued by the Company in connection  with an
          Approved Stock Plan (as defined below)) for a consideration  per share
          less  than the  Exercise  Price in  effect  immediately  prior to such
          issuance  or sale,  then  immediately  after such  issue or sale,  the
          Exercise  Price then in effect  shall be reduced to an amount equal to
          the  consideration per share of Common Stock of such issuance or sale.
          If and whenever on or after the Closing  Date,  the Company  issues or
          sells, or is deemed to have issued or sold, any shares of Common Stock
          (other than the Underlying  Shares,  Warrant Shares,  shares of Common
          Stock deemed to have been issued by the Company in connection  with an
          Approved  Stock  Plan (as  defined  below) or  shares of Common  Stock
          issued  or  deemed  to  have  been  issued  as  consideration  for  an
          acquisition  by the Company of a license or of a  division,  assets or
          business  (or stock  constituting  any portion  thereof)  from another
          person) for a  consideration  per share which is (A) greater  than the
          Exercise  Price in effect  immediately  prior to such issuance or sale
          and (B) less the  average of the Per Share  Market  Values on the five
          consecutive  trading  days  immediately  preceding  the  date  of such
          issuance or sale (the price in this  clause (B) is herein  referred to
          as "Market  Price"),  then  immediately  after such issue or sale, the
          Exercise  Price then in effect  shall be reduced to an amount equal to
          the product of (x) the Exercise Price in effect  immediately  prior to
          such issue or sale and (y) the quotient determined by dividing (1) the
          sum of (I) the  product of (A) the Market  Price and (B) the number of
          shares  of  Common  Stock  Deemed   Outstanding   (as  defined  below)
          immediately  prior to such issue or sale, and (II) the  consideration,
          if any,  received by the Company  upon such issue or sale,  by (2) the
          product  of (I) the  Market  Price  and (II) the  number  of shares of
          Common Stock Deemed  Outstanding (as defined below)  immediately after
          such issue or sale. For purposes of determining the adjusted  Exercise
          Price under this Section 6(h)(i), the following shall be applicable:

                    (A) Issuance of Options. If the Company in any manner grants
               any rights or  options to  subscribe  for or to  purchase  Common
               Stock  or any  stock  or  other  securities  convertible  into or
               exchangeable  for Common  Stock  (such  rights or  options  being
               herein called  "Options"  and such  convertible  or  exchangeable
               stock or securities being herein called "Convertible Securities")
               and the price per share for which Common  Stock is 


                                       5


               issuable upon the exercise of such Options or upon  conversion or
               exchange of such Convertible Securities is less than the Exercise
               Price in the case of the first  sentence of Section  6(h)(i),  or
               the Market  Price in the case of the second  sentence  of Section
               6(h)(i)  (collectively,  the "Applicable Price"),  then the total
               maximum  number  of  shares of  Common  Stock  issuable  upon the
               exercise of such  Options or upon  conversion  or exchange of the
               total maximum amount of such Convertible Securities issuable upon
               the  exercise of such Options  shall be deemed to be  outstanding
               and to have been  issued and sold by the  Company  for such price
               per share.  For purposes of this Section  6(h)(i)(A),  the "price
               per share for which  Common  Stock is issuable  upon  exercise of
               such Options or upon  conversion or exchange of such  Convertible
               Securities"  is determined  by dividing (I) the total amount,  if
               any,  received or receivable by the Company as consideration  for
               the granting of such Options,  plus the minimum  aggregate amount
               of  additional  consideration  payable  to the  Company  upon the
               exercise of all such  Options,  plus in the case of such  Options
               which relate to  Convertible  Securities,  the minimum  aggregate
               amount  of  additional  consideration,  if  any,  payable  to the
               Company upon the issuance or sale of such Convertible  Securities
               and the conversion or exchange thereof, by (II) the total maximum
               number of shares of Common Stock  issuable  upon exercise of such
               Options  or  upon  the   conversion   or  exchange  of  all  such
               Convertible   Securities  issuable  upon  the  exercise  of  such
               Options.  No adjustment of the Exercise  Price shall be made upon
               the actual  issuance of such Common Stock or of such  Convertible
               Securities  upon the  exercise of such Options or upon the actual
               issuance of such Common Stock upon conversion or exchange of such
               Convertible Securities.

                    (B) Issuance of  Convertible  Securities.  If the Company in
               any manner  issues or sells any  Convertible  Securities  and the
               price  per share for which  Common  Stock is  issuable  upon such
               conversion or exchange is less than the  Applicable  Price,  then
               the  maximum  number  of shares of  Common  Stock  issuable  upon
               conversion or exchange of such  Convertible  Securities  shall be
               deemed to be outstanding  and to have been issued and sold by the
               Company  for such  price  per  share.  For the  purposes  of this
               Section  6(h)(i)(B),  the "price per share for which Common Stock
               is issuable  upon such  conversion  or exchange" is determined by
               dividing  (I) the total  amount  received  or  receivable  by the
               Company  as   consideration   for  the  issue  or  sale  of  such
               Convertible  Securities,  plus the  minimum  aggregate  amount of
               additional consideration, if any, payable to the Company upon the
               conversion or exchange thereof,  by (II) the total maximum number
               of  shares  of  Common  Stock  issuable  upon the  conversion  or
               exchange of all such Convertible Securities. No adjustment of the
               Exercise Price shall be made upon the actual issue of such Common
               Stock upon conversion or exchange of such Convertible Securities,
               and if any such issue or sale of such  Convertible  Securities is
               made upon  exercise of any Options  for which  adjustment  of the
               Exercise  Price  had  been or are to be made  pursuant  to  other
               provisions of this Section 6(h)(i),  no further adjustment of the
               Exercise Price shall be made by reason of such issue or sale.

