<PAGE>

                                                                     EXHIBIT 3.3

                                    BYLAWS

                                      OF

                           CHORUM TECHNOLOGIES INC.



                                   ARTICLE I

                                    OFFICES
                                    -------

          Section 1. The registered office shall be in the City of Dover, County
of Kent, State of Delaware.

          Section 2. The corporation may also have offices at such other places
both within and without the State of Delaware as the Board of Directors may from
time to time determine or the business of the corporation may require.

                                  ARTICLE II

                           MEETINGS OF STOCKHOLDERS
                           ------------------------

          Section 1. All meetings of the stockholders for the election of
directors shall be held in the city of Boulder, State of Colorado, at such place
as may be fixed from time to time by the Board of Directors, or at such other
place either within or without the State of Delaware as shall be designated from
time to time by the Board of Directors and stated in the notice of the meeting.
Meetings of stockholders for any other purpose may be held at such time and
place, within or without the State of Delaware, as shall be stated in the notice
of the meeting or in a duly executed waiver of notice thereof.

          Section 2. Annual meetings of stockholders, commencing with the year
1997, shall be held at such date and time as shall be designated from time to
time by the Board of Directors and stated in the notice of the meeting, at which
they shall elect by a plurality vote a
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board of directors, and transact such other business as may properly be brought
before the meeting.

          Section 3. Written notice of the annual meeting stating the place,
date and hour of the meeting shall be given to each stockholder entitled to vote
at such meeting not fewer than ten (10) nor more than sixty (60) days before the
date of the meeting .

          Section 4. The officer who has charge of the stock ledger of the
corporation shall prepare and make, at least ten 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
ten 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 list 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.

          Section 5. Special meetings of the stockholders, for any purpose or
purposes, unless otherwise prescribed by statute or by the certificate of
incorporation, may be called by the president and shall be called by the
president or secretary at the request in writing of a majority of the Board of
Directors, or at the request in writing of stockholders owning at least ten
percent (10%) in amount of the entire capital stock of the corporation issued
and outstanding and entitled to vote. Such request shall state the purpose or
purposes of the proposed meeting.

          Section 6. Written notice of a special meeting stating the place, date
and hour of the meeting and the purpose or purposes for which the meeting is
called, shall be given not fewer

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than ten (10) nor more than sixty (60) days before the date of the meeting, to
each stockholder entitled to vote at such meeting.

          Section 7.  Business transacted at any special meeting of stockholders
shall be limited to the purposes stated in the notice.

          Section 8.  The holders of fifty percent (50%) 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 shall not be present or
represented at any meeting of the stockholders, 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 shall be present or represented. At such adjourned
meeting at which a quorum shall be present or represented, any business may be
transacted which might have been transacted at the meeting as originally
notified. If the adjournment is for more than thirty 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.

          Section 9.  When a quorum is present 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 provision of the 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 such question.

          Section 10. Unless otherwise provided in the certificate of
incorporation, each stockholder shall at every meeting of the stockholders be
entitled to one vote in person or by

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proxy for each share of the capital stock having voting power held by such
stockholder, but no proxy shall be voted on after three years from its date,
unless the proxy provides for a longer period.

          Section 11. Unless otherwise provided in the certificate of
incorporation, any action required to be taken at any annual or special meeting
of stockholders of the corporation, or any action which 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, shall be 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. 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.

                                  ARTICLE III

                                   DIRECTORS
                                   ---------

          Section 1.  The number of directors which shall constitute the whole
board shall be determined by resolution of the Board of Directors or by the
stockholders at the annual meeting of the stockholders, except as provided in
Section 2 of this Article, and each director elected shall hold office until his
or her successor is elected and qualified. Directors need not be stockholders.

          Section 2.  Vacancies and new created directorships resulting from any
increase in the authorized number of directors may be filled by a majority of
the directors then in office, though less than a quorum, or by a sole remaining
director, and the directors so chosen shall hold office until the next annual
election and until their successors are duly elected and shall qualify, unless
sooner displaced. If there are no directors in office, then an election of
directors may be

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held in the manner provided by statute. If, at the time of filling any vacancy
or any newly created directorship, the directors then in office shall constitute
less than a majority of the whole board (as constituted immediately prior to any
such increase), the Court of Chancery may, upon application of any stockholder
or stockholders holding at least ten percent (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.

