EXECUTION VERSION

================================================================================




                              DII INDUSTRIES, LLC,

                                                 as Issuer,



                                       and



                              JPMORGAN CHASE BANK,

                                                 as Trustee



                        ---------------------------------



                          Second Supplemental Indenture

                          Dated as of October 27, 2003



                        ---------------------------------





                      Unsecured Debentures, Notes and Other
                            Evidences of Indebtedness



================================================================================



                  SECOND  SUPPLEMENTAL  INDENTURE,  dated as of October 27, 2003
(the  "Second  Supplemental  Indenture"),  by and  between DII  Industries,  LLC
(formerly Dresser  Industries,  Inc.), a Delaware limited liability company (the
"Company"),  and JPMorgan Chase Bank, a New York banking corporation  (successor
by merger to Texas  Commerce  Bank  National  Association,  a  national  banking
association), as trustee (the "Trustee").

                  Each  party  agrees as  follows  for the  benefit of the other
party and for the equal and  ratable  benefit of the  holders  of the  Company's
unsecured  debentures,  notes and other evidences of  indebtedness  from time to
time  authenticated and delivered  pursuant to the Indenture (as defined below),
as supplemented hereby:

                                    RECITALS

1.                The  Company  and the  Trustee  are  parties  to that  certain
                  Indenture,   dated  as  of  April  18,  1996  (the   "Original
                  Indenture"),   as  supplemented  by  the  First   Supplemental
                  Indenture, dated as of August 6, 1996 (the "First Supplemental
                  Indenture").  The Original  Indenture,  as supplemented by the
                  First  Supplemental  Indenture,  is herein  referred to as the
                  "Indenture."

2.                Section 9.02 of the  Indenture  provides  that the Company and
                  the  Trustee  may  amend  the  Indenture  or  the   Securities
                  outstanding  thereunder in a manner  affecting the  Securities
                  (as defined under Section 1.01 below) with the written consent
                  of the  Holders (as defined  under  Section  1.01 below) of at
                  least  66-2/3% in principal  amount of  the   then-outstanding
                  Securities of such series.

3.                The Company's  7.60%  debentures  due 2096 (the  "Debentures")
                  were issued pursuant to the Indenture.  As of the date hereof,
                  $300 million aggregate  principal amount of the Debentures are
                  outstanding.  No other  Securities  have  been  issued  or are
                  outstanding pursuant to the Indenture.

4.                All  things   necessary  to  make  this  Second   Supplemental
                  Indenture a valid and legally binding agreement of the Company
                  have been done,  including  receipt of  consents  to amend the
                  Indenture  as set forth  herein  from the  Holders of at least
                  66-2/3% in principal amount of the outstanding Debentures.

5.                In connection  with the Company's  solicitation of consents to
                  amend the Indenture as set forth herein,  Halliburton  Company
                  extended to  qualified  holders an offer to issue its new 7.6%
                  debentures due 2096 (the "Halliburton Debentures") in exchange
                  for a like amount of  outstanding  Debentures,  which offer is
                  referred to herein as the "Exchange Offer."

6.                The  Company  and  the  Trustee  hereby  agree  to  amend  the
                  Indenture as follows:

                                       1


                                    ARTICLE I
                           AMENDMENTS TO THE INDENTURE

         Section 1.01.     Restatement of Article 1.

                  Article 1 of the  Indenture is hereby  amended and replaced in
its entirety as follows:

                                   "ARTICLE 1

                   DEFINITIONS AND INCORPORATION BY REFERENCE

                           SECTION 1.01. Definitions.

                           "Affiliate"  of any specified  Person means any other
         Person  directly or indirectly  controlling  or controlled by, or under
         direct or indirect  common  control with,  such specified  Person.  For
         purposes of this definition, "control" of a Person shall mean the power
         to direct the  management  and  policies  of such  Person,  directly or
         indirectly,  whether  through the  ownership of voting  securities,  by
         contract or otherwise,  and the terms  "controlling"  and  "controlled"
         shall  have  meanings  correlative  to  the  foregoing;  provided  that
         beneficial  ownership  of 10% or more of the common  equity of a Person
         shall be deemed to be control.

