Warrant to Purchase 3,000,000 shares of the Common Stock of



ACCELR8 TECHNOLOGY CORPORATION.

     This is to certify  that,  for value  received,  Thomas V.  Geimer,  or his
assigns ("Holder"),  is entitled to purchase,  subject to the provisions of this
Warrant,   from  Accelr8   Technology   Corporation,   a  Colorado   corporation
("Company"),  up to 3,000,000  shares of the Company's no par value Common Stock
("Stock"),  at a purchase price of $.06 per share during the period this Warrant
is exercisable.

     The  number of shares of Stock to be  received  upon the  exercise  of this
Warrant  and  the  price  to be  paid  for a  share  of  Stock  may be  adjusted
periodically as hereinafter set forth. The shares of Stock deliverable upon such
exercise,  and as adjusted periodically are hereinafter sometimes referred to as
"Warrant Stock" and the purchase price of a share of Stock in effect at any time
and as  adjusted  periodically,  is  hereinafter  sometimes  referred  to as the
"Exercise  Price." The term  "Warrant" as used herein shall include this Warrant
and any Warrant issued in  substitution  for or replacement of this Warrant,  or
into which this Warrant may be divided or exchanged.

     (a) EXERCISE OF WARRANT.  Subject to the  provisions of Section (j) hereof,
this Warrant may be exercised in whole or in part commencing on October 25, 1990
and  terminating  at the close of business on December 31, 1997, or if that date
is a legal holiday or otherwise not a business day, then on the next  succeeding
business day,  "Exercise  Period," by presentation and surrender of this Warrant
to the Company or at the office of its Warrant  Agent,  if any, with the Warrant
Subscription Form annexed hereto duly executed and accompanied by payment of the
Exercise  Price for the number of shares  specified in such form,  together with
all federal and state taxes, if any, applicable upon such exercise.

     If this Warrant  should be exercised in part only,  the right of the Holder
to  purchase  the  balance  of the  shares  purchasable  hereunder  on the terms
specified  herein shall  terminate as of the end of the  Exercise  Period.  Upon
receipt  by the  Company of this  Warrant  at the  office of the  Company or its
Warrant Agent, in proper form for exercise, the Holder shall be deemed to be the
holder  of  record  of  the  shares  of  Stock   issuable  upon  such  exercise,
notwithstanding  that the stock  transfer  books of the  Company  shall  then be
closed or that certificates  representing such shares of Stock shall not then be
actually delivered to the Holder.

     (b)  RESERVATION  OF SHARES.  The Company  hereby  agrees that at all times
there shall be reserved for issuance and delivery  upon exercise of this Warrant
such number of shares of its Stock as shall be required for issuance or delivery
upon exercise of this Warrant.
                  

     (c)  FRACTIONAL  SHARES.  No  fractional  shares  shall be issued  upon the
exercise of this Warrant,  nor shall the Company be liable to the Holder for the
value of any  fractional  shares not  issuable  pursuant to the exercise of this
Warrant.
                  



                                       



     (d) EXCHANGE,  ASSIGNMENT OR LOSS OF WARRANT. This Warrant is exchangeable,
without expense, at the option of the Holder, upon presentation and surrender at
the office of the Company or its Warrant  Agent,  if any, for other  Warrants of
different  denominations  entitling  the Holder to purchase in the aggregate the
same number of shares of Stock purchasable hereunder.  This Warrant may be sold,
transferred,  assigned  or  hypothecated  at any  time as long as any and  every
assignment is effected in  compliance  with the  Securities  Act of 1933 and all
other applicable state securities laws.

     Any such  assignment  shall be made by  surrender  of this  Warrant  at the
office of the Company or its Warrant  Agent,  if any, with the  Assignment  Form
annexed  hereto duly  executed and funds  sufficient  to pay any  transfer  tax;
whereupon the Company shall,  without charge,  execute and deliver a new Warrant
in the name of the assignee named in the Assignment  Form and this Warrant shall
be cancelled.

