BYLAWS
                                          
                                         OF
                                          
                          QUICKTURN DESIGN SYSTEMS, INC.,
                               a Delaware Corporation
                                          
                        (AS AMENDED THROUGH AUGUST 21, 1998)





                                 TABLE OF CONTENTS


                                                                            Page
                                                                            ----
                                                                      
ARTICLE I - CORPORATE OFFICES 1

    1.1    REGISTERED OFFICE                                                  1
    1.2    OTHER OFFICES                                                      1

ARTICLE II - MEETINGS OF STOCKHOLDERS                                         1

    2.1    PLACE OF MEETINGS                                                  1
    2.2    ANNUAL MEETING                                                     1
    2.3    SPECIAL MEETING                                                    1
    2.4    NOTICE OF STOCKHOLDERS' MEETINGS                                   2
    2.5    ADVANCE NOTICE OF STOCKHOLDER NOMINEES AND STOCKHOLDER BUSINESS    2
    2.6    MANNER OF GIVING NOTICE; AFFIDAVIT OF NOTICE                       3
    2.7    QUORUM                                                             3
    2.8    ADJOURNED MEETING; NOTICE                                          4
    2.9    VOTING                                                             4
    2.10   WAIVER OF NOTICE                                                   4
    2.11   STOCKHOLDER ACTION BY WRITTEN CONSENT WITHOUT A MEETING            5
    2.12   RECORD DATE FOR STOCKHOLDER NOTICE; VOTING; GIVING CONSENTS        5
    2.13   PROXIES                                                            6
    2.14   LIST OF STOCKHOLDERS ENTITLED TO VOTE                              6
    2.15   CONDUCT OF BUSINESS                                                6

ARTICLE III - DIRECTORS                                                       7

    3.1    POWERS                                                             7
    3.2    NUMBER                                                             7
    3.3    LECTION, QUALIFICATION AND TERM OF OFFICE OF DIRECTORS             7
    3.4    RESIGNATION AND VACANCIES                                          7
    3.5    PLACE OF MEETINGS; MEETINGS BY TELEPHONE                           8
    3.6    FIRST MEETINGS                                                     8
    3.7    REGULAR MEETINGS                                                   9
    3.8    SPECIAL MEETINGS; NOTICE                                           9
    3.9    QUORUM                                                             9

                                       -i-



                                  TABLE OF CONTENTS
                                     (continued)

                                                                            Page
                                                                            ----

    3.10   WAIVER OF NOTICE                                                   9
    3.11   ADJOURNED MEETING; NOTICE                                         10
    3.12   CONDUCT OF BUSINESS                                               10
    3.13   BOARD ACTION BY WRITTEN CONSENT WITHOUT A MEETING                 10
    3.14   FEES AND COMPENSATION OF DIRECTORS                                10
    3.15   APPROVAL OF LOANS TO OFFICERS                                     10
    3.16   REMOVAL OF DIRECTORS                                              11

ARTICLE IV - COMMITTEES                                                      11

    4.1    COMMITTEES OF DIRECTORS                                           11
    4.2    COMMITTEE MINUTES                                                 12
    4.3    MEETINGS AND ACTION OF COMMITTEES                                 12

ARTICLE V - OFFICERS                                                         12

    5.1    OFFICERS                                                          12
    5.2    ELECTION OF OFFICERS                                              12
    5.3    REMOVAL AND RESIGNATION OF OFFICERS                               13
    5.4    CHAIRMAN OF THE BOARD                                             13
    5.5    CHIEF EXECUTIVE OFFICER                                           13
    5.6    PRESIDENT                                                         14
    5.7    VICE PRESIDENT                                                    14
    5.8    SECRETARY                                                         14
    5.9    CHIEF FINANCIAL OFFICER                                           15
    5.10   ASSISTANT SECRETARY                                               15
    5.11   AUTHORITY AND DUTIES OF OFFICERS                                  15

ARTICLE VI - INDEMNITY                                                       15

    6.1    INDEMNIFICATION OF DIRECTORS AND OFFICERS                         15
    6.2    INDEMNIFICATION OF OTHERS                                         15
    6.3    INSURANCE                                                         16

ARTICLE VII - RECORDS AND REPORTS                                            16

    7.1    MAINTENANCE AND INSPECTION OF RECORDS                             16
    7.2    INSPECTION BY DIRECTORS                                           17
    7.3    REPRESENTATION OF SHARES OF OTHER CORPORATIONS                    17

ARTICLE VIII - GENERAL MATTERS                                               17

                                       -ii-



                                  TABLE OF CONTENTS
                                     (continued)
                                                                            Page
                                                                            ----

    8.1    CHECKS                                                            17
    8.2    EXECUTION OF CORPORATE CONTRACTS AND INSTRUMENTS                  18
    8.3    STOCK CERTIFICATES; PARTLY PAID SHARES                            19
    8.4    SPECIAL DESIGNATION ON CERTIFICATES                               19
    8.5    LOST CERTIFICATES                                                 20
    8.6    CONSTRUCTION; DEFINITIONS                                         20
    8.7    DIVIDENDS                                                         20
    8.8    FISCAL YEAR                                                       20
    8.9    SEAL                                                              20
    8.10   TRANSFER OF STOCK                                                 20
    8.11   STOCK TRANSFER AGREEMENTS                                         20
    8.12   REGISTERED STOCKHOLDERS                                           20

ARTICLE IX - AMENDMENTS                                                      20

ARTICLE X - DISSOLUTION                                                      21

ARTICLE XI - CUSTODIAN                                                       21

    11.1   APPOINTMENT OF A CUSTODIAN IN CERTAIN CASES                       21
    11.2   DUTIES OF CUSTODIAN                                               22


                                       -iii-



                                       BYLAWS
                                          
                                         OF
                                          
                           QUICKTURN DESIGN SYSTEMS, INC.
                                          
                        (AS AMENDED THROUGH AUGUST 21, 1998)
                                          
                                     ARTICLE I
                                          
                                 CORPORATE OFFICES

       1.1     REGISTERED OFFICE

       The registered office of the Corporation shall be in the City of 
Dover, County of Kent, State of Delaware.  The name of the registered agent 
of the Corporation at such location is The Corporation Trust Company.

       1.2     OTHER OFFICES

       The board of directors may at any time establish other offices at any 
place or places where the Corporation is qualified to do business.

                                     ARTICLE II

                              MEETINGS OF STOCKHOLDERS

       2.1     PLACE OF MEETINGS

       Meetings of stockholders shall be held at any place, within or outside 
the State of Delaware, designated by the board of directors.  In the absence 
of any such designation, stockholders' meetings shall be held at the 
registered office of the Corporation.

       2.2     ANNUAL MEETING

       The annual meeting of stockholders shall be held each year on a date 
and at a time designated by the board of directors.  At the meeting, 
directors shall be elected and any other proper business may be transacted.