                           "Agent" means any Registrar or Paying Agent.

                           "Board of  Directors"  or "Board"  means the Board of
         Directors  of the Company or other body  fulfilling  the  function of a
         board of directors of a corporation including, without limitation, with
         respect to a limited  liability  company,  its  members or any or other
         body duly  authorized,  or  committee  of such Board or other body duly
         authorized,  with  respect to any  particular  matter,  to act by or on
         behalf of the Board of Directors.

                           "Board  Resolution"  means  a  copy  of a  resolution
         delivered to the Trustee and certified by the Secretary or an Assistant
         Secretary  of the  Company  to have been duly  adopted  by the Board of
         Directors  and to be in  full  force  and  effect  on the  date of such
         certification.

                           "Capital  Stock"  of any  person  means  any  and all
         shares  (including  ordinary  shares or  American  Depositary  Shares),
         interests,  rights to purchase,  warrants,  options,  participations or
         other  equivalents  of or interests in (however  designated) of capital
         stock or other  equity  participations  of such  person  and any rights
         (other than debt securities  convertible or exchangeable into an equity
         iterest),  warrants  or options to acquire an equity  interest  in such
         person.

                                       2


                           "Company" means DII Industries, LLC or its successor.

                           "Company Order" means a written order of the Company,
         signed by two Officers,  one of whom shall be the principal  executive,
         financial or  accounting  officer of the Company,  and delivered to the
         Trustee.

                           "Default"  means any event which is, or after  notice
         or the passage of time or both, would be, an Event of Default.

                           "Depositary" means a clearing agency registered under
         the  Securities  Exchange  Act of 1934,  as amended,  or any  successor
         thereto,  which shall be designated by the Company  pursuant to Section
         2.01 until a successor  Depositary  shall have become such  pursuant to
         the   applicable   provisions  of  this   Indenture,   and   thereafter
         "Depositary" shall mean or include each person who is then a Depositary
         hereunder, and if at any time there is more than one such person, shall
         mean or include all such persons.  "Depositary" as used with respect to
         the Securities of any series shall mean the Depositary  with respect to
         the Securities of that series.

                           "Exchange Act" means the  Securities  Exchange Act of
         1934, as amended, and any successor statute.

                           "Generally accepted accounting  principles" when used
         with respect to any computation or interpretation required or permitted
         hereunder means such accounting principles which are generally accepted
         as of the date of this Indenture.

                           "Global Security" means a Security  registered in the
         name  of the  Depositary  or its  nominee  evidencing  all or part of a
         series  of   Securities,   which  is   executed   by  the  Company  and
         authenticated  and  delivered  to the  Depositary  or  pursuant  to the
         Depositary's  instructions,  all in accordance  with this Indenture and
         pursuant to a Company Order.

                           "Holder" or "Securityholder"  means a person in whose
         name a Security is registered in the Security Register.

                           "Indenture" means this Indenture as amended from time
         to time pursuant to applicable provisions of this Indenture,  and shall
         include  the form and terms of each  particular  series  of  Securities
         established pursuant to Section 2.01 hereof.

                           "Interest  Payment  Date"  means  the  date on  which
         payment of an  installment  of interest on the Securities of any series
         is due.

                           "Maturity"  when used with  respect  to any  Security
         means  the  date  on  which  the  principal  of  such  Security  or  an
         installment of principal  becomes due and payable as therein  provided,
         whether at the Stated Maturity or by declaration of acceleration,  call
         for redemption, pursuant to a sinking fund or otherwise.

                                       3


                           "Officer"  means  the  Chairman  of the  Board,  Vice
         Chairman of the Board,  President,  any Vice President,  the Treasurer,
         any Assistant  Treasurer,  the Secretary or any Assistant  Secretary of
         the Company.

                           "Officers' Certificate" means a certificate signed by
         two Officers,  one of whom shall be the principal executive,  financial
         or accounting officer.