     This Warrant may be divided or combined with other Warrants which carry the
same rights upon presentation hereof at the office of the Company or its Warrant
Agent,  if  any,  together  with a  written  notice  specifying  the  names  and
denominations  in which new  Warrants  are to be issued and signed by the Holder
hereof Upon receipt by the Company of evidence  satisfactory  to it of the loss,
their,  or  destruction  of  this  Warrant,   and  of  reasonably   satisfactory
indemnification,  and if  mutilated,  upon  surrender and  cancellation  of this
Warrant,  the Company  will  execute and  deliver a new Warrant  with  identical
terms, conditions and date.

     (e)  RIGHTS OF THE  HOLDER  The Holder  shall  not,  by virtue  hereof,  be
entitled to any rights of a shareholder of the Company, either at law or equity,
and the rights of the Holder are limited to those  expressed  in the Warrant and
are not enforceable against the Company except to the extent set forth herein.

     (f) ANTI-DILUTION PROVISIONS

                  (1)  Adjustments of Exercise  Price.  If the Company should at
any time or from time to time hereafter issue or sell any Stock [other than: (i)
Warrant Stock which may be purchased under the Warrant or (ii) stock issued upon
the  exercise  of any options  existing  as of the date of this  Warrant or upon
exercise of options  specified  in (A) below],  without  consideration  or for a
consideration  per share  less than the  Exercise  Price in  effect  under  this
Warrant immediately prior to the time of such issue or sale, then forthwith upon
such issue or sale, the Exercise Price shall be adjusted to a price (computed to
the nearest cent) determined by dividing (i) the sum of (x) the number of shares
of Stock  outstanding  immediately prior to such issue or sale multiplied by the
Exercise  Price in effect  immediately  prior to such issue or sale, and (y) the
consideration,  if any, received by the Company upon such issue or sale, by (ii)
the total number of shares of Stock outstanding  immediately after such issue or
sale. For purposes of this subsection (f)(1),  the following  provisions A to E,
if occurring  at any time  hereafter,  shall be used in  adjusting  the Exercise
Price:

                  (A) Options. If the Company shall grant any right to subscribe
         for or to  purchase,  or any  option for the  purchase  of Stock or any
         stock or other  securities  convertible  into or exchangeable for Stock
         (such convertible or exchangeable stock or securities being hereinafter
         referred to as  "Convertible  Securities")  other than  employee  stock
         options,  if any,  but not to  exceed  a total  of  3,900,000  employee
         options or shares  issuable  upon  exercise  of such  options,  and the
         minimum  price per share for which Stock is issuable,  pursuant to such
         rights or options or upon  conversion  or exchange of such  Convertible
         Securities  (determined  by  dividing  (i) the  total  amount,  if any,
         received or receivable by the Company as consideration for the granting
         of such  rights  or  options,  plus the  minimum  aggregate  amount  of
         additional  consideration  payable to the Company  upon the exercise of
         such  rights  or  options,  plus,  in  the  case  of  such  Convertible
         Securities,  the minimum aggregate amount of additional  consideration,
         

                                      -2-




        if any,  payable upon the conversion or exchange  thereof,  by (ii) the
         total  maximum  number  of shares of Stock  issuable  pursuant  to such
         rights or  options  or upon the  conversion  or  exchange  of the total
         maximum  amount  of  such  Convertible  Securities  issuable  upon  the
         exercise  of such rights or  options)  shall be less than the  Exercise
         Price in effect  immediately  prior to the time of the granting of such
         rights or  options,  then the total  maximum  number of shares of Stock
         issuable  pursuant  to such  rights or  options or upon  conversion  or
         exchange of the total  maximum  amount of such  Convertible  Securities
         issuable  upon the exercise of such rights or options  shall (as of the
         date of granting of such rights or options) be deemed to be outstanding
         and to have been  issued  for said  price  per share as so  determined;
         provided,  that no further  adjustment  of the Exercise  Price shall be
         made  upon the  actual  issue of  Common  Stock so  deemed to have been
         issued;  and further  provided that, upon the expiration of such rights
         (including rights to convert or exchange) or options, (a) the number of
         shares of Stock deemed to have been issued and outstanding by reason of
         the fact that they were  issuable  pursuant  to such  rights or options
         (including  right to convert  or  exchange)  which were not  exercised,
         shall no longer be deemed  to be issued  and  outstanding,  and (b) the
         Exercise  Price  shall  forthwith  be adjusted to the price which would
         have  prevailed  had all  adjustments  been  made on the  basis  of the
         issuance only of the shares of Stock actually  issued upon the exercise
         of such  rights or  options  or upon  conversion  or  exchange  of such
         Convertible Securities.