       2.3     SPECIAL MEETING

       A special meeting of the stockholders may be called at any time by (i) 
the board of directors, (ii) the chairman of the board, (iii) the president, 
(iv) the chief executive officer or (v) subject to the procedures set forth 
in this Section 2.3, one or more stockholders holding shares in the aggregate 
entitled to cast not less than ten percent (10%) of the votes at that meeting.

                                       -1-



       Upon request in writing sent by registered mail to the president or 
chief executive officer by any stockholder or stockholders entitled to call a 
special meeting of stockholders pursuant to this Section 2.3, the board of 
directors shall determine a place and time for such meeting, which time shall 
be not less than ninety (90) nor more than one hundred (100) days after the 
receipt and determination of the validity of such request, and a record date 
for the determination of stockholders entitled to vote at such meeting in the 
manner set forth in Section 2.12 hereof. Following such receipt and 
determination, it shall be the duty of the secretary to cause notice to be 
given to the stockholders entitled to vote at such meeting, in the manner set 
forth in Section 2.4 hereof, that a meeting will be held at the place and 
time so determined.

       2.4     NOTICE OF STOCKHOLDERS' MEETINGS

       All notices of meetings with stockholders shall be in writing and 
shall be sent or otherwise given in accordance with Section 2.6 of these 
Bylaws not less than 10 nor more than 60 days before the date of the meeting 
to each stockholder entitled to vote at such meeting.  The notice shall 
specify the place, date and hour of the meeting, and, in the case of a 
special meeting, the purpose or purposes for which the meeting is called.

       2.5     ADVANCE NOTICE OF STOCKHOLDER NOMINEES AND STOCKHOLDER BUSINESS

       To be properly brought before an annual meeting or special meeting, 
nominations for the election of director or other business must be (a) 
specified in the notice of meeting (or any supplement thereto) given by or at 
the direction of the board of directors, (b) otherwise properly brought 
before the meeting by or at the direction of the board of directors, or (c) 
otherwise properly brought before the meeting by a stockholder.  For such 
nominations or other business to be considered properly brought before the 
meeting by a stockholder, such stockholder must have given timely notice and 
in proper form of his intent to bring such business before such meeting.  To 
be timely, such stockholder's notice must be delivered to or mailed and 
received by the secretary of the Corporation not less than 90 days prior to 
the meeting; provided, however, that in the event that less than 100 days 
notice or prior public disclosure of the date of the meeting is given or made 
to stockholders, notice by the stockholder to be timely must be so received 
not later than the close of business on the tenth day following the day on 
which such notice of the date of the meeting was mailed or such public 
disclosure was made.  To be in proper form, a stockholder's notice to the 
secretary shall set forth:

               (i)    the name and address of the stockholder who intends to
               make the nominations, propose the business, and, as the case may
               be, the name and address of the person or persons to be nominated
               or the nature of the business to be proposed;

               (ii)   a representation that the stockholder is a holder of
               record of stock of the Corporation entitled to vote at such
               meeting and, if applicable, intends to appear in person or by
               proxy at the meeting to 

                                       -2-



               nominate the person or persons specified in the notice or 
               introduce the business specified in the notice;

               (iii) if applicable, a description of all arrangements or
               understandings between the stockholder and each nominee and any
               other person or persons (naming such person or persons) pursuant
               to which the nomination or nominations are to be made by the
               stockholder;

               (iv)   such other information regarding each nominee or each
               matter of business to be proposed by such stockholder as would be
               required to be included in a proxy statement filed pursuant to
               the proxy rules of the Securities and Exchange Commission had the
               nominee been nominated, or intended to be nominated, or the
               matter been proposed, or intended to be proposed by the board of
               directors; and

               (v)    if applicable, the consent of each nominee to serve as
               director of the Corporation if so elected.

       The chairman of the meeting may refuse to acknowledge the nomination 
of any person or the proposal of any business not made in compliance with the 
foregoing procedure.

       2.6     MANNER OF GIVING NOTICE; AFFIDAVIT OF NOTICE

       Written notice of any meeting of stockholders, if mailed, is given 
when deposited in the United States mail, postage prepaid, directed to the 
stockholder at his address as it appears on the records of the Corporation.  
An affidavit of the secretary or an assistant secretary or of the transfer 
agent of the Corporation that the notice has been given shall, in the absence 
of fraud, be prima facie evidence of the facts stated therein.

       2.7     QUORUM

       The holders of a majority of the stock issued and outstanding and 
entitled to vote thereat, present in person or represented by proxy, shall 
constitute a quorum at all meetings of the stockholders for the transaction 
of business except as otherwise provided by statute or by the certificate of 
incorporation.  If, however, such quorum is not present or represented at any 
meeting of the stockholders, then either (i) the chairman of the meeting, or 
(ii) the stockholders entitled to vote thereat, present in person or 
represented by proxy, shall have power to adjourn the meeting from time to 
time, without notice other than announcement at the meeting, until a quorum 
is present or represented.  At such adjourned meeting at which a quorum is 
present or represented, any business may be transacted that might have been 
transacted at the meeting as originally noticed.

       When a quorum is present or represented at any meeting, the vote of 
the holders of a majority of the stock having voting power present in person 
or represented by proxy shall decide any question brought before such 
meeting, unless the question is one upon which, by express provisions of the 

                                       -3-



statutes or of the certificate of incorporation, a different vote is 
required, in which case such express provision shall govern and control the 
decision of the question.

       2.8     ADJOURNED MEETING; NOTICE

       When a meeting is adjourned to another time or place, unless these 
Bylaws otherwise require, notice need not be given of the adjourned meeting 
if the time and place thereof are announced at the meeting at which the 
adjournment is taken.  At the adjourned meeting the Corporation may transact 
any business that might have been transacted at the original meeting.  If the 
adjournment is for more than 30 days, or if after the adjournment a new 
record date is fixed for the adjourned meeting, a notice of the adjourned 
meeting shall be given to each stockholder of record entitled to vote at the 
meeting.

       2.9     VOTING

       The stockholders entitled to vote at any meeting of stockholders shall 
be determined in accordance with the provisions of Sections 2.12 and 2.14 of 
these Bylaws, subject to the provisions of Sections 217 and 218 of the 
General Corporation Law of Delaware (relating to voting rights of 
fiduciaries, pledgors and joint owners of stock and to voting trusts and 
other voting agreements).

       Except as may be otherwise provided in the certificate of 
incorporation, each stockholder shall be entitled to one vote for each share 
of capital stock held by such stockholder.