                    (C) Change in Option Price or Rate of  Conversion.  If there
               is a change at any time in (i) the purchase price provided for in
               any Options, (ii) the additional  consideration,  if any, payable
               upon  the  issue,  conversion  or  exchange  of  any  Convertible

                                       6


               Securities or (iii) the rate at which any Convertible  Securities
               are convertible into or exchangeable  for Common Stock,  then the
               Exercise  Price in  effect  at the time of such  change  shall be
               readjusted to the Exercise  Price which would have been in effect
               at such time had such  Options or  Convertible  Securities  still
               outstanding provided for such changed purchase price,  additional
               consideration or changed  conversion rate, as the case may be, at
               the time  initially  granted,  issued or sold;  provided  that no
               adjustment  shall be made if such  adjustment  would result in an
               increase of the Exercise Price then in effect.

                    (D) Certain  Definitions.  For purposes of  determining  the
               adjusted Exercise Price under this Section 6(h)(i), the following
               terms have meanings set forth below:

                         (I) "Approved Stock Plan" shall mean any contract, plan
                    or  agreement  which  has  been  approved  by the  Board  of
                    Directors  of the Company,  pursuant to which the  Company's
                    securities may be issued to any employee,  officer, director
                    or consultant.

                         (II) "Common Stock Deemed  Outstanding"  means,  at any
                    given time,  the number of shares of Common Stock issued and
                    outstanding  at such  time,  plus the  number  of  shares of
                    Common Stock deemed to be  outstanding  pursuant to Sections
                    6(h)(i)(A) and 6(h)(i)(B)  hereof  regardless of whether the
                    Options or Convertible  Securities are actually  exercisable
                    at such  time,  but  excluding  any  shares of Common  Stock
                    issuable  upon   conversion  of  the  shares  of  Series  G1
                    Preferred Stock or exercise of the Warrants.

                    (E) Effect on Exercise Price of Certain Events. For purposes
               of  determining  the adjusted  Exercise  Price under this Section
               6(h)(i), the following shall be applicable:

                         (I)  Calculation  of  Consideration  Received.  If  any
                    Common Stock,  Options or Convertible  Securities are issued
                    or sold or deemed to have been issued or sold for cash,  the
                    consideration received therefor will be deemed to be the net
                    amount received by the Company therefor.  In case any Common
                    Stock, Options or Convertible  Securities are issued or sold
                    for a  consideration  other  than  cash,  the  amount of the
                    consideration  other than cash  received by the Company will
                    be the fair value of such  consideration,  except where such
                    consideration  consists  of  securities,  in which  case the
                    amount of consideration  received by the Company will be the
                    arithmetic  average of the Per Share  Market  Values of such
                    security   for  the  five  (5)   consecutive   Trading  Days
                    immediately  preceding  the  date of  receipt.  In case  any
                    Common Stock,  Options or Convertible  Securities are issued
                    to the owners of the non-surviving entity in connection with
                    any merger in which the Company is the surviving  entity the
                    amount of  consideration  therefor  will be deemed to be the
                    fair value of such portion of the net assets and business of
                    the  non-surviving  entity as is attributable to such Common
                    Stock,  Options or Convertible  Securities,  as the case may
                    be. The fair value of any  consideration  other than cash or
                    securities will be determined jointly by the Company and the
                    Holders of a majority  of the shares of Series G1  Preferred
                    Stock then outstanding.  If such parties are unable to reach
                    agreement  within ten 


                                       7


                    (10)  days  after  the  occurrence  of  an  event  requiring
                    valuation (the  "Valuation  Event"),  the fair value of such
                    consideration  will be determined  within  forty-eight  (48)
                    hours of the tenth (10th) day following the Valuation  Event
                    by an  independent,  reputable  appraiser  selected  by  the
                    Company.  The  determination  of  such  appraiser  shall  be
                    binding upon all parties absent manifest error.

                         (II)  Integrated  Transactions.  In case any  Option is
                    issued  in  connection  with  the  issue  or sale  of  other
                    securities   of  the  Company,   together   comprising   one
                    integrated transaction in which no specific consideration is
                    allocated  to  such  Options  by the  parties  thereto,  the
                    Options  will be deemed to have been issued for an aggregate
                    consideration of $.01.

                         (III) Treasury  Shares.  The number of shares of Common
                    Stock  outstanding at any given time does not include shares
                    owned or held by or for the account of the Company,  and the
                    disposition   of  any  shares  so  owned  or  held  will  be
                    considered an issue or sale of Common Stock.

                         (IV) Record Date.  If the Company takes a record of the
                    holders of Common  Stock for the purpose of  entitling  them
                    (1) to receive a dividend or other  distribution  payable in
                    Common Stock, Options or in Convertible Securities or (2) to
                    subscribe  for  or  purchase   Common   Stock,   Options  or
                    Convertible Securities, then such record date will be deemed
                    to be the date of the issue or sale of the  shares of Common
                    Stock   deemed  to  have  been   issued  or  sold  upon  the
                    declaration  of such  dividend  or the  making of such other
                    distribution  or the date of the  granting  of such right of
                    subscription or purchase, as the case may be.

               (ii) Certain Events. If any event occurs of the type contemplated
          by the provisions of Section 6(h)(i) (subject to the exceptions stated
          therein) but not expressly provided for by such provisions (including,
          without limitation, the granting of stock appreciation rights, phantom
          stock rights or other rights with equity features), then the Company's
          Board of Directors will make an appropriate adjustment in the Exercise
          Price  so as to  protect  the  rights  of the  Registered  Holder,  or
          assigns, of this Warrant;  provided,  however, that no such adjustment
          will increase the Exercise Price as otherwise  determined  pursuant to
          this Section 6(h).