          Section 3.  The business of the corporation shall be managed by or
under the direction of its board of directors which may exercise all such powers
of the corporation and do all such lawful acts and things as are not by statute
or by the certificate of incorporation or by these bylaws directed or required
to be exercised or done by the stockholders.

                      MEETINGS OF THE BOARD OF DIRECTORS
                      ----------------------------------

          Section 4.  The Board of Directors of the corporation may hold
meetings, both regular and special, either within or without the State of
Delaware.

          Section 5.  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.

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          Section 6.  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.

          Section 7.  Special meetings of the board may be called by the
president on two (2) days' notice to each director by mail or forty-eight (48)
hours notice to each director either personally or by facsimile; special
meetings shall be called by the president or secretary in like manner and on
like notice on the written request of two (2) directors unless the board
consists of only one director, in which case special meetings shall be called by
the president or secretary in like manner and on like notice on the written
request of the sole director.

          Section 8.  At all meetings of the board a majority of the 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. If a
quorum shall not be present at any meeting of the Board of Directors, the
directors present thereat may adjourn the meeting from time to time, without
notice other than announcement at the meeting, until a quorum shall be present.

          Section 9.  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.

          Section 10. 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

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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.

                            COMMITTEES OF DIRECTORS
                            -----------------------

          Section 11. The Board of Directors may, by resolution passed by a
majority of the whole board, designate one or more committees, 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 she 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, 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 which may require it; but no such committee shall have the power or
authority in reference to amending the certificate of incorporation, adopting an
agreement of merger or consolidation, recommending to the stockholders the sale,
lease or exchange of all or substantially all of the corporation's property and
assets, recommending to the stockholders a dissolution of the corporation or a
revocation of a dissolution, or amending the bylaws of the corporation; and,
unless the resolution or the certificate of incorporation expressly so provide,
no such committee shall have the power or authority to declare a dividend or to

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authorize the issuance of stock. Such committee or committees shall have such
name or names as may be determined from time to time by resolution adopted by
the Board of Directors.

          Section 12. Each committee shall keep regular minutes of its meetings
and report the same to the Board of Directors when required.

                           COMPENSATION OF DIRECTORS
                           -------------------------

          Section 13. 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.

                             REMOVAL OF DIRECTORS
                             --------------------

          Section 14. Unless otherwise restricted by the certificate of
incorporation or these bylaws, any director or the entire Board of Directors may
be removed, with or without cause, by the holders of a majority of shares
entitled to vote at an election of directors.

                                  ARTICLE IV

                                    NOTICES
                                    -------
          Section 1.  Whenever, under the provisions of the statutes or of the
certificate of incorporation or of these bylaws, notice is required to be given
to any director or stockholder, it shall not be construed to mean personal
notice, but such notice may be given in writing, by mail, addressed to such
director or stockholder, at his or her address as it appears on the records of
the corporation, with postage thereon prepaid, and such notice shall be deemed
to be given at the

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time when the same shall be deposited in the United States mail. Notice to
directors may also be given by telegram.

          Section 2.  Whenever any notice is required to be given under the
provisions of the statutes or of the certificate of incorporation or of these
bylaws, a waiver thereof in writing, signed by the person or persons entitled to
said notice, whether before or after the time stated therein, shall be deemed
equivalent thereto.

                                   ARTICLE V

                                   OFFICERS
                                   --------

          Section 1.  The officers of the corporation shall be chosen by the
Board of Directors and shall be a president, treasurer and a secretary. The
Board of Directors may elect from among its members a Chairman of the Board and
a Vice Chairman of the Board. The Board of Directors may also choose one or more
vice-presidents, assistant secretaries and assistant treasurers. Any number of
offices may be held by the same person, unless the certificate of incorporation
or these bylaws otherwise provide.

          Section 2.  The Board of Directors at its first meeting after each
annual meeting of stockholders shall choose a president, a treasurer, and a
secretary and may choose vice presidents.

          Section 3.  The Board of Directors may appoint such other officers and
agents as it shall deem necessary who shall hold their offices for such terms
and shall exercise such powers and perform such duties as shall be determined
from time to time by the board.

          Section 4.  The salaries of all officers and agents of the corporation
shall be fixed by the Board of Directors.

          Section 5.  The officers of the corporation shall hold office until
their successors are chosen and qualify. Any officer elected or appointed by the
Board of Directors may be

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removed at any time by the affirmative vote of a majority of the Board of
Directors. Any vacancy occurring in any office of the corporation shall be
filled by the Board of Directors.