       2.10    WAIVER OF NOTICE

       Whenever notice is required to be given under any provision of the 
General Corporation Law of Delaware or of the certificate of incorporation or 
these Bylaws, a written waiver thereof, signed by the person entitled to 
notice, whether before or after the time stated therein, shall be deemed 
equivalent to notice.  Attendance of a person at a meeting shall constitute a 
waiver of notice of such meeting, except when the person attends a meeting 
for the express purpose of objecting, at the beginning of the meeting, to the 
transaction of any business because the meeting is not lawfully called or 
convened.  Neither the business to be transacted at, nor the purpose of, any 
regular or special meeting of the stockholders need be specified in any 
written waiver of notice unless so required by the certificate of 
incorporation or these Bylaws.
       
       2.11    STOCKHOLDER ACTION BY WRITTEN CONSENT WITHOUT A MEETING

       Unless otherwise provided in the certificate of incorporation, any 
action required by this chapter to be taken at any annual or special meeting 
of stockholders of a Corporation, or any action that may be taken at any 
annual or special meeting of such stockholders, may be taken without a 
meeting, without prior notice, and without a vote if a consent in writing, 
setting forth the action so taken, is signed by the holders of outstanding 
stock having not less than the minimum number of votes that would be 
necessary to authorize or take such action at a meeting at which all shares 
entitled to vote thereon were present and voted.

                                       -4-



       Prompt notice of the taking of the corporate action without a meeting 
by less than unanimous written consent shall be given to those stockholders 
who have not consented in writing.  If the action which is consented to is 
such as would have required the filing of a certificate under any section of 
the General Corporation Law of Delaware if such action had been voted on by 
stockholders at a meeting thereof, then the certificate filed under such 
section shall state, in lieu of any statement required by such section 
concerning any vote of stockholders, that written notice and written consent 
have been given as provided in Section 228 of the General Corporation Law of 
Delaware.

       Notwithstanding the foregoing, effective upon the registration of any 
class of securities of the Corporation pursuant to the requirements of the 
Securities Exchange Act of 1934, as amended, the stockholders of the 
Corporation may not take action by written consent without a meeting but must 
take any such actions at a duly called annual or special meeting.

       2.12    RECORD DATE FOR STOCKHOLDER NOTICE; VOTING; GIVING CONSENTS

       In order that the Corporation may determine the stockholders entitled 
to notice of or to vote at any meeting of stockholders or any adjournment 
thereof, or entitled to express consent to corporate action in writing 
without a meeting, or entitled to receive payment of any dividend or other 
distribution or allotment of any rights, or entitled to exercise any rights 
in respect of any change, conversion or exchange of stock or for the purpose 
of any other lawful action, the board of directors may fix, in advance, a 
record date, which shall not be more than 60 nor less than 10 days before the 
date of such meeting, nor more than 60 days prior to any other action.

       If the board of directors does not so fix a record date, the fixing of 
such record date shall be governed by the provisions of Section 213 of the 
General Corporation Law of Delaware.

       A determination of stockholders of record entitled to notice of or to 
vote at a meeting of stockholders shall apply to any adjournment of the 
meeting; provided, however, that the board of directors may fix a new record 
date for the adjourned meeting.

       2.13    PROXIES

       Each stockholder entitled to vote at a meeting of stockholders or to
express consent or dissent to corporate action in writing without a meeting may
authorize another person or persons to act for him by a written proxy, signed by
the stockholder and filed with the secretary of the Corporation, but no such
proxy shall be voted or acted upon after 3 years from its date, unless the proxy
provides for a longer period.  A proxy shall be deemed signed if the
stockholder's name is placed on the proxy (whether by manual signature,
typewriting, telegraphic transmission or otherwise) by the stockholder or the
stockholder's attorney-in-fact.  The revocability of a proxy that states on its
face that it is irrevocable shall be governed by the provisions of
Section 212(c) of the General Corporation Law of Delaware.

                                       -5-



       2.14    LIST OF STOCKHOLDERS ENTITLED TO VOTE

       The officer who has charge of the stock ledger of a Corporation shall 
prepare and make, at least 10 days before every meeting of stockholders, a 
complete list of the stockholders entitled to vote at the meeting, arranged 
in alphabetical order, and showing the address of each stockholder and the 
number of shares registered in the name of each stockholder.  Such list shall 
be open to the examination of any stockholder, for any purpose germane to the 
meeting, during ordinary business hours, for a period of at least 10 days 
prior to the meeting, either at a place within the city where the meeting is 
to be held, which place shall be specified in the notice of the meeting, or, 
if not so specified, at the place where the meeting is to be held.  The stock 
ledger shall also be produced and kept at the time and place of the meeting 
during the whole time thereof, and may be inspected by any stockholder who is 
present.  The stock ledger shall be the only evidence as to who are the 
stockholders entitled to examine the stock ledger, the list of stockholders 
or the books of the Corporation, or to vote in person or by proxy at any 
meeting of stockholders and of the number of shares held by each such 
stockholder.

       2.15    CONDUCT OF BUSINESS

       Meetings of stockholders shall be presided over by the chairman of the
board, if any, or in his absence by the president, or in his absence by a vice
president, or in the absence of the foregoing persons by a chairman designated
by the board of directors, or in the absence of such designation by a chairman
chosen at the meeting.  The secretary shall act as secretary of the meeting, but
in his absence the chairman of the meeting may appoint any person to act as
secretary of the meeting.  The chairman of any meeting of stockholders shall
determine the order of business and the procedures at the meeting, including
such matters as the regulation of the manner of voting and conduct of business.


                                  ARTICLE III

                                   DIRECTORS

       3.1     POWERS

       Subject to the provisions of the General Corporation Law of Delaware 
and any limitations in the certificate of incorporation or these Bylaws 
relating to action required to be approved by the stockholders or by the 
outstanding shares, the business and affairs of the Corporation shall be 
managed and all corporate powers shall be exercised by or under the direction 
of the board of directors.

       3.2     NUMBER

                                       -6-



       The authorized number of directors of the Corporation shall be eight 
(8).  No reduction of the authorized number of directors shall have the 
effect of removing any director before that director's term of office 
expires.  

       3.3     ELECTION, QUALIFICATION AND TERM OF OFFICE OF DIRECTORS

       Except as provided in Section 3.4 of these Bylaws, at each annual 
meeting of stockholders, directors of the Corporation shall be elected to 
hold office until the expiration of the term for which they are elected, and 
until their successors have been duly elected and qualified; except that if 
any such election shall not be so held, such election shall take place at a 
stockholders' meeting called and held in accordance with the Delaware General 
Corporation Law. 

       Directors need not be stockholders unless so required by the 
certificate of incorporation or these Bylaws, wherein other qualifications 
for directors may be prescribed.  

       Elections of directors need not be by written ballot.

