EXHIBIT 3(c)
 
                          TESORO PETROLEUM CORPORATION
                           CERTIFICATE OF DESIGNATION
                            ESTABLISHING A SERIES OF
                  $2.20 CUMULATIVE CONVERTIBLE PREFERRED STOCK
 
    Tesoro Petroleum Corporation, a corporation organized and existing under the
General Corporation Law of the State of Delaware, pursuant to the requirements
of Section 151(g) of said General Corporation Law, DOES HEREBY CERTIFY:
 
    FIRST:  That, pursuant to authority conferred upon the Board of Directors by
the Certificate of Incorporation (as amended) of said corporation, and pursuant
to the provisions of Section 151(g) of the General Corporation Law, said Board
of Directors, at a meeting duly held on January 26, 1983, adopted a resolution
providing for the voting powers, designations, preferences and relative,
participating, optional or other special rights of the $2.20 Cumulative
Convertible Preferred Stock, which resolution is as follows:
 
        RESOLVED, that pursuant to the authority vested in the Board of
    Directors of this Corporation in accordance with the provisions of its
    Certificate of Incorporation, a series of Preferred Stock of the