                           THE CHAIRMAN OF THE BOARD
                           -------------------------

          Section 6.  The Chairman of the Board, if any, shall preside at all
meetings of the Board of Directors and of the stockholders at which he or she
shall be present. He or she shall have and may exercise such powers as are, from
time to time, assigned to him by the board and as may be provided by law.

          Section 7.  In the absence of the Chairman of the Board, the Vice
Chairman of the Board, if any, shall preside at all meetings of the Board of
Directors and of the stockholders at which he or she shall be present. He or she
shall have and may exercise such powers as are, from time to time, assigned to
him by the board and as may be provided by law.

                       THE PRESIDENT AND VICE-PRESIDENTS
                       ---------------------------------

          Section 8.  The president shall be the chief executive officer of the
corporation; and in the absence of the Chairman and Vice Chairman of the Board
he or she shall preside at all meetings of the stockholders and the Board of
Directors; he or she shall have general and active management of the business of
the corporation and shall see that all orders and resolutions of the Board of
Directors are carried into effect.

          Section 9.  He or she shall 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.

          Section 10. In the absence of the president or in the event of his or
her inability or refusal to act, the vice-president, if any, (or in the event
there be more than one vice-president,

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the vice-presidents in the order designated by the directors, or in the absence
of any designation, then in the order of their election) shall perform the
duties of the president, and when so acting, shall have all the powers of and be
subject to all the restrictions upon the president. The vice-presidents shall
perform such other duties and have such other powers as the Board of Directors
may from time to time prescribe.

                     THE SECRETARY AND ASSISTANT SECRETARY
                     -------------------------------------

          Section 11. The secretary shall attend all meetings of the Board of
Directors and all meetings of the stockholders and record all the proceedings of
the meetings of the corporation and of the Board of Directors in a book to be
kept for that purpose and shall perform like duties for the standing committees
when required. She shall give, or cause to be given, notice of all meetings of
the stockholders and special meetings of the Board of Directors, and shall
perform such other duties as may be prescribed by the Board of Directors or
president, under whose supervision she shall be. She shall have custody of the
corporate seal of the corporation and she, or an assistant secretary, shall have
authority to affix the same to any instrument requiring it and when so affixed,
it may be attested by her signature or by the signature of such assistant
secretary. The Board of Directors may give general authority to any other
officer to affix the seal of the corporation and to attest the affixing by her
signature.

          Section 12. The assistant secretary, or if there be more than one, the
assistant secretaries in the order determined by the Board of Directors (or if
there be no such determination, then in the order of their election) shall, in
the absence of the secretary or in the event of 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 may from
time to time prescribe.

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                    THE TREASURER AND ASSISTANT TREASURERS
                    --------------------------------------

     Section 13. The treasurer shall have the custody of the corporate funds and
securities and shall keep full and accurate accounts of receipts and
disbursements in books belonging to the corporation and shall deposit all moneys
and other valuable effects in the name and to the credit of the corporation in
such depositories as may be designated by the Board of Directors.

     Section 14. He or she shall disburse the funds of the corporation as may be
ordered by the Board of Directors, taking proper vouchers for such
disbursements, and shall render to the president and the Board of Directors, at
its regular meetings, or when the Board of Directors so requires, an account of
all his or her transactions as treasurer and of the financial condition of the
corporation.

     Section 15. If required by the Board of Directors, he or she shall give the
corporation a bond (which shall be renewed every six years) in such sum and with
such surety or sureties as shall be satisfactory to the Board of Directors for
the faithful performance of the duties of his or her office and for the
restoration to the corporation, in case of his or her death, resignation,
retirement or removal from office, of all books, papers, vouchers, money and
other property of whatever kind in his or her possession or under his or her
control belonging to the corporation.

     Section 16. The assistant treasurer, or if there shall be more than one,
the assistant treasurers in the order determined by the Board of Directors (or
if there be no such determination, then in the order of their election) shall,
in the absence of the treasurer or in the event of his or her inability or
refusal to act, perform the duties and exercise the powers of the treasurer and

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shall perform such other duties and have such other powers as the Board of
Directors may from time to time prescribe.

                                  ARTICLE VI

                             CERTIFICATE OF STOCK
                             --------------------

          Section 1. Every holder of stock in the corporation 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 a vice-
president and the treasurer or an assistant treasurer, or the secretary or an
assistant secretary of the corporation, certifying the number of shares owned by
him or her in the corporation.