       3.4     RESIGNATION AND VACANCIES

       Any director may resign at any time upon written notice to the 
Corporation.  Stockholders may remove directors with or without cause.  Any 
vacancy occurring in the board of directors with or without cause may be 
filled by a majority of the remaining members of the board of directors, 
although such majority is less than a quorum, or by a plurality of the votes 
cast at a meeting of stockholders, and each director so elected shall hold 
office until the expiration of the term of office of the director whom he has 
replaced.

       Unless otherwise provided in the certificate of incorporation or these 
Bylaws:

               (i)    Vacancies and newly created directorships resulting from
       any increase in the authorized number of directors elected by all of the
       stockholders having the right to vote as a single class may be filled by
       a majority of the directors then in office, although less than a quorum,
       or by a sole remaining director.

               (ii)   Whenever the holders of any class or classes of stock or
       series thereof are entitled to elect one or more directors by the
       provisions of the certificate of incorporation, vacancies and newly
       created directorships of such class or classes or series may be filled
       by a majority of the directors elected by such class or classes or
       series thereof then in office, or by a sole remaining director so
       elected.

       If at any time, by reason of death or resignation or other cause, the 
Corporation should have no directors in office, then any officer or any 
stockholder or an executor, administrator, trustee or guardian of a 
stockholder, or other fiduciary entrusted with like responsibility for the 
person or estate of a stockholder, may apply to the Court of Chancery for a 
decree summarily ordering an election as provided in Section 211 of the 
General Corporation Law of Delaware.

                                       -7-



       If, at the time of filling any vacancy or any newly created 
directorship, the directors then in office constitute less than a majority of 
the whole board (as constituted immediately prior to any such increase), then 
the Court of Chancery may, upon application of any stockholder or 
stockholders holding at least 10% of the total number of the shares at the 
time outstanding having the right to vote for such directors, summarily order 
an election to be held to fill any such vacancies or newly created 
directorships, or to replace the directors chosen by the directors then in 
office as aforesaid, which election shall be governed by the provisions of 
Section 211 of the General Corporation Law of Delaware as far as applicable.

       3.5     PLACE OF MEETINGS; MEETINGS BY TELEPHONE

       The board of directors of the Corporation may hold meetings, both 
regular and special, either within or outside the State of Delaware.

       Unless otherwise restricted by the certificate of incorporation or 
these Bylaws, members of the board of directors, or any committee designated 
by the board of directors, may participate in a meeting of the board of 
directors, or any committee, by means of conference telephone or similar 
communications equipment by means of which all persons participating in the 
meeting can hear each other, and such participation in a meeting shall 
constitute presence in person at the meeting.

       3.6     FIRST MEETINGS

       The first meeting of each newly elected board of directors shall be 
held at such time and place as shall be fixed by the vote of the stockholders 
at the annual meeting and no notice of such meeting shall be necessary to the 
newly elected directors in order legally to constitute the meeting, provided 
a quorum shall be present. In the event of the failure of the stockholders to 
fix the time or place of such first meeting of the newly elected board of 
directors, or in the event such meeting is not held at the time and place so 
fixed by the stockholders, the meeting may be held at such time and place as 
shall be specified in a notice given as hereinafter provided for special 
meetings of the board of directors, or as shall be specified in a written 
waiver signed by all of the directors.

       3.7     REGULAR MEETINGS

       Regular meetings of the board of directors may be held without notice 
at such time and at such place as shall from time to time be determined by 
the board.

       3.8     SPECIAL MEETINGS; NOTICE

       Special meetings of the board of directors for any purpose or purposes 
may be called at any time by the chairman of the board, the president, any 
vice president, the secretary or any two directors.

       Notice of the time and place of special meetings shall be delivered 
personally or by telephone to each director or sent by first-class mail or 
telegram, charges prepaid, addressed to each director at 

                                       -8-



that director's address as it is shown on the records of the Corporation.  If 
the notice is mailed, it shall be deposited in the United States mail at 
least 4 days before the time of the holding of the meeting.  If the notice is 
delivered personally or by telephone or by telegram, it shall be delivered 
personally or by telephone or to the telegraph company at least 48 hours 
before the time of the holding of the meeting.  Any oral notice given 
personally or by telephone may be communicated either to the director or to a 
person at the office of the director who the person giving the notice has 
reason to believe will promptly communicate it to the director.  The notice 
need not specify the purpose or the place of the meeting, if the meeting is 
to be held at the principal executive office of the Corporation.

       3.9     QUORUM

       At all meetings of the board of directors, a majority of the 
authorized number of directors shall constitute a quorum for the transaction 
of business and the act of a majority of the directors present at any meeting 
at which there is a quorum shall be the act of the board of directors, except 
as may be otherwise specifically provided by statute or by the certificate of 
incorporation.

       3.10    WAIVER OF NOTICE

       Whenever notice is required to be given under any provision of the 
General Corporation Law of Delaware or of the certificate of incorporation or 
these Bylaws, a written waiver thereof, signed by the person entitled to 
notice, whether before or after the time stated therein, shall be deemed 
equivalent to notice.  Attendance of a person at a meeting shall constitute a 
waiver of notice of such meeting, except when the person attends a meeting 
for the express purpose of objecting, at the beginning of the meeting, to the 
transaction of any business because the meeting is not lawfully called or 
convened.  Neither the business to be transacted at, nor the purpose of, any 
regular or special meeting of the directors, or members of a committee of 
directors, need be specified in any written waiver of notice unless so 
required by the certificate of incorporation or these Bylaws.

       3.11    ADJOURNED MEETING; NOTICE

       If a quorum is not present at any meeting of the board of directors, 
then the directors present thereat may adjourn the meeting from time to time, 
without notice other than announcement at the meeting, until a quorum is 
present.

       3.12    CONDUCT OF BUSINESS

       Meetings of the board of directors shall be presided over by the 
chairman of the board, if any, or in his absence by the chief executive 
officer, or in their absence by a chairman chosen at the meeting.  The 
secretary shall act as secretary of the meeting, but in his absence the 
chairman of the meeting may appoint any person to act as secretary of the 
meeting.  The chairman of any meeting shall determine the order of business 
and the procedures at the meeting.

                                       -9-



       3.13    BOARD ACTION BY WRITTEN CONSENT WITHOUT A MEETING

       Unless otherwise restricted by the certificate of incorporation or 
these Bylaws, any action required or permitted to be taken at any meeting of 
the board of directors, or of any committee thereof, may be taken without a 
meeting if all members of the board or committee, as the case may be, consent 
thereto in writing and the writing or writings are filed with the minutes of 
proceedings of the board or committee.

       3.14    FEES AND COMPENSATION OF DIRECTORS

       Unless otherwise restricted by the certificate of incorporation or 
these Bylaws, the board of directors shall have the authority to fix the 
compensation of directors.  The directors may be paid their expenses, if any, 
of attendance at each meeting of the board of directors and may be paid a 
fixed sum for attendance at each meeting of the board of directors or a 
stated salary as director.  No such payment shall preclude any director from 
serving the Corporation in any other capacity and receiving compensation 
therefor.  Members of special or standing committees may be allowed like 
compensation for attending committee meetings.