     7. Per Share Market Value.  Per Share Market Value means on any  particular
date (i) the closing bid price per share of the Common Stock on such date on the
New York Stock Exchange or other registered national stock exchange on which the
Common Stock is then listed or if there is no such price on such date,  then the
closing  bid price on such  exchange  or  quotation  system on the date  nearest
preceding  such date,  or (ii) if the Common Stock is not listed then on the New
York Stock Exchange or any registered  national stock exchange,  the closing bid
price for a share of Common Stock in the over-the-counter market, as reported by
the New York Stock Exchange or in the National Quotation Bureau Incorporated (or
similar  organization or agency succeeding to its functions of reporting prices)
at the close of business on such date,  or (iii) if the Common Stock is not then
publicly  traded the fair market value of a share of Common Stock as  determined
by an Appraiser selected in good faith by the holder of this Warrant;  provided,
however, that the Company, after receipt of the determination by such Appraiser,
shall have the


                                       8


right to select an additional  Appraiser,  in which case,  the fair market value
shall be equal to the average of the determinations by each such Appraiser;  and
provided, further that all determinations of the Per Share Market Value shall be
appropriately  adjusted for any stock  dividends,  stock splits or other similar
transactions during such period.

     8. Registration  Rights. The Company will undertake the registration of the
Common  Stock into which such  Warrants are  convertible  at such times and upon
such terms pursuant to the provisions of the Registration Rights Agreement dated
September  17, 1998 by and among the Company,  Brown  Simpson  Strategic  Growth
Fund,  L.P., Brown Simpson  Strategic Growth Fund, Ltd.,  Heracles Fund Ltd. and
Themis Partners, L.P.

     9. Notices. All notices or other communications required hereunder shall be
in writing and shall be sent either (i) by courier,  or (ii) by telecopy as well
as by registered or certified  mail,  and shall be regarded as properly given in
the case of a courier upon actual  delivery to the proper  place of address;  in
the case of telecopy,  on the day following the date of transmission if properly
addressed and sent without  transmission error to the correct number and receipt
is confirmed by telephone within 48 hours of the transmission;  in the case of a
letter for which a telecopy could not be successfully  transmitted or receipt of
which could not be confirmed as herein provided, three days after the registered
or  certified  mailing  date if the letter is  properly  addressed  and  postage
prepaid;  and shall be regarded as properly  addressed if sent to the parties or
their representatives at the addresses given below:

         To the Company:           Signal Apparel Company, Inc.
                                   200A Manufacturers Road
                                   Chattanooga, Tennessee  37405
                                   Attn:  President & General Counsel
                                   Phone:  (423) 756-8146
                                   Fax:  (423) 752-2040

         To the Holder:            Themis Partners, L.P.
                                   c/o Promethean Investment Group
                                   40 W. 57th Street, Suite 1520
                                   New York, NY  10019
                                   Attn:  Jamie O'Brien
                                   Tel: (212) 698-0588
                                   Fax: (212) 698-0505

or such  other  address  as any of the  above  may have  furnished  to the other
parties in writing by registered mail, return receipt requested.



                            [signature page follows]



                                       9



         IN WITNESS WHEREOF,  the Company has caused this Warrant to be executed
by its duly authorized officer as of the date first set forth above.

                                  SIGNAL APPAREL COMPANY, INC.


                                         
                                  By:    /s/ John W. Prutch
                                         -----------------------------
                                  Name:  John W. Prutch
                                  Title:  President





                                       10





                                    EXHIBIT A

                              Warrant Exercise Form

TO:  SIGNAL APPAREL COMPANY, INC.

     The  undersigned  hereby:  (1)  irrevocably  subscribes  for and  offers to
purchase  _______  shares  of  Common  Stock of Signal  Apparel  Company,  Inc.,
pursuant  to  Warrant  No.  G1  heretofore  issued  to   ___________________  on
____________,  1998; (2) encloses a payment of $__________ for these shares at a
price  of $____  per  share  (as  adjusted  pursuant  to the  provisions  of the
Warrant);  and (3) requests that a  certificate  for the shares be issued in the
name  of the  undersigned  and  delivered  to  the  undersigned  at the  address
specified below.


    Date:  ____________________________________________________


    Investor Name:  ___________________________________________

    Taxpayer Identification
    Number: ___________________________________________________


    By:  ______________________________________________________

    Printed Name:  ____________________________________________

    Title: ____________________________________________________

    Address: __________________________________________________


    Note:    The above signature  should  correspond  exactly with
             the name on the face of this Warrant  Certificate  or
             with the name of  assignee  appearing  in  assignment
             form below.


AND, if said number of shares shall not be all the shares  purchasable under the
within  Warrant,  a new Warrant  Certificate is to be issued in the name of said
undersigned for the balance remaining of the shares purchasable  thereunder less
any fraction of a share paid in cash and delivered to the address stated above.



                                       11



         THIS WARRANT AND ANY SHARES  ACQUIRED UPON THE EXERCISE OF THIS WARRANT
         HAVE NOT BEEN REGISTERED  UNDER THE SECURITIES ACT OF 1933 OR UNDER ANY
         STATE SECURITIES OR BLUE SKY LAWS. NEITHER THIS WARRANT NOR ANY OF SUCH
         SHARES  MAY  BE  OFFERED,  SOLD,  ASSIGNED,  TRANSFERRED  OR  OTHERWISE
         DISPOSED  OF IN THE  ABSENCE OF  REGISTRATION  UNDER SAID ACT AND UNDER
         APPLICABLE  STATE  SECURITIES OR BLUE SKY LAWS OR EXEMPTIONS  FROM SUCH
         REGISTRATION


37,500                                                          Warrant No. G1-4



                          SIGNAL APPAREL COMPANY, INC.
                             STOCK PURCHASE WARRANT



Registered Owner:  Heracles Fund Ltd.