          Certificates may be issued for partly paid shares and in such case
upon the face or back of the certificates issued to represent any such partly
paid shares, the total amount of the consideration to be paid therefor, and the
amount paid thereon shall be specified.

          If the corporation shall be authorized to issue more than one class of
stock or more than one series of any class, the powers, designations,
preferences and relative, participating, optional or other special rights of
each class of stock or series thereof and the qualification, 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 which the corporation shall
issue to represent such class or series of stock, provided 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 which 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, designations, preferences and
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.

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     Section 2. Any of or all the signatures on the certificate may be
facsimile. In case any officer, transfer agent or registrar who has signed or
whose facsimile signature has been placed upon a certificate shall have 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 or she
were such officer, transfer agent or registrar at the date of issue.

                               LOST CERTIFICATES
                               -----------------

     Section 3. The Board of Directors may direct a new certificate or
certificates to be issued in place of any certificate or certificates
theretofore issued by the corporation alleged to have been lost, stolen or
destroyed, upon the making of an affidavit of that fact by the person claiming
the certificate of stock to be lost, stolen or destroyed. When authorizing such
issue of a new certificate or certificates, the Board of Directors may, in its
discretion and as a condition precedent to the issuance thereof, require the
owner of such lost, stolen or destroyed certificate or certificates, or his or
her legal representative, to advertise the same in such manner as it shall
require and/or to give the corporation a bond in such sum as it may direct as
indemnity against any claim that may be made against the corporation with
respect to the certificate alleged to have been lost, stolen or destroyed.

                               TRANSFER OF STOCK
                               -----------------

     Section 4. 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 upon its books.

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                               FIXING RECORD DATE
                               ------------------

     Section 5. In order that the corporation may determine the stockholders
entitled to notice of or to vote at any meeting of stockholder or any
adjournment thereof, or 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 sixty nor less than ten days before the date of
such meeting, nor more than sixty days prior to any other action. 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.

                            REGISTERED STOCKHOLDERS
                            -----------------------

     Section 6. 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, and to hold liable for calls and
assessments a 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 any other person, whether or not it shall have
express or other notice thereof, except as otherwise provided by the laws of
Delaware.

                                  ARTICLE VII

                              GENERAL PROVISIONS

                                   DIVIDENDS
                                   ---------

     Section 1. Dividends upon the capital stock of the corporation, subject to
the provisions of the certificate of incorporation, if any, may be declared by
the Board of Directors at

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any regular or special meeting, pursuant to law. Dividends may be paid in cash,
in property, or in shares of the capital stock, subject to the provisions of the
certificate of incorporation.

     Section 2. Before payment of any dividend, there may be set aside out of
any funds of the corporation available for dividends such sum or sums as the
directors from time to time, in their absolute discretion, think proper as a
reserve or reserves to meet contingencies, or for equalizing dividends, or for
repairing or maintaining any property of the corporation, or for such other
purposes as the directors shall think conducive to the interest of the
corporation, and the directors may modify or abolish any such reserve in the
manner in which it was created.

                                     CHECKS
                                     ------

     Section 3. All checks or demands for money and notes of the corporation
shall be signed by such officer or officers or such other person or persons as
the Board of Directors may from time to time designate.

                                  FISCAL YEAR
                                  -----------

     Section 4. The fiscal year of the corporation shall be fixed by resolution
of the Board of Directors.

                                      SEAL
                                      ----

     Section 5. The Board of Directors may adopt a corporate seal having
inscribed thereon the name of the corporation, the year of its organization and
the words "Corporate Seal, Delaware". The seal may be used by causing it or a
facsimile thereof to be impressed or affixed or reproduced or otherwise.

                                INDEMNIFICATION
                                ---------------

     Section 6. The corporation shall, to the fullest extent authorized under
the laws of the State of Delaware, as those laws may be amended and supplemented
from time to time,

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indemnify any director made, or threatened to be made, a party to an action or
proceeding, whether criminal, civil, administrative or investigative, by reason
of being a director of the corporation or a predecessor corporation or, at the
corporation's request, a director or officer of another corporation, provided,
however, that the corporation shall indemnify any such agent in connection with
a proceeding initiated by such agent only if such proceeding was authorized by
the Board of Directors of the corporation. The indemnification provided for in
this Section 6 shall: (i) not be deemed exclusive of any other rights to which
those indemnified may be entitled under any bylaw, agreement or vote of
stockholders or disinterested directors or otherwise, both as to action in their
official capacities and as to action in another capacity while holding such
office, (ii) continue as to a person who has ceased to be a director, and (iii)
inure to the benefit of the heirs, executors and administrators of such a
person. The corporation's obligation to provide indemnification under this
Section 6 shall be offset to the extent of any other source of indemnification
or any otherwise applicable insurance coverage under a policy maintained by the
corporation or any other person.