       3.15    APPROVAL OF LOANS TO OFFICERS

       The Corporation may lend money to, or guarantee any obligation of, or 
otherwise assist any officer or other employee of the Corporation or of its 
subsidiary, including any officer or employee who is a director of the 
Corporation or its subsidiary, whenever, in the judgment of the directors, 
such loan, guaranty or assistance may reasonably be expected to benefit the 
Corporation.  The loan, guaranty or other assistance may be with or without 
interest and may be unsecured, or secured in such manner as the board of 
directors shall approve, including, without limitation, a pledge of shares of 
stock of the Corporation.  Nothing in this section contained shall be deemed 
to deny, limit or restrict the powers of guaranty or warranty of the 
Corporation at common law or under any statute.

       3.16    REMOVAL OF DIRECTORS

       Unless otherwise restricted by statute, by the certificate of 
incorporation or by these Bylaws, any director or the entire board of 
directors may be removed, with or without cause, by the holders of a majority 
of the shares then entitled to vote at an election of directors.  If at any 
time a class or series of shares is entitled to elect one or more directors, 
the provisions of this Article 3.16 shall apply to the vote of that class or 
series and not to the vote of the outstanding shares as a whole.

       No reduction of the authorized number of directors shall have the 
effect of removing any director prior to the expiration of such director's 
term of office.

                                       -10-



                                     ARTICLE IV

                                     COMMITTEES

       4.1     COMMITTEES OF DIRECTORS

       The board of directors may, by resolution passed by a majority of the 
whole board, designate one or more committees, with each committee to consist 
of one or more of the directors of the Corporation.  The board may designate 
one or more directors as alternate members of any committee, who may replace 
any absent or disqualified member at any meeting of the committee.  In the 
absence or disqualification of a member of a committee, the member or members 
thereof present at any meeting and not disqualified from voting, whether or 
not he or they constitute a quorum, may unanimously appoint another member of 
the board of directors to act at the meeting in the place of any such absent 
or disqualified member.  Any such committee, to the extent provided in the 
resolution of the board of directors or in the Bylaws of the Corporation, 
shall have and may exercise all the powers and authority of the board of 
directors in the management of the business and affairs of the Corporation, 
and may authorize the seal of the Corporation to be affixed to all papers 
that may require it; but no such committee shall have the power or authority 
to (i) amend the certificate of incorporation (except that a committee may, 
to the extent authorized in the resolution or resolutions providing for the 
issuance of shares of stock adopted by the board of directors as provided in 
Section 151(a) of the General Corporation Law of Delaware, fix any of the 
preferences or rights of such shares relating to dividends, redemption, 
dissolution, any distribution of assets of the Corporation or the conversion 
into, or the exchange of such shares for, shares of any other class or 
classes or any other series of the same or any other class or classes of 
stock of the Corporation), (ii) adopt an agreement of merger or consolidation 
under Sections 251 or 252 of the General Corporation Law of Delaware, (iii) 
recommend to the stockholders the sale, lease or exchange of all or 
substantially all of the Corporation's property and assets, (iv) recommend to 
the stockholders a dissolution of the Corporation or a revocation of a 
dissolution, or (v) amend the Bylaws of the Corporation; and, unless the 
board resolution establishing the committee, the Bylaws or the certificate of 
incorporation expressly so provide, no such committee shall have the power or 
authority to declare a dividend, to authorize the issuance of stock, or to 
adopt a certificate of ownership and merger pursuant to Section 253 of the 
General Corporation Law of Delaware.

       4.2     COMMITTEE MINUTES

       Each committee shall keep regular minutes of its meetings and report 
the same to the board of directors when required.

       4.3     MEETINGS AND ACTION OF COMMITTEES

       Meetings and actions of committees shall be governed by, and held and 
taken in accordance with, the provisions of Article III of these Bylaws, 
Section 3.5 (place of meetings and meetings by telephone), Section 3.7 
(regular meetings), Section 3.8 (special meetings and notice), Section 3.9 
(quorum), Section 3.10 (waiver of notice), Section 3.11 (adjournment and 
notice of adjournment), 

                                       -11-



Section 3.12 (conduct of business) and 3.13 (action without a meeting), with 
such changes in the context of those Bylaws as are necessary to substitute 
the committee and its members for the board of directors and its members; 
provided, however, that the time of regular meetings of committees may also 
be called by resolution of the board of directors and that notice of special 
meetings of committees shall also be given to all alternate members, who 
shall have the right to attend all meetings of the committee.  The board of 
directors may adopt rules for the government of any committee not 
inconsistent with the provisions of these Bylaws.

                                     ARTICLE V
                                          
                                      OFFICERS

       5.1     OFFICERS

       The officers of the Corporation shall be a chief executive officer, 
one or more vice presidents, a secretary and a chief financial officer.  The 
Corporation may also have, at the discretion of the board of directors, a 
chairman of the board, a president, a chief operating officer, one or more 
executive, senior or assistant vice presidents, assistant secretaries and any 
such other officers as may be appointed in accordance with the provisions of 
Section 5.2 of these Bylaws.  Any number of offices may be held by the same 
person.

       5.2     ELECTION OF OFFICERS

       Except as otherwise provided in this Section 5.2, the officers of the 
Corporation shall be chosen by the board of directors, subject to the rights, 
if any, of an officer under any contract of employment.  The board of 
directors may appoint, or empower an officer to appoint, such officers and 
agents of the business as the Corporation may require (whether or not such 
officer or agent is described in this Article V), each of whom shall hold 
office for such period, have such authority, and perform such duties as are 
provided in these Bylaws or as the board of directors may from time to time 
determine.  Any vacancy occurring in any office of the Corporation shall be 
filled by the board of directors or may be filled by the officer, if any, who 
appointed such officer.

       5.3     REMOVAL AND RESIGNATION OF OFFICERS

       Subject to the rights, if any, of an officer under any contract of 
employment, any officer may be removed, either with or without cause, by an 
affirmative vote of the majority of the board of directors at any regular or 
special meeting of the board or, except in the case of an officer chosen by 
the board of directors, by any officer upon whom such power of removal may be 
conferred by the board of directors or, in the case of an officer appointed 
by another officer, by such other officer.

       Any officer may resign at any time by giving written notice to the 
Corporation.  Any resignation shall take effect at the date of the receipt of 
that notice or at any later time specified in that notice; and, unless 
otherwise specified in that notice, the acceptance of the resignation shall 
not 

                                       -12-



be necessary to make it effective.  Any resignation is without prejudice to 
the rights, if any, of the Corporation under any contract to which the 
officer is a party.