     This certifies that, for value received,  Signal Apparel Company,  Inc., an
Indiana  corporation,  the  ("Company")  grants  the  following  rights  to  the
Registered Owner, or assigns, of this Warrant:

     1. Issue. Upon tender (as defined in section 5 hereof) to the Company,  the
Company shall issue to the  Registered  Owner,  or assigns,  up to the number of
shares specified in paragraph 2 hereof of fully paid and nonassessable shares of
Common Stock that the Registered  Owner,  or assigns,  is otherwise  entitled to
purchase.

     2. Number of Shares.  The total  number of shares of Common  Stock that the
Registered  Owner,  or assigns,  of this  Warrant is  entitled  to receive  upon
exercise of this Warrant is 37,500  shares,  subject to adjustment  from time to
time as set forth in paragraph 6 below.  The Company  shall at all times reserve
and hold available  sufficient  shares of Common Stock to satisfy all conversion
and purchase rights represented by outstanding convertible  securities,  options
and warrants,  including this Warrant. The Company covenants and agrees that all
shares of Common  Stock that may be issued  upon the  exercise  of this  Warrant
shall, upon issuance,  be duly and validly issued, fully paid and nonassessable,
and free from all taxes,  liens and charges with respect to the purchase and the
issuance of the shares.

     3. Exercise Price.  The exercise price of this Warrant,  the price at which
the shares of stock  purchasable upon exercise of this Warrant may be purchased,
is  125%  of  the  Fixed  Strike  Price  (as  defined  in  the   Certificate  of
Designation), subject to adjustment from time to time pursuant to the provisions
of paragraph 6 below (the "Exercise Price").

     4.  Exercise  Period.  This  Warrant  may only be  exercised  beginning  on
September 17, 1998 and up to and  including  September 17, 2003 five years after
the date of the Warrant, 


                                       


less one day. If not exercised  during this period,  this Warrant and all rights
granted under this Warrant shall expire and lapse.

     5. Tender.  This Warrant may be  exercised,  in whole or in part, by actual
delivery  of (i) the  Exercise  Price  in  cash,  (ii) a duly  executed  Warrant
Exercise  Form,  a copy of which is  attached  to this  Warrant  as  Exhibit  A,
properly  executed by the Registered  Owner,  or assigns,  of this Warrant,  and
(iii) by surrender of this Warrant.  The payment and Warrant  Exercise Form must
be delivered,  personally or by mail, to the  registered  office of the Company.
Documents sent by mail shall be deemed to be delivered when they are received by
the Company.

     6. Adjustment of Exercise Price.

          (a) If the Company, at any time while this Warrant is outstanding, (a)
     shall pay a stock dividend on its Common Stock,  (b) subdivide  outstanding
     shares  of  Common  Stock  into a larger  number  of  shares,  (c)  combine
     outstanding  shares of Common Stock into a smaller number of shares, or (d)
     issue by  reclassification  of shares of Common Stock any shares of capital
     stock of the Company,  the Exercise Price shall be multiplied by a fraction
     the  numerator  of which  shall be the  number of  shares  of Common  Stock
     (excluding  treasury shares, if any) outstanding  before such event and the
     denominator  of  which  shall be the  number  of  shares  of  Common  Stock
     outstanding  after  such  event.  Any  adjustment  made  pursuant  to  this
     paragraph (6)(a) shall become effective  immediately  after the record date
     for the determination of shareholders  entitled to receive such dividend or
     distribution  and shall become  effective  immediately  after the effective
     date in the case of a subdivision, combination or re-classification.

          (b) If the  Company,  at any time while this  Warrant is  outstanding,
     shall  issue  rights or  warrants  to all of the  holders  of Common  Stock
     entitling  them to  subscribe  for or purchase  shares of Common Stock at a
     price per share less than the Per Share Market Value (as defined  below) of
     Common Stock at the record date mentioned  below,  the Exercise Price shall
     be multiplied by a fraction,  the  denominator of which shall be the number
     of shares of Common Stock (excluding  treasury shares,  if any) outstanding
     on the date of  issuance  of such  rights or  warrants  plus the  number of
     additional shares of Common Stock offered for subscription or purchase, and
     the  numerator  of which  shall be the  number of  shares  of Common  Stock
     (excluding  treasury shares, if any) outstanding on the date of issuance of
     such  rights or  warrants  plus the  number of shares  which the  aggregate
     offering  price of the total number of shares so offered would  purchase at
     such Per Share Market Value.  Such  adjustment  shall be made whenever such
     rights or warrants are issued, and shall become effective immediately after
     the record date for the  determination of shareholders  entitled to receive
     such  rights or  warrants.  However,  upon the  expiration  of any right or
     warrant to  purchase  Common  Stock the  issuance  of which  resulted in an
     adjustment in the Exercise Price pursuant to this paragraph  (6)(b), if any
     such right or warrant shall expire and all or any portion thereof shall not
     have  been  exercised,  the  Exercise  Price  shall  immediately  upon such
     expiration be re-computed and effective immediately upon such expiration be
     increased to the price which it would have been (but  reflecting  any other
     adjustments  in the  Exercise  Price made  pursuant  to the  provisions  of
     section  (f)  after  the  issuance  of such  rights  or  warrants)  had the
     adjustment  of the Exercise  Price made upon the issuance of such rights or
     warrants  been made on the basis of offering for  subscription  or purchase
     only that


                                       2


     number  of shares of Common  Stock  (if any)  actually  purchased  upon the
     exercise of such rights or warrants actually exercised.