                           "Opinion of  Counsel"  means a written  opinion  from
         legal counsel who is reasonably acceptable to the Trustee. Such counsel
         may be an employee of or counsel to the Company.

                           "Original Issue Discount Security" means any Security
         that provides for an amount less than the principal  amount  thereof to
         be due and payable upon a  declaration  of  acceleration  of the Stated
         Maturity thereof pursuant to Section 6.02.

                            "Person"   means   any   individual,    corporation,
         partnership,  limited liability company, joint venture, incorporated or
         unincorporated   association,   joint  stock  company,  trust,  estate,
         unincorporated    organization   or   government   or   other   agency,
         instrumentality or political subdivision thereof or other entity of any
         kind.

                           "Principal"  of a Security means the principal of the
         Security, plus the premium, if any, on the Security.

                           "Regular Record Date" for the interest payable on any
         Interest  Payment Date on the  Securities  of any series means the date
         specified for that purpose as contemplated by Section 2.01.

                           "SEC" means the Securities and Exchange Commission.

                           "Securities"  means the unsecured  debentures,  notes
         and other evidences of indebtedness  (including any Global  Securities)
         authenticated and delivered under this Indenture.

                           "Securities Act" means the Securities Act of 1933, as
         amended.

                           "Stated  Maturity"  when  used  with  respect  to any
         Security  or any  installment  of  principal  thereof  means  the  date
         specified in such  Security as the fixed date on which the principal of
         such Security or such installment of principal is due and payable.

                           "Subsidiary" of any Person means (a) any corporation,
         association or other business  entity (other than a partnership,  joint
         venture,  limited  liability  company or similar  entity) of which more
         than 50% of the total ordinary  voting power of shares of Capital Stock
         entitled  (without regard to the occurrence of any contingency) to vote
         in the election of directors,  managers or trustees thereof (or persons
         performing  similar  functions) or (b) any partnership,  joint venture,
         limited  liability  company or similar entity of which more than 50% of


                                       4


         the capital  accounts,  distribution  rights,  total  equity and voting
         interests or general or limited partnership  interests,  as applicable,
         is,  in the  case  of  clauses  (a)  and  (b),  at the  time  owned  or
         controlled, directly or indirectly, by (1) such Person, (2) such Person
         and  one or  more  Subsidiaries  of  such  Person  or (3)  one or  more
         Subsidiaries of such Person.  Unless otherwise  specified herein,  each
         reference to a Subsidiary will refer to a Subsidiary of the Company.

                           "TIA" means the Trust  Indenture Act of 1939 (15 U.S.
         Code ss.ss. 77aaa-77bbbb) as in effect on the date first above written.

                           "Trustee"  means the party named as such above or any
         other trustee appointed with respect to the Securities of any series as
         contemplated  by Section 2.01, in each case until a successor  replaces
         it with respect to the Securities of one or more series pursuant to the
         applicable provisions of this Indenture, and thereafter with respect to
         the Securities of such one or more series shall mean the successor.

                           "Trust   Officer"  means  any  officer  or  assistant
         officer  of the  Trustee  assigned  by the  Trustee to  administer  its
         corporate trust matters.

                           "United  States"  means the United  States of America
         (including the States and the District of Columbia) and its territories
         and  possessions,  which include Puerto Rico, the U.S.  Virgin Islands,
         Guam, American Samoa, Wake Island and the Northern Mariana Islands.

                           "U.S.    Government    Obligations"    means   direct
         obligations  of the  United  States  for the  payment of which the full
         faith and  credit of the  United  States is  pledged  and which are not
         callable at the issuer's option.

                        SECTION 1.02. Other Definitions.

                                                               Defined in
                  Term                                          Section

                 "Event of Default"........................       6.01
                 "Legal Holiday"...........................      10.07
                 "Paying Agent"............................       2.03
                 "Registrar"...............................       2.03
                 "Security Register".......................       2.03

                  SECTION 1.03.     Incorporation by Reference of Trust
                                    Indenture Act.