       5.4     CHAIRMAN OF THE BOARD

       The chairman of the board, if such an officer be elected, shall, if 
present, preside at meetings of the board of directors and exercise and 
perform such other powers and duties as may from time to time be assigned to 
him by the board of directors or as may be prescribed by these Bylaws.  If 
there is no chief executive officer, then the chairman of the board shall 
also be the chief executive officer of the Corporation and shall have the 
powers and duties prescribed in Section 5.5 of these Bylaws.

       5.5     CHIEF EXECUTIVE OFFICER

       The Chief Executive Officer of the Corporation shall, subject to the 
control of the Board of Directors, have general supervision, direction and 
control of the business and the officers of the Corporation.  He or she shall 
preside at all meetings of the stockholders and, in the absence or 
nonexistence of a Chairman of the Board at all meetings of the Board of 
Directors.  He or she shall have the general powers and duties of management 
usually vested in the chief executive officer of a Corporation, including 
general supervision, direction and control of the business and supervision of 
other officers of the Corporation, and shall have such other powers and 
duties as may be prescribed by the Board of Directors or these Bylaws.

       The Chief Executive Officer shall, without limitation, have the 
authority to execute bonds, mortgages and other contracts requiring a seal, 
under the seal of the Corporation, except where required or permitted by law 
to be otherwise signed and executed and except where the signing and 
execution thereof shall be expressly delegated by the Board of Directors to 
some other officer or agent of the Corporation.

       5.6     PRESIDENT

       Subject to such supervisory powers as may be given by these Bylaws or 
the Board of Directors to the Chairman of the Board or the Chief Executive 
Officer, if there be such officers, the president shall have general 
supervision, direction and control of the business and supervision of other 
officers of the Corporation, and shall have such other powers and duties as 
may be prescribed by the Board of Directors or these Bylaws.  In the event a 
Chief Executive Officer shall not be appointed, the President shall have the 
duties of such office.

       5.7     VICE PRESIDENT

       In the absence or disability of the president, the vice presidents, if 
any, in order of their rank as fixed by the board of directors or, if not 
ranked, a vice president designated by the board of directors, shall perform 
all the duties of the chief executive officer and when so acting shall have 
all the powers of, and be subject to all the restrictions upon, the chief 
executive officer.  The vice presidents shall have such other powers and 
perform such other duties as from time to time may be 

                                       -13-



prescribed for them respectively by the board of directors, these Bylaws, the 
chief executive officer or the chairman of the board.

       5.8     SECRETARY

       The secretary shall keep or cause to be kept, at the principal 
executive office of the Corporation or such other place as the board of 
directors may direct, a book of minutes of all meetings and actions of 
directors, committees of directors, and stockholders.  The minutes shall show 
the time and place of each meeting, whether regular or special (and, if 
special, how authorized and the notice given), the names of those present at 
directors' meetings or committee meetings, the number of shares present or 
represented at stockholders' meetings, and the proceedings thereof.

       The secretary shall keep, or cause to be kept, at the principal 
executive office of the Corporation or at the office of the Corporation's 
transfer agent or registrar, as determined by resolution of the board of 
directors, a share register, or a duplicate share register, showing the names 
of all stockholders and their addresses, the number and classes of shares 
held by each, the number and date of certificates evidencing such shares, and 
the number and date of cancellation of every certificate surrendered for 
cancellation.

       The secretary shall give, or cause to be given, notice of all meetings 
of the stockholders and of the board of directors required to be given by law 
or by these Bylaws.  He shall keep the seal of the Corporation, if one be 
adopted, in safe custody and shall have such other powers and perform such 
other duties as may be prescribed by the board of directors or by these 
Bylaws.

       5.9     CHIEF FINANCIAL OFFICER

       The chief financial officer shall keep and maintain, or cause to be 
kept and maintained, adequate and correct books and records of accounts of 
the properties and business transactions of the Corporation, including 
accounts of its assets, liabilities, receipts, disbursements, gains, losses, 
capital, retained earnings and shares.  The books of account shall at all 
reasonable times be open to inspection by any director.

       The chief financial officer shall deposit all money and other 
valuables in the name and to the credit of the Corporation with such 
depositaries as may be designated by the board of directors.  He shall 
disburse the funds of the Corporation as may be ordered by the board of 
directors, shall render to the chief executive officer and directors, 
whenever they request it, an account of all of his transactions as treasurer 
and of the financial condition of the Corporation, and shall have such other 
powers and perform such other duties as may be prescribed by the board of 
directors or these Bylaws.

       5.10    ASSISTANT SECRETARY

       The assistant secretary, or, if there is more than one, the assistant 
secretaries in the order determined by the stockholders or board of directors 
(or if there be no such determination, then in the 

                                       -14-



order of their election) shall, in the absence of the secretary or in the 
event of his or her inability or refusal to act, perform the duties and 
exercise the powers of the secretary and shall perform such other duties and 
have such other powers as the board of directors or the stockholders may from 
time to time prescribe.

       5.11    AUTHORITY AND DUTIES OF OFFICERS

       In addition to the foregoing authority and duties, all officers of the 
Corporation shall respectively have such authority and perform such duties in 
the management of the business of the Corporation as may be designated from 
time to time by the board of directors or the stockholders.

                                     ARTICLE VI
                                          
                                     INDEMNITY

       6.1     INDEMNIFICATION OF DIRECTORS AND OFFICERS

       The Corporation shall, to the maximum extent and in the manner 
permitted by the General Corporation Law of Delaware, indemnify each of its 
directors and officers against expenses (including attorneys' fees), 
judgments, fines, settlements, and other amounts actually and reasonably 
incurred in connection with any proceeding, arising by reason of the fact 
that such person is or was an agent of the Corporation.  For purposes of this 
Section 6.1, a "director" or "officer" of the Corporation includes any person 
(i) who is or was a director or officer of the Corporation, (ii) who is or 
was serving at the request of the Corporation as a director or officer of 
another Corporation, partnership, joint venture, trust or other enterprise, 
or (iii) who was a director or officer of a Corporation which was a 
predecessor Corporation of the Corporation or of another enterprise at the 
request of such predecessor Corporation.

       6.2     INDEMNIFICATION OF OTHERS

       The Corporation shall have the power, to the extent and in the manner 
permitted by the General Corporation Law of Delaware, to indemnify each of 
its employees and agents (other than directors and officers) against expenses 
(including attorneys' fees), judgments, fines, settlements, and other amounts 
actually and reasonably incurred in connection with any proceeding, arising 
by reason of the fact that such person is or was an agent of the Corporation. 
 For purposes of this Section 6.2, an "employee" or "agent" of the 
Corporation (other than a director or officer) includes any person (i) who is 
or was an employee or agent of the Corporation, (ii) who is or was serving at 
the request of the Corporation as an employee or agent of another 
Corporation, partnership, joint venture, trust or other enterprise, or (iii) 
who was an employee or agent of a Corporation which was a predecessor 
Corporation of the Corporation or of another enterprise at the request of 
such predecessor Corporation.