          (c) If the  Company,  at any time while this  Warrant is  outstanding,
     shall  distribute  to all of the holders of Common  Stock  evidences of its
     indebtedness  or assets or rights or warrants to subscribe  for or purchase
     any  security  (excluding  those  referred  to in  paragraphs  6(a) and (b)
     above),  then in each such  case the  Exercise  Price at which the  Warrant
     shall  thereafter be  convertible  shall be determined by  multiplying  the
     Exercise  Price in effect  immediately  prior to the record  date fixed for
     determination  of shareholders  entitled to receive such  distribution by a
     fraction  the  denominator  of which shall be the Per Share Market Value of
     Common Stock  determined  as of the record date  mentioned  above,  and the
     numerator of which shall be such Per Share Market Value of the Common Stock
     on such record date less the then fair market  value at such record date of
     the  portion of such  assets or evidence  of  indebtedness  so  distributed
     applicable  to one  outstanding  share of Common Stock as determined by the
     Board of Directors in good faith; provided, however, that in the event of a
     distribution  exceeding ten percent of the net assets of the Company,  such
     fair market value shall be determined  by a nationally  recognized or major
     regional  investment  banking firm or firm of independent  certified public
     accountants of recognized standing (an "Appraiser")  selected in good faith
     by the holder of the  Warrant;  and  provided,  further,  that the Company,
     after receipt of the  determination  by such Appraiser shall have the right
     to select an additional Appraiser meeting the same qualifications,  in good
     faith, in which case the fair market value shall be equal to the average of
     the  determinations  by each such Appraiser.  Such adjustment shall be made
     whenever  any  such   distribution  is  made  and  shall  become  effective
     immediately after the record date mentioned above.

          (d) All calculations under this section 6 shall be made to the nearest
     cent or the nearest l/l00th of a share, as the case may be.

          (e)  Whenever the Exercise  Price is adjusted  pursuant to  paragraphs
     6(a),  (b) or (c),  the Company  shall  promptly  mail to the holder of the
     Warrant,  a notice setting forth the Exercise  Price after such  adjustment
     and setting forth a brief statement of the facts requiring such adjustment.

          (f) In case of (A) any  reclassification  of the Common Stock, (B) any
     consolidation or merger of the Company with or into another person pursuant
     to which  (i) a  majority  of the  Company's  Board of  Directors  will not
     constitute a majority of the board of directors of the surviving  entity or
     (ii) less than 51% of the  outstanding  shares of the capital  stock of the
     surviving entity will be held by the same shareholders of the Company prior
     to such reclassification, consolidation or merger, (C) the sale or transfer
     of all  or  substantially  all  of the  assets  of  the  Company,  (D)  any
     compulsory  share exchange  pursuant to which the Common Stock is converted
     into other  securities,  cash or property,  (E) suspension  from listing or
     delisting  of the  Common  Stock from The New York  Stock  Exchange  or The
     Nasdaq  National  Market  for a period of five  consecutive  days,  (F) the
     Company's notice to any Holder, including by way of public announcement, at
     any time,  of its  intention,  for any  reason,  not to comply  with proper
     requests for conversion of any shares of Series G1 Preferred Stock into, or
     exercise of this 


                                       3


     Warrant for,  shares of Common Stock, or (G) a breach by the Company of any
     representation,  warranty,  covenant  or  other  term or  condition  of the
     Purchase Agreement,  the Registration Rights Agreement,  the Certificate of
     Designation  or  any  other  agreement,   document,  certificate  or  other
     instrument  delivered  in  connection  with the  transactions  contemplated
     thereby or hereby,  except to the extent that such breach  would not have a
     Material  Adverse  Effect (as  defined in  Section  2.1(a) of the  Purchase
     Agreement)  and  except,  in the case of a breach  of a  covenant  which is
     curable,  only if such breach  continues  for a period of at least ten days
     after the Company knows or reasonably should have known of the existence of
     such breach  (clauses  (A) through (G) above  referred to as a  "Redemption
     Event"),  the  holder of the  Warrant  shall have the right  thereafter  to
     convert  the  Warrant  only into the shares of stock and other  securities,
     cash and property receivable upon or deemed to be held by holders of Common
     Stock following such Redemption  Event, and the holder of the Warrant shall
     be entitled upon such event to receive such amount of  securities,  cash or
     property as the shares of the Common  Stock of the  Company  into which the
     Warrant  could have been  converted  immediately  prior to such  Redemption
     Event would have been entitled.

          (g) If:

          A.   the Company shall declare a dividend (or any other  distribution)
               on its Common Stock; or

          B.   the Company shall declare a special nonrecurring cash dividend on
               or a redemption of its Common Stock; or

          C.   the Company  shall  authorize  the granting to the holders of the
               Common Stock rights or warrants to subscribe  for or purchase any
               shares of capital stock of any class or of any rights; or

          D.   the approval of any shareholders of the Company shall be required
               in connection  with any  reclassification  of the Common Stock of
               the Company,  any consolidation or merger to which the Company is
               a party, any sale or transfer of all or substantially  all of the
               assets  of the  Company,  of any  compulsory  share  of  exchange
               whereby the Common Stock is converted into other securities, cash
               or property; or

          E.   the  Company  shall   authorize  the  voluntary  or   involuntary
               dissolution,  liquidation  or  winding  up of the  affairs of the
               Company;

     then  the  Company  shall  cause  to be  filed  at each  office  or  agency
     maintained  for the purpose of conversion of this Warrant,  and shall cause
     to be  mailed to the  holder of this  Warrant  at its  address  as it shall
     appear below,  at least 30 calendar days prior to the applicable  record or
     effective date hereinafter  specified, a notice (provided such notice shall
     not include any material  non-public  information)  stating (x) the date on
     which  a  record  is  to  be  taken  for  the  purpose  of  such  dividend,
     distribution,  redemption,  rights or warrants, or if a record is not to be
     taken,  the date as of which the  holders  of Common  Stock of record to be
     entitled to such dividend, 


                                       4


     distributions,  redemption,  rights or warrants are to be determined or (y)
     the date on  which  such  reclassification,  consolidation,  merger,  sale,
     transfer or share  exchange is expected to become  effective or close,  and
     the date as of which it is expected  that holders of Common Stock of record
     shall be entitled to exchange their shares of Common Stock for  securities,
     cash  or   other   property   deliverable   upon   such   reclassification,
     consolidation, merger, sale, transfer or share exchange; provided, however,
     that the  failure  to mail such  notice  or any  defect  therein  or in the
     mailing  thereof  shall not affect the  validity  of the  corporate  action
     required to be specified in such notice.