                           Whenever this  Indenture refers to a provision of the
         TIA, the provision is incorporated by r eference  in and made a part of
         this Indenture (and if the Indenture is  not qualified under the TIA at

                                       5


         that time, as if it were so qualified unless otherwise provided).   All
         terms used  in this Indenture that are defined by the TIA, defined by a
         TIA reference to  another  statute or defined by  an SEC rule under the
         TIA have the meanings so assigned to them.

                      SECTION 1.04. Rules of Construction.

                     Unless the context otherwise requires:

                           (1)      a term has the meaning assigned to it;

                           (2)      an accounting term not otherwise defined has
                                    the  meaning  assigned  to it in  accordance
                                    with    generally    accepted     accounting
                                    principles;

                           (3)      "or" is not exclusive;

                           (4)      words in the  singular  include  the plural,
                                    and in the plural include the singular; and

                           (5)      provisions  apply to  successive  events and
                                    transactions."

                     Section 1.02. Amendments to Article 4.

                     Article 4 of the Indenture is hereby amended and replaced
in its entirety as follows:

                                   "ARTICLE 4
                                    COVENANTS

                      SECTION 4.01. Payment of Securities.

                           The  Company  shall  pay  the  Principal  of  and any
         interest on the  Securities  on the dates  and in the  manner  provided
         in the  Securities.  Principal  and interest  shall be considered  paid
         on the date due if the Paying Agent holds on that  date money deposited
         with it by or on  behalf of the Company sufficient to pay all Principal
         and interest then due.

                           The Company  shall pay interest on overdue  principal
         at the rate borne by such  Securities  or  otherwise as provided in the
         Securities;  it shall pay interest on overdue  installments of interest
         at the same rate to the extent permitted by law.

                           Each  payment by the  Company  to the  Trustee or the
         Paying Agent shall be  accompanied by a written notice from the Company
         that specifies the series to which such payment relates.

                           SECTION 4.02.  Maintenance  of Office or Agency.  The
         Company  will  maintain  in the Borough of  Manhattan,  The City of New
         York,  an office or agency of the Trustee,  Registrar  and Paying Agent
         where  Securities  may be presented or surrendered  for payment,  where


                                       6


         Securities may be surrendered for  registration of transfer,  exchange,
         purchase or  redemption,  and where  notices and demands to or upon the
         Company in respect of the  Securities and this Indenture may be served.
         Unless  otherwise  provided  pursuant  to Section  2.01,  the office or
         agency of the Trustee in the Borough of Manhattan,  New York, New York,
         shall  initially  be such  office  or agency  for all of the  aforesaid
         purposes.  The Company shall give prompt  written notice to the Trustee
         of the location,  and of any change in the location, of any such office
         or agency  (other  than a change in the  location  of the office of the
         Trustee).  If at any time the Company  shall fail to maintain  any such
         required office or agency or shall fail to furnish the Trustee with the
         address thereof,  such presentations,  surrenders,  notices and demands
         may be made or  served  at the  address  of the  Trustee  set  forth in
         Section 10.11.

                           SECTION 4.03. Further  Assurances.  From time to time
         whenever  reasonably  requested by the Trustee,  the Company will make,
         execute and deliver,  or cause to be made,  executed or delivered,  any
         and all such further and other  instruments  and  assurances  as may be
         reasonably  necessary  or proper to carry  out the  intention  of or to
         facilitate the  performance of the terms of this Indenture or to secure
         the rights and  remedies  of the  Holders of  Securities  of any series
         provided  for  in  this  Indenture,  including,  but  not  limited  to,
         furnishing all necessary  information to the Trustee in connection with
         calculations and tax reporting  relating to any Original Issue Discount
         Securities that may be issued by the Company hereunder."

         Section 1.03.     Amendment to Article 5.

                  Article 5 of the Indenture is hereby deleted in its entirety.

         Section 1.04.     Amendments to Article 6.