                  (B) Convertible Securities. If the Company shall issue or sell
         any Convertible  Securities,  and the minimum price per share for which
         Stock is issuable  upon  conversion  or  exchange  of such  Convertible
         Securities  (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 Stock  issuable  upon the  conversion or exchange of all such
         Convertible Securities) shall be less than the Exercise Price in effect
         immediately  prior to the time of such  issue or sale,  then the  total
         maximum number of shares of Stock issuable upon  conversion or exchange
         of all such  Convertible  Securities  shall (as of the issue or sale of
         such  Convertible  Securities) be deemed to be outstanding  and to have
         been issued for said price per share as so determined;  provided,  that
         no further  adjustment  of the  Exercise  Price  shall be made upon the
         actual  issuance of Stock so deemed to have been issued;  and,  further
         provided, that if any such issue or sale of such Convertible Securities
         is made upon  exercise of any right to subscribe  for or to purchase or
         any option to purchase  any such  Convertible  Securities  for which an
         adjustment of the Exercise  Price has been or is to be made pursuant to
         other provisions of this subsection  (f)(1),  no further  adjustment of
         the Exercise Price shall be made by reason of such issue or sale;  and,
         further provided, that, upon the termination of the right to convert or
         to exchange such  Convertible  Securities for Stock,  (a) the number of
         shares of Stock deemed to have been issued and outstanding by reason of
         the fact that they were  issuable  upon  conversion  or exchange of any
         such Convertible Securities,  which were not so converted or exchanged,
         shall no longer be deemed  to be issued  and  outstanding,  and (b) the
         Exercise  Price  shall  forthwith  be adjusted to the price which would
         have  prevailed  had all  adjustments  been  made on the  basis  of the
         issuance  only of the number of shares of Stock  actually  issued  upon
         conversion or exchange of such Convertible Securities.

                  (C)  Determination of Issue Price. In case any shares of Stock
         or Convertible Securities or any rights or options to purchase any such
         stock or  securities  shall  be  issued  for  cash,  the  consideration
         received therefor,  without deducting therefrom any commission or other
         expenses  paid or incurred by the Company for any  underwriting  of; or
         otherwise in connection with, the issuance thereof;  shall be deemed to
         be the amount of cash  received  by the Company  therefor.  In case any
         shares of Stock,  Convertible  Securities  or any  rights or options to
         
                                      -3-



         purchase  any  such  stock  or   securities   shall  be  issued  for  a
         consideration  part or all of which shall be other than cash, then, for
         the purpose of this  subsection  (f)(l),  the Board of Directors of the
         Company  shall   determine  the  fair  value  of  such   consideration,
         irrespective  of  accounting  treatment,  and such  Stock,  Convertible
         Securities,  rights or options  shall be deemed to have been issued for
         an amount  of cash  equal to the  value so  determined  by the Board of
         Directors.  The  reclassification  of securities  other than Stock into
         securities  including;,  Stock shall be deemed to involve the  issuance
         for a consideration  other than cash of such Stock immediately prior to
         the  close of  business  on the date  fixed  for the  determination  of
         security  holders entitled to receive such Stock. In case any shares of
         Stock or  Convertible  Securities  or any rights or options to purchase
         any such stock or other  securities shall be issued together with other
         stock or securities or other assets of the Company for a  consideration
         which  includes  both,  the Board of  Directors  of the  Company  shall
         determine what part of the consideration so received is to be deemed to
         be consideration for the issuance of such shares of Stock,  Convertible
         Securities, rights or options.

                  (D)  Determination of Date of Issue. In case the Company shall
         establish a record date for the purpose of determining which holders of
         Stock are  entitled  (i) to  receive a dividend  or other  distribution
         payable in Stock or in Convertible Securities, or (ii) to subscribe for
         or  purchase  Stock or  Convertible  Securities,  then such record date
         shall be deemed  to be the date of the  issue or sale of the  shares of
         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.