          (h) Adjustment to Exercise Price. In order to prevent  dilution of the
     rights  granted under this Warrant,  the Exercise  Price will be subject to
     adjustment from time to time as provided in this Section 6(h).

               (i)  Adjustment of Exercise  Price upon Issuance of Common Stock.
          If and whenever on or after the Closing  Date,  the Company  issues or
          sells, or is deemed to have issued or sold, any shares of Common Stock
          (other than the Underlying Shares,  Warrant Shares or shares of Common
          Stock deemed to have been issued by the Company in connection  with an
          Approved Stock Plan (as defined below)) for a consideration  per share
          less  than the  Exercise  Price in  effect  immediately  prior to such
          issuance  or sale,  then  immediately  after such  issue or sale,  the
          Exercise  Price then in effect  shall be reduced to an amount equal to
          the  consideration per share of Common Stock of such issuance or sale.
          If and whenever on or after the Closing  Date,  the Company  issues or
          sells, or is deemed to have issued or sold, any shares of Common Stock
          (other than the Underlying  Shares,  Warrant Shares,  shares of Common
          Stock deemed to have been issued by the Company in connection  with an
          Approved  Stock  Plan (as  defined  below) or  shares of Common  Stock
          issued  or  deemed  to  have  been  issued  as  consideration  for  an
          acquisition  by the Company of a license or of a  division,  assets or
          business  (or stock  constituting  any portion  thereof)  from another
          person) for a  consideration  per share which is (A) greater  than the
          Exercise  Price in effect  immediately  prior to such issuance or sale
          and (B) less the  average of the Per Share  Market  Values on the five
          consecutive  trading  days  immediately  preceding  the  date  of such
          issuance or sale (the price in this  clause (B) is herein  referred to
          as "Market  Price"),  then  immediately  after such issue or sale, the
          Exercise  Price then in effect  shall be reduced to an amount equal to
          the product of (x) the Exercise Price in effect  immediately  prior to
          such issue or sale and (y) the quotient determined by dividing (1) the
          sum of (I) the  product of (A) the Market  Price and (B) the number of
          shares  of  Common  Stock  Deemed   Outstanding   (as  defined  below)
          immediately  prior to such issue or sale, and (II) the  consideration,
          if any,  received by the Company  upon such issue or sale,  by (2) the
          product  of (I) the  Market  Price  and (II) the  number  of shares of
          Common Stock Deemed  Outstanding (as defined below)  immediately after
          such issue or sale. For purposes of determining the adjusted  Exercise
          Price under this Section 6(h)(i), the following shall be applicable:

                    (A) Issuance of Options. If the Company in any manner grants
               any rights or  options to  subscribe  for or to  purchase  Common
               Stock  or any  stock  or  other  securities  convertible  into or
               exchangeable  for Common  Stock  (such  rights or  options  being
               herein called  "Options"  and such  convertible  or  exchangeable
               stock or securities being herein called "Convertible Securities")
               and the price per share for which Common  Stock is


                                       5


               issuable upon the exercise of such Options or upon  conversion or
               exchange of such Convertible Securities is less than the Exercise
               Price in the case of the first  sentence of Section  6(h)(i),  or
               the Market  Price in the case of the second  sentence  of Section
               6(h)(i)  (collectively,  the "Applicable Price"),  then the total
               maximum  number  of  shares of  Common  Stock  issuable  upon the
               exercise of such  Options or upon  conversion  or exchange of the
               total maximum amount of such Convertible Securities issuable upon
               the  exercise of such Options  shall be deemed to be  outstanding
               and to have been  issued and sold by the  Company  for such price
               per share.  For purposes of this Section  6(h)(i)(A),  the "price
               per share for which  Common  Stock is issuable  upon  exercise of
               such Options or upon  conversion or exchange of such  Convertible
               Securities"  is determined  by dividing (I) the total amount,  if
               any,  received or receivable by the Company as consideration  for
               the granting of such Options,  plus the minimum  aggregate amount
               of  additional  consideration  payable  to the  Company  upon the
               exercise of all such  Options,  plus in the case of such  Options
               which relate to  Convertible  Securities,  the minimum  aggregate
               amount  of  additional  consideration,  if  any,  payable  to the
               Company upon the issuance or sale of such Convertible  Securities
               and the conversion or exchange thereof, by (II) the total maximum
               number of shares of Common Stock  issuable  upon exercise of such
               Options  or  upon  the   conversion   or  exchange  of  all  such
               Convertible   Securities  issuable  upon  the  exercise  of  such
               Options.  No adjustment of the Exercise  Price shall be made upon
               the actual  issuance of such Common Stock or of such  Convertible
               Securities  upon the  exercise of such Options or upon the actual
               issuance of such Common Stock upon conversion or exchange of such
               Convertible Securities.