          Expenses incurred by a director of the corporation in defending a
civil or criminal action, suit or proceeding by reason of the fact that he or
she is or was a director of the corporation (or was serving at the corporation's
request as a director or officer of another corporation) shall be paid by the
corporation in advance of the final disposition of such action, suit or
proceeding upon receipt of an undertaking by or on behalf of such director to
repay such amount if it shall ultimately be determined that he or she is not
entitled to be indemnified by the corporation as authorized by relevant sections
of the General Corporation Law of Delaware.  Notwithstanding the foregoing, the
corporation shall not be required to advance such expenses to an agent who is a
party to an action, suit or proceeding brought by the corporation and approved

                                       17
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by a majority of the Board of Directors of the corporation which alleges willful
misappropriation of corporate assets by such agent, disclosure of confidential
information in violation of such agent's fiduciary or contractual obligations to
the corporation or any other willful and deliberate breach in bad faith of such
agent's duty to the corporation or its stockholders.

          The foregoing provisions of this Section 6 shall be deemed to be a
contract between the corporation and each director who serves in such capacity
at any time while this bylaw is in effect, and any repeal or modification
thereof shall not affect any rights or obligations then existing with respect to
any state of facts then or theretofore existing or any action, suit or
proceeding theretofore or thereafter brought based in whole or in part upon any
such state of facts.

          The Board of Directors in its discretion shall have power on behalf of
the corporation to indemnify any person, other than a director, made a party to
any action, suit or proceeding by reason of the fact that he or she, his or her
testator or intestate, is or was an officer or employee of the corporation.

          To assure indemnification under this Section 6 of all directors,
officers and employees who are determined by the corporation or otherwise to be
or to have been "fiduciaries" of any employee benefit plan of the corporation
which may exist from time to time, Section 145 of the General Corporation Law of
Delaware shall, for the purposes of this Section 6, be interpreted as follows:
an "other enterprise" shall be deemed to include such an employee benefit plan,
including without limitation, any plan of the corporation which is governed by
the Act of Congress entitled "Employee Retirement Income Security Act of 1974,"
as amended from time to time; the corporation shall be deemed to have requested
a person to serve an employee benefit plan where the performance by such person
of his or her duties to the corporation also

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imposes duties on, or otherwise involves services by, such person to the plan or
participants or beneficiaries of the plan; excise taxes assessed on a person
with respect to an employee benefit plan pursuant to such Act of Congress shall
be deemed "fines."

                                 ARTICLE VIII

                                  AMENDMENTS
                                  ----------

     Section 1. These bylaws may be altered, amended or repealed or new bylaws
may be adopted by the stockholders or by the Board of Directors, when such power
is conferred upon the Board of Directors by the certificate of incorporation at
any regular meeting of the stockholders or of the Board of Directors or at any
special meeting of the stockholders or of the Board of Directors if notice of
such alteration, amendment, repeal or adoption of new bylaws be contained in the
notice of such special meeting. If the power to adopt, amend or repeal bylaws is
conferred upon the Board of Directors by the certificate or incorporation it
shall not divest or limit the power of the stockholders to adopt, amend or
repeal bylaws.

                                       19
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                          CERTIFICATE OF SECRETARY OF

                       MACRO-VISION COMMUNICATIONS, INC.

          The undersigned, Kuang-Yi Wu, hereby certifies that he is the duly
elected and acting Secretary of Macro-Vision Communications, Inc., a Delaware
corporation (the "Corporation"), and that the Bylaws attached hereto constitute
the Bylaws of said Corporation as duly adopted by Action by Written Consent in
Lieu of Organizational Meeting by the Sole Director on September 10, 1997.

          IN WITNESS WHEREOF, the undersigned has hereunto subscribed his name
this 10th day of September 1997.

                                                 /s/ Kuang-Yi Wu
                                                 -------------------------------
                                                 Kuang-Yi Wu
                                                 Secretary