                                       -15-



       6.3     INSURANCE

       The Corporation may purchase and maintain insurance on behalf of any 
person who is or was a director, officer, employee or agent of the 
Corporation, or is or was serving at the request of the Corporation as a 
director, officer, employee or agent of another Corporation, partnership, 
joint venture, trust or other enterprise against any liability asserted 
against him and incurred by him in any such capacity, or arising out of his 
status as such, whether or not the Corporation would have the power to 
indemnify him against such liability under the provisions of the General 
Corporation Law of Delaware.

                                    ARTICLE VII
                                          
                                RECORDS AND REPORTS

       7.1     MAINTENANCE AND INSPECTION OF RECORDS

       The Corporation shall, either at its principal executive office or at 
such place or places as designated by the board of directors, keep a record 
of its stockholders listing their names and addresses and the number and 
class of shares held by each stockholder, a copy of these Bylaws as amended 
to date, accounting books, and other records.

       Any stockholder of record, in person or by attorney or other agent, 
shall, upon written demand under oath stating the purpose thereof, have the 
right during the usual hours for business to inspect for any proper purpose 
the Corporation's stock ledger, a list of its stockholders, and its other 
books and records and to make copies or extracts therefrom.  A proper purpose 
shall mean a purpose reasonably related to such person's interest as a 
stockholder.  In every instance where an attorney or other agent is the 
person who seeks the right to inspection, the demand under oath shall be 
accompanied by a power of attorney or such other writing that authorizes the 
attorney or other agent to so act on behalf of the stockholder. The demand 
under oath shall be directed to the Corporation at its registered office in 
Delaware or at its principal place of business.

       7.2     INSPECTION BY DIRECTORS

       Any director shall have the right to examine the Corporation's stock 
ledger, a list of its stockholders and its other books and records for a 
purpose reasonably related to his position as a director.  The Court of 
Chancery is hereby vested with the exclusive jurisdiction to determine 
whether a director is entitled to the inspection sought. The Court may 
summarily order the Corporation to permit the director to inspect any and all 
books and records, the stock ledger, and the stock list and to make copies or 
extracts therefrom.  The Court may, in its discretion, prescribe any 
limitations or conditions with reference to the inspection, or award such 
other and further relief as the Court may deem just and proper.

                                       -16-



       7.3     REPRESENTATION OF SHARES OF OTHER CORPORATIONS

       The chairman of the board, the chief executive officer, any vice 
president, the chief financial officer, the secretary or assistant secretary 
of this Corporation, or any other person authorized by the board of directors 
or the chief executive officer or a vice president, is authorized to vote, 
represent, and exercise on behalf of this Corporation all rights incident to 
any and all shares of any other Corporation or Corporations standing in the 
name of this Corporation.  The authority granted herein may be exercised 
either by such person directly or by any other person authorized to do so by 
proxy or power of attorney duly executed by such person having the authority.

                                          
                                    ARTICLE VIII
                                          
                                  GENERAL MATTERS

       8.1     CHECKS

       From time to time, the board of directors shall determine by 
resolution which person or persons may sign or endorse all checks, drafts, 
other orders for payment of money, notes or other evidences of indebtedness 
that are issued in the name of or payable to the Corporation, and only the 
persons so authorized shall sign or endorse those instruments.

       8.2     EXECUTION OF CORPORATE CONTRACTS AND INSTRUMENTS

       The board of directors, except as otherwise provided in these Bylaws, 
may authorize any officer or officers, or agent or agents, to enter into any 
contract or execute any instrument in the name of and on behalf of the 
Corporation; such authority may be general or confined to specific instances. 
Unless so authorized or ratified by the board of directors or within the 
agency power of an officer, no officer, agent or employee shall have any 
power or authority to bind the Corporation by any contract or engagement or 
to pledge its credit or to render it liable for any purpose or for any amount.
        
       8.3     STOCK CERTIFICATES; PARTLY PAID SHARES 

       The shares of a Corporation shall be represented by certificates, 
provided that the board of directors of the Corporation may provide by 
resolution or resolutions that some or all of any or all classes or series of 
its stock shall be uncertificated shares.  Any such resolution shall not 
apply to shares represented by a certificate until such certificate is 
surrendered to the Corporation.  Notwithstanding the adoption of such a 
resolution by the board of directors, every holder of stock represented by 
certificates and upon request every holder of uncertificated shares shall be 
entitled to have a certificate signed by, or in the name of the Corporation 
by the chairman or vice-chairman of the board of directors, or the president 
or vice-president, and by the treasurer or an assistant treasurer, or the 
secretary or an assistant secretary of such Corporation representing the 
number of shares registered in certificate form. Any or all of the signatures 
on the certificate may be a facsimile.  In case 

                                       -17-



any officer, transfer agent or registrar who has signed or whose facsimile 
signature has been placed upon a certificate has ceased to be such officer, 
transfer agent or registrar before such certificate is issued, it may be 
issued by the Corporation with the same effect as if he were such officer, 
transfer agent or registrar at the date of issue.

       The Corporation may issue the whole or any part of its shares as 
partly paid and subject to call for the remainder of the consideration to be 
paid therefor.  Upon the face or back of each stock certificate issued to 
represent any such partly paid shares, upon the books and records of the 
Corporation in the case of uncertificated partly paid shares, the total 
amount of the consideration to be paid therefor and the amount paid thereon 
shall be stated. Upon the declaration of any dividend on fully paid shares, 
the Corporation shall declare a dividend upon partly paid shares of the same 
class, but only upon the basis of the percentage of the consideration 
actually paid thereon.

       8.4     SPECIAL DESIGNATION ON CERTIFICATES

       If the Corporation is authorized to issue more than one class of stock 
or more than one series of any class, then the powers, the designations, the 
preferences, and the relative, participating, optional or other special 
rights of each class of stock or series thereof and the qualifications, 
limitations or restrictions of such preferences and/or rights shall be set 
forth in full or summarized on the face or back of the certificate that the 
Corporation shall issue to represent such class or series of stock; provided, 
however, that, except as otherwise provided in Section 202 of the General 
Corporation Law of Delaware, in lieu of the foregoing requirements there may 
be set forth on the face or back of the certificate that the Corporation 
shall issue to represent such class or series of stock a statement that the 
Corporation will furnish without charge to each stockholder who so requests 
the powers, the designations, the preferences, and the relative, 
participating, optional or other special rights of each class of stock or 
series thereof and the qualifications, limitations or restrictions of such 
preferences and/or rights.