                    (E)  Treasury  Shares.  For the  purpose of this  subsection
          (f)(l), shares of Stock at ally relevant time owned or held by, or for
          the account of, the Company shall not be deemed outstanding.
                         

                  (2)  Adjustment of Price.  Anything in this Section (f) to the
contrary  notwithstanding,  if the Company  shall issue,  at any time,  Stock or
Convertible  Securities by way of dividend or other distribution on any stock of
the  Company  or  subdivide  or combine  the  outstanding  shares of Stock,  the
Exercise Price shall be  proportionately  decreased in the case of such issuance
or subdivision (on the day following the date fixed for determining shareholders
entitled to receive  such  dividend or other  distribution)  or increased in the
case of such  combination  (on the  date  that  such  combination  shall  become
effective).

                  (3) No Adjustment for Small Amounts.  Anything in this Section
(f) to the contrary  notwithstanding,  the Company shall not be required to give
effect to any  adjustment in the Exercise  Price unless and until the net effect
of one or more adjustments,  determined as above provided, shall have required a
change of the Exercise  Price by at least one cent,  but when the cumulative net
effect of more than one  adjustment so determined  shall be to change the actual
Exercise  Price by at least one cent,  such change in the  Exercise  Price shall
thereupon be given effect.

                  (4)  Number of Shares  Adjusted.  Upon any  adjustment  of the
Exercise Price, the Holder of this Warrant shall thereafter  (until another such
adjustment) be entitled to purchase,  at the new Exercise  Price,  the number of
shares, calculated to the nearest full share, obtained by multiplying the number
of shares of Stock  initially  issuable  upon  exercise  of this  Warrant by the
Exercise Price in effect on the date hereof and dividing the product so obtained
by the new Exercise Price.

                  (5)  Stock  Defined  for  Purpose  of  Section  (f).  Whenever
reference  is made in this  Section (f) to the issue or sale of shares of Stock,
the term "Stock" shall mean the Stock of the Company of the class  authorized as

                                      -4-




of the date  hereof and any other  class of stock  ranking on a parity with such
Stock. However,  subject to the provisions of Section (i) hereof shares issuable
upon exercise hereof shall include only shares of the class designated as no par
value Common Stock of the Company as of the date hereof

     (g) OFFICER'S CERTIFICATE. Whenever the Exercise Price shall be adjusted as
required by the  provisions  of Section (f) hereof the Company  shall  forthwith
file in the custody of its Secretary or an Assistant  Secretary at its principal
office, and with its Warrant Agent, if any, an officer's certificate showing the
adjusted  Exercise  Price  determined  as herein  provided and setting  forth in
reasonable  detail the facts  requiring  such  adjustment.  Each such  officer's
certificate  shall be made available at all  reasonable  times for inspection by
the Holder and the Company shall promptly after each such adjustment,  deliver a
copy of such certificate to the Holder.  Such certificate shall be conclusive as
to the  correctness  of such  adjustment  if the Holder of this Warrant does not
give written  notice of an  objection  to the Company  within 15 days after such
officer's certificate was mailed or hand-delivered to the Holder. If the Company
is given  written  notice of  objection,  and the parties  cannot  reconcile the
dispute,  it shall be arbitrated  pursuant to the laws of the State of Colorado,
or as the parties otherwise agree.