                    (B) Issuance of  Convertible  Securities.  If the Company in
               any manner  issues or sells any  Convertible  Securities  and the
               price  per share for which  Common  Stock is  issuable  upon such
               conversion or exchange is less than the  Applicable  Price,  then
               the  maximum  number  of shares of  Common  Stock  issuable  upon
               conversion or exchange of such  Convertible  Securities  shall be
               deemed to be outstanding  and to have been issued and sold by the
               Company  for such  price  per  share.  For the  purposes  of this
               Section  6(h)(i)(B),  the "price per share for which Common Stock
               is issuable  upon such  conversion  or exchange" is determined by
               dividing  (I) the total  amount  received  or  receivable  by the
               Company  as   consideration   for  the  issue  or  sale  of  such
               Convertible  Securities,  plus the  minimum  aggregate  amount of
               additional consideration, if any, payable to the Company upon the
               conversion or exchange thereof,  by (II) the total maximum number
               of  shares  of  Common  Stock  issuable  upon the  conversion  or
               exchange of all such Convertible Securities. No adjustment of the
               Exercise Price shall be made upon the actual issue of such Common
               Stock upon conversion or exchange of such Convertible Securities,
               and if any such issue or sale of such  Convertible  Securities is
               made upon  exercise of any Options  for which  adjustment  of the
               Exercise  Price  had  been or are to be made  pursuant  to  other
               provisions of this Section 6(h)(i),  no further adjustment of the
               Exercise Price shall be made by reason of such issue or sale.

                    (C) Change in Option Price or Rate of  Conversion.  If there
               is a change at any time in (i) the purchase price provided for in
               any Options, (ii) the additional  consideration,  if any, payable
               upon  the  issue,  conversion  or  exchange  of  any  Convertible

                                       6


               Securities or (iii) the rate at which any Convertible  Securities
               are convertible into or exchangeable  for Common Stock,  then the
               Exercise  Price in  effect  at the time of such  change  shall be
               readjusted to the Exercise  Price which would have been in effect
               at such time had such  Options or  Convertible  Securities  still
               outstanding provided for such changed purchase price,  additional
               consideration or changed  conversion rate, as the case may be, at
               the time  initially  granted,  issued or sold;  provided  that no
               adjustment  shall be made if such  adjustment  would result in an
               increase of the Exercise Price then in effect.

                    (D) Certain  Definitions.  For purposes of  determining  the
               adjusted Exercise Price under this Section 6(h)(i), the following
               terms have meanings set forth below:

                         (I) "Approved Stock Plan" shall mean any contract, plan
                    or  agreement  which  has  been  approved  by the  Board  of
                    Directors  of the Company,  pursuant to which the  Company's
                    securities may be issued to any employee,  officer, director
                    or consultant.

                         (II) "Common Stock Deemed  Outstanding"  means,  at any
                    given time,  the number of shares of Common Stock issued and
                    outstanding  at such  time,  plus the  number  of  shares of
                    Common Stock deemed to be  outstanding  pursuant to Sections
                    6(h)(i)(A) and 6(h)(i)(B)  hereof  regardless of whether the
                    Options or Convertible  Securities are actually  exercisable
                    at such  time,  but  excluding  any  shares of Common  Stock
                    issuable  upon   conversion  of  the  shares  of  Series  G1
                    Preferred Stock or exercise of the Warrants.

                    (E) Effect on Exercise Price of Certain Events. For purposes
               of  determining  the adjusted  Exercise  Price under this Section
               6(h)(i), the following shall be applicable:

                         (I)  Calculation  of  Consideration  Received.  If  any
                    Common Stock,  Options or Convertible  Securities are issued
                    or sold or deemed to have been issued or sold for cash,  the
                    consideration received therefor will be deemed to be the net
                    amount received by the Company therefor.  In case any Common
                    Stock, Options or Convertible  Securities are issued or sold
                    for a  consideration  other  than  cash,  the  amount of the
                    consideration  other than cash  received by the Company will
                    be the fair value of such  consideration,  except where such
                    consideration  consists  of  securities,  in which  case the
                    amount of consideration  received by the Company will be the
                    arithmetic  average of the Per Share  Market  Values of such
                    security   for  the  five  (5)   consecutive   Trading  Days
                    immediately  preceding  the  date of  receipt.  In case  any
                    Common Stock,  Options or Convertible  Securities are issued
                    to the owners of the non-surviving entity in connection with
                    any merger in which the Company is the surviving  entity the
                    amount of  consideration  therefor  will be deemed to be the
                    fair value of such portion of the net assets and business of
                    the  non-surviving  entity as is attributable to such Common
                    Stock,  Options or Convertible  Securities,  as the case may
                    be. The fair value of any  consideration  other than cash or
                    securities will be determined jointly by the Company and the
                    Holders of a majority  of the shares of Series G1  Preferred
                    Stock then outstanding.  If such parties are unable to reach
                    agreement  within ten


                                       7


                    (10)  days  after  the  occurrence  of  an  event  requiring
                    valuation (the  "Valuation  Event"),  the fair value of such
                    consideration  will be determined  within  forty-eight  (48)
                    hours of the tenth (10th) day following the Valuation  Event
                    by an  independent,  reputable  appraiser  selected  by  the
                    Company.  The  determination  of  such  appraiser  shall  be
                    binding upon all parties absent manifest error.

                         (II)  Integrated  Transactions.  In case any  Option is
                    issued  in  connection  with  the  issue  or sale  of  other
                    securities   of  the  Company,   together   comprising   one
                    integrated transaction in which no specific consideration is
                    allocated  to  such  Options  by the  parties  thereto,  the
                    Options  will be deemed to have been issued for an aggregate
                    consideration of $.01.

                         (III) Treasury  Shares.  The number of shares of Common
                    Stock  outstanding at any given time does not include shares
                    owned or held by or for the account of the Company,  and the
                    disposition   of  any  shares  so  owned  or  held  will  be
                    considered an issue or sale of Common Stock.

                         (IV) Record Date.  If the Company takes a record of the
                    holders of Common  Stock for the purpose of  entitling  them
                    (1) to receive a dividend or other  distribution  payable in
                    Common Stock, Options or in Convertible Securities or (2) to
                    subscribe  for  or  purchase   Common   Stock,   Options  or
                    Convertible Securities, then such record date will be deemed
                    to be the date of the issue or sale of the  shares of Common
                    Stock   deemed  to  have  been   issued  or  sold  upon  the
                    declaration  of such  dividend  or the  making of such other
                    distribution  or the date of the  granting  of such right of
                    subscription or purchase, as the case may be.