       8.5     LOST CERTIFICATES

       Except as provided in this Section 8.5, no new certificates for shares 
shall be issued to replace a previously issued certificate unless the latter 
is surrendered to the Corporation and cancelled at the same time.  The 
Corporation may issue a new certificate of stock or uncertificated shares in 
the place of any certificate theretofore issued by it, alleged to have been 
lost, stolen or destroyed, and the Corporation may require the owner of the 
lost, stolen or destroyed certificate, or his legal representative, to give 
the Corporation a bond sufficient to indemnify it against any claim that may 
be made against it on account of the alleged loss, theft or destruction of 
any such certificate or the issuance of such new certificate or 
uncertificated shares.

       8.6     CONSTRUCTION; DEFINITIONS

       Unless the context requires otherwise, the general provisions, rules 
of construction, and definitions in the Delaware General Corporation Law 
shall govern the construction of these Bylaws.  Without limiting the 
generality of this provision, the singular number includes the plural, the 
plural 

                                       -18-



number includes the singular, and the term "person" includes both a 
Corporation and a natural person.

       8.7     DIVIDENDS

       The directors of the Corporation, subject to any restrictions 
contained in the certificate of incorporation, may declare and pay dividends 
upon the shares of its capital stock pursuant to the General Corporation Law 
of Delaware. Dividends may be paid in cash, in property, or in shares of the 
Corporation's capital stock.

       The directors of the Corporation may set apart out of any of the funds 
of the Corporation available for dividends a reserve or reserves for any 
proper purpose and may abolish any such reserve. Such purposes shall include 
but not be limited to equalizing dividends, repairing or maintaining any 
property of the Corporation, and meeting contingencies.

       8.8     FISCAL YEAR

       The fiscal year of the Corporation shall be fixed by resolution of the 
board of directors and may be changed by the board of directors.

       8.9     SEAL

       The Corporation may adopt a corporate seal, which may be altered at 
pleasure, and may use the same by causing it or a facsimile thereof to be 
impressed or affixed or in any other manner reproduced.

       8.10    TRANSFER OF STOCK

       Upon surrender to the Corporation or the transfer agent of the 
Corporation of a certificate for shares duly endorsed or accompanied by 
proper evidence of succession, assignation or authority to transfer, it shall 
be the duty of the Corporation to issue a new certificate to the person 
entitled thereto, cancel the old certificate, and record the transaction in 
its books.

       8.11    STOCK TRANSFER AGREEMENTS

       The Corporation shall have power to enter into and perform any 
agreement with any number of stockholders of any one or more classes of stock 
of the Corporation to restrict the transfer of shares of stock of the 
Corporation of any one or more classes owned by such stockholders in any 
manner not prohibited by the General Corporation Law of Delaware.

       8.12    REGISTERED STOCKHOLDERS

       The Corporation shall be entitled to recognize the exclusive right of 
a person registered on its books as the owner of shares to receive dividends 
and to vote as such owner, shall be entitled to hold 

                                       -19-



liable for calls and assessments the person registered on its books as the 
owner of shares, and shall not be bound to recognize any equitable or other 
claim to or interest in such share or shares on the part of another person, 
whether or not it shall have express or other notice thereof, except as 
otherwise provided by the laws of Delaware.

                                     ARTICLE IX
                                          
                                     AMENDMENTS

       The original or other Bylaws of the Corporation may be adopted, 
amended or repealed by the stockholders entitled to vote; provided, however, 
that the Corporation may, in its certificate of incorporation, confer the 
power to adopt, amend or repeal Bylaws upon the directors.  The fact that 
such power has been so conferred upon the directors shall not divest the 
stockholders of the power, nor limit their power to adopt, amend or repeal 
Bylaws.

                                     ARTICLE X
                                          
                                    DISSOLUTION

       If it should be deemed advisable in the judgment of the board of 
directors of the Corporation that the Corporation should be dissolved, the 
board, after the adoption of a resolution to that effect by a majority of the 
whole board at any meeting called for that purpose, shall cause notice to be 
mailed to each stockholder entitled to vote thereon of the adoption of the 
resolution and of a meeting of stockholders to take action upon the 
resolution.

       At the meeting a vote shall be taken for and against the proposed 
dissolution.  If a majority of the outstanding stock of the Corporation 
entitled to vote thereon votes for the proposed dissolution, then a 
certificate stating that the dissolution has been authorized in accordance 
with the provisions of Section 275 of the General Corporation Law of Delaware 
and setting forth the names and residences of the directors and officers 
shall be executed, acknowledged, and filed and shall become effective in 
accordance with Section 103 of the General Corporation Law of Delaware.  Upon 
such certificate's becoming effective in accordance with Section 103 of the 
General Corporation Law of Delaware, the Corporation shall be dissolved.

                                       -20-



                                     ARTICLE XI
                                          
                                     CUSTODIAN

       11.1    APPOINTMENT OF A CUSTODIAN IN CERTAIN CASES

       The Court of Chancery, upon application of any stockholder, may 
appoint one or more persons to be custodians and, if the Corporation is 
insolvent, to be receivers, of and for the Corporation when:

       (i)     at any meeting held for the election of directors the 
stockholders are so divided that they have failed to elect successors to 
directors whose terms have expired or would have expired upon qualification 
of their successors; or

       (ii)    the business of the Corporation is suffering or is threatened 
with irreparable injury because the directors are so divided respecting the 
management of the affairs of the Corporation that the required vote for 
action by the board of directors cannot be obtained and the stockholders are 
unable to terminate this division; or

       (iii)   the Corporation has abandoned its business and has failed 
within a reasonable time to take steps to dissolve, liquidate or distribute 
its assets.

       11.2    DUTIES OF CUSTODIAN

       The custodian shall have all the powers and title of a receiver 
appointed under Section 291 of the General Corporation Law of Delaware, but 
the authority of the custodian shall be to continue the business of the 
Corporation and not to liquidate its affairs and distribute its assets, 
except when the Court of Chancery otherwise orders and except in cases 
arising under Sections 226(a)(3) or 352(a)(2) of the General Corporation Law 
of Delaware.

                                       -21-



                              CERTIFICATE OF SECRETARY

       The undersigned, Secretary of QUICKTURN DESIGN SYSTEMS, INC., a 
Delaware Corporation, hereby certifies that the foregoing is a full, true and 
correct copy of the Bylaws of said Corporation, with all amendments to date 
of this Certificate.

       The undersigned hereby certifies that such Bylaws were duly approved 
by the Board of Directors of the Corporation at a meeting held on October 15, 
1993.

       WITNESS the signature of the undersigned and the seal of the 
Corporation this 15th day of October, 1993.

                                       /s/ Raymond K. Ostby
                                       ----------------------------------------
                                       Raymond K. Ostby, Secretary


                                       -22-