     (h)  NOTICES  TO  WARRANT  HOLDERS.  So  long  as  this  Warrant  shall  be
outstanding  and  unexercised  (i) if the Company shall pay any dividend or make
any distribution upon the Stock or (ii) if the Company shall offer to the Holder
of Stock for  subscription or purchase by it any shares of stock of any class or
any  other  rights  or  (iii)  if any  capital  reorganization  of the  Company,
reclassification of the capital stock of the Company, consolidation or merger of
the Company with or into another corporation,  sale, lease or transfer of all or
substantially  all  of  the  property  and  assets  of the  Company  to  another
corporation, or voluntary or involuntary dissolution,  liquidation or winding up
of the Company  shall be effected,  then,  in any such case,  the Company  shall
cause  to be  delivered  to the  Holder,  at least  ten  days  prior to the date
specified in (A) or (B) below,  as the case may be, a notice  containing a brief
description of the proposed action and stating the date on which (A) a record is
to be taken for the purpose of such  dividend,  distribution  or rights,  or (B)
such reclassification, reorganization, consolidation, merger, conveyance, lease,
dissolution, liquidation or winding up is to take place and the date, if any, is
to be fixed,  as of which the  Holder of Stock of record  shall be  entitled  to
exchange its shares of Stock for securities or other property  deliverable  upon
such  reclassification,   reorganization,   consolidation,  merger,  conveyance,
dissolution, liquidation or winding up.

     (i)  RECLASSIFICATION.  REORGANIZATION  OR MERGER If any  reclassification,
capital  reorganization  or other change of  outstanding  shares of Stock of the
Company (other than a change in par value or as a result of an issuance of Stock
by way of dividend or other distribution or of a subdivision or combination), or
in case of any  consolidation  or merger  of the  Company  with or into  another
corporation  (other than a merger with a subsidiary  in which the Company is the
surviving corporation and which does not result in any reclassification, capital
reorganization  or other  change  of  outstanding  shares  of Stock of the class
issuable  upon exercise of this Warrant) or in case of any sale or conveyance to
another   corporation  of  the  property  of  the  Company  as  an  entirety  or
substantially  as an entirety,  the Holder shall have the right  thereafter,  by
exercising this Warrant,  to purchase the kind and amount of shares of stock and
other  securities and property  receivable upon such  reclassification,  capital
reorganization or other change, consolidation, merger, sale or conveyance.

     The Company shall make provision for  adjustments  which shall be as nearly
equivalent  as may  be  practicable  to the  adjustments  provided  for in  this
Warrant.  The foregoing  provisions of this Section (i) shall similarly apply to
successive  reclassifications,  capital reorganizations and changes of shares of
Stock and to successive  consolidations,  mergers, sales or conveyances.  In the
event   that  in  any   such   capital   reorganization   or   reclassification,

                                      -5-



consolidation,  merger, sale or conveyance,  additional shares of Stock shall be
issued in exchange,  conversion,  substitution or payment,  in whole or in part,
for or of a security  of the Company  other than Stock,  any such issue shall be
treated as an issue of Stock  covered by the  provisions  of  subsection  (f)(1)
hereof  with the amount of the  consideration  received  upon the issue  thereof
being determined by the Board of Directors of the Company, such determination to
be final and binding on the Holder,  if the Holder of this or like Warrants does
not give written notice of an objection to the Company within 15 days after such
officer's certificate referred to in Section (g) was mailed or hand-delivered to
the Holder.  If the Company is given written notice of objection and the parties
cannot reconcile the dispute, it shall be arbitrated pursuant to the laws of the
State of Colorado or as the parties otherwise agree.

     (j) TRANSFER TO COMPLY WITH THE SECURITIES ACT OF 1933.

     The Company will cause the following legend, or one similar thereto,  to be
set forth on each certificate  representing  Warrant Stock or any other security
issued or issuable upon exercise of this Warrant, unless counsel for the Company
is of the opinion as to any such certificate that such legend is unnecessary:

          "The securities  represented by this  certificate may not be
          offered  for  sale,  sold or  otherwise  transferred  except
          pursuant to an effective  registration  statement made under
          the  Securities  Act of 1933 (the "Act"),  or pursuant to an
          exemption from  registration  under the Act the availability
          of which is to be  established  to the  satisfaction  of the
          Company."

     (k)  APPLICABLE  LAW.  This Warrant  shall be governed by, and construed in
accordance with, the laws of the State of Colorado.

                                      ACCELR8 TECHNOLOGY CORPORATION




Dated: December 31, 1995              By: /s/ Harry J. Fleury
                                         --------------------------------------
                                           Harry J. Fleury, President

(SEAL)

ATTEST


/s/ Thomas V. Geimer
    ---------------------
    Thomas V. Geimer



                                       -6-