                  Section 6.01 of the Indenture is hereby amended and replaced
in its entirety as follows:

                           "SECTION 6.01.   Events  of  Default.  An  "Event  of
         Default" with respect to Securities of any series occurs if:

                           (1) the Company defaults in  the payment of  interest
                  on any  Security of  such series when the same becomes due and
                  payable, which default  continues for a period of 30 days; and

                           (2) the  Company  defaults  in  the  payment  of  the
                  Principal of any Security of such series when the same becomes
                  due and payable at Maturity, upon redemption or otherwise."

         Section 1.05.     Amendments to Article 10.

                  Section 10.11 of the Indenture  is hereby amended and replaced
in its entirety as follows:

                                       7


                           "SECTION 10.11.  Addresses.

                  The Company's address is:

                           4100 Clinton Drive
                           Bldg. 1 - 7th Floor
                           Houston, TX  77010
                           Attention:  Treasurer
                           Facsimile No.:  713-753-2517

                  The Trustee's address is:

                           600 Travis, Suite 1150
                           Houston, Texas 77002
                           Attention:  Institutional Trust Services
                           Facsimile No.:  713-577-5200

                  For purposes of the requirement of a New York office contained
                  in Section 4.02, the address of the Trustee's agent is:

                           JPMorgan Chase Bank
                           4 New York Plaza
                           Ground Floor
                           New York, NY 10004

                  Securities may also be presented or surrendered for payment or
                  for registration of transfer, exchange, purchase or redemption
                  at the address of the trustee set forth above.

                                   ARTICLE II
                                  MISCELLANEOUS

         Section 2.01.  Effective  Date. This Second  Supplemental  Indenture is
effective as of the date first written  above;  however,  the  amendments to the
Indenture  set forth in Article I hereof shall not become  operative  unless and
until validly tendered  Debentures in an aggregate  principal amount of at least
$200 million are exchanged for Halliburton  Debentures  pursuant to the Exchange
Offer.

         Section   2.02.   Ratification.   Except  as   expressly   amended  and
supplemented by this Second Supplemental  Indenture,  the Indenture shall remain
unchanged and in full force and effect. This Second Supplemental Indenture shall
be construed as supplemental to the Indenture and shall form a part thereof.

         Section 2.03.  Governing Law. This Second Supplemental  Indenture shall
be governed by, and construed in accordance with, the laws of the State of Texas
(except that, to the fullest  extent  permitted by law, no effect shall be given
to any conflict of law  principles  of the State of Texas that would require the

                                       8


application of the laws of any other  jurisdiction)  and the applicable  federal
laws of the United States.

         Section 2.04.  Counterparts.  This Second Supplemental Indenture may be
executed in any number of  counterparts,  each of which shall be deemed to be an
original and all of which taken  together shall be deemed to be one and the same
instrument.

         Section 2.05.  Separability.  In case any one or more of the provisions
contained in this Second Supplemental  Indenture shall for any reason be held to
be invalid, illegal or unenforceable in any respect, such invalidity, illegality
or  unenforceability  shall not  affect  any  other  provisions  of this  Second
Supplemental  Indenture,   but  this  Second  Supplemental  Indenture  shall  be
construed as if such invalid,  illegal or unenforceable provision had never been
contained herein.

         Section 2.06.  Concerning the Trustee.  The Trustee  assumes no duties,
responsibilities or liabilities by reason of this Second Supplemental  Indenture
other than as set forth in the Indenture.

                                       9


                  IN WITNESS WHEREOF, each of the parties have duly executed and
delivered  this  Second  Supplemental  Indenture  or  have  caused  this  Second
Supplemental  Indenture to be duly executed on their respective  behalf by their
respective  officers  thereunto  duly  authorized,  as of the day and year first
above written.

                                       DII INDUSTRIES, LLC





                                        By:      /s/ M. S. Bender
                                          --------------------------------------
                                          Name:   M.S. Bender
                                          Title:  Vice President and Treasurer



                                       JPMORGAN CHASE BANK, as Trustee





                                       By:      /s/ Frank W. McCreary
                                         ---------------------------------------

                                           Name:      Frank W. McCreary
                                          Title:      Trust Officer