               (ii) Certain Events. If any event occurs of the type contemplated
          by the provisions of Section 6(h)(i) (subject to the exceptions stated
          therein) but not expressly provided for by such provisions (including,
          without limitation, the granting of stock appreciation rights, phantom
          stock rights or other rights with equity features), then the Company's
          Board of Directors will make an appropriate adjustment in the Exercise
          Price  so as to  protect  the  rights  of the  Registered  Holder,  or
          assigns, of this Warrant;  provided,  however, that no such adjustment
          will increase the Exercise Price as otherwise  determined  pursuant to
          this Section 6(h).

     7. Per Share Market Value.  Per Share Market Value means on any  particular
date (i) the closing bid price per share of the Common Stock on such date on the
New York Stock Exchange or other registered national stock exchange on which the
Common Stock is then listed or if there is no such price on such date,  then the
closing  bid price on such  exchange  or  quotation  system on the date  nearest
preceding  such date,  or (ii) if the Common Stock is not listed then on the New
York Stock Exchange or any registered  national stock exchange,  the closing bid
price for a share of Common Stock in the over-the-counter market, as reported by
the New York Stock Exchange or in the National Quotation Bureau Incorporated (or
similar  organization or agency succeeding to its functions of reporting prices)
at the close of business on such date,  or (iii) if the Common Stock is not then
publicly  traded the fair market value of a share of Common Stock as  determined
by an Appraiser selected in good faith by the holder of this Warrant;  provided,
however, that the Company, after receipt of the determination by such Appraiser,
shall have


                                       8


the right to select an  additional  Appraiser,  in which  case,  the fair market
value  shall  be  equal  to the  average  of the  determinations  by  each  such
Appraiser; and provided, further that all determinations of the Per Share Market
Value shall be appropriately  adjusted for any stock dividends,  stock splits or
other similar transactions during such period.

     8. Registration  Rights. The Company will undertake the registration of the
Common  Stock into which such  Warrants are  convertible  at such times and upon
such terms pursuant to the provisions of the Registration Rights Agreement dated
September  17, 1998 by and among the Company,  Brown  Simpson  Strategic  Growth
Fund,  L.P., Brown Simpson  Strategic Growth Fund, Ltd.,  Heracles Fund Ltd. and
Themis Partners, L.P.

     9. Notices. All notices or other communications required hereunder shall be
in writing and shall be sent either (i) by courier,  or (ii) by telecopy as well
as by registered or certified  mail,  and shall be regarded as properly given in
the case of a courier upon actual  delivery to the proper  place of address;  in
the case of telecopy,  on the day following the date of transmission if properly
addressed and sent without  transmission error to the correct number and receipt
is confirmed by telephone within 48 hours of the transmission;  in the case of a
letter for which a telecopy could not be successfully  transmitted or receipt of
which could not be confirmed as herein provided, three days after the registered
or  certified  mailing  date if the letter is  properly  addressed  and  postage
prepaid;  and shall be regarded as properly  addressed if sent to the parties or
their representatives at the addresses given below:

           To the Company:           Signal Apparel Company, Inc.
                                     200A Manufacturers Road
                                     Chattanooga, Tennessee  37405
                                     Attn:  President & General Counsel
                                     Phone:  (423) 756-8146
                                     Fax:  (423) 752-2040

           To the Holder:            Heracles Fund Ltd.
                                     c/o Promethean Investment Group
                                     40 W. 57th Street, Suite 1520
                                     New York, NY  10019
                                     Attn:  Jamie O'Brien
                                     Tel: (212) 698-0588
                                     Fax: (212) 698-0505

or such  other  address  as any of the  above  may have  furnished  to the other
parties in writing by registered mail, return receipt requested.



                            [signature page follows]



                                       9



     IN WITNESS  WHEREOF,  the Company has caused this Warrant to be executed by
its duly authorized officer as of the date first set forth above.

                                  SIGNAL APPAREL COMPANY, INC.


                                        
                                  By:    /s/ John W. Prutch
                                         ---------------------------
                                  Name:  John W. Prutch
                                  Title:  President







                                       10







                                    EXHIBIT A

                              Warrant Exercise Form

TO:  SIGNAL APPAREL COMPANY, INC.

     The  undersigned  hereby:  (1)  irrevocably  subscribes  for and  offers to
purchase  _______  shares  of  Common  Stock of Signal  Apparel  Company,  Inc.,
pursuant  to  Warrant  No.  G1  heretofore  issued  to   ___________________  on
____________,  1998; (2) encloses a payment of $__________ for these shares at a
price  of $____  per  share  (as  adjusted  pursuant  to the  provisions  of the
Warrant);  and (3) requests that a  certificate  for the shares be issued in the
name  of the  undersigned  and  delivered  to  the  undersigned  at the  address
specified below.


    Date:  ____________________________________________________


    Investor Name:  ___________________________________________

    Taxpayer Identification
    Number: ___________________________________________________


    By:  ______________________________________________________

    Printed Name:  ____________________________________________

    Title: ____________________________________________________

    Address: __________________________________________________


    Note:    The above signature  should  correspond  exactly with
             the name on the face of this Warrant  Certificate  or
             with the name of  assignee  appearing  in  assignment
             form below.


AND, if said number of shares shall not be all the shares  purchasable under the
within  Warrant,  a new Warrant  Certificate is to be issued in the name of said
undersigned for the balance remaining of the shares purchasable  thereunder less
any fraction of a share paid in cash and delivered to the address stated above.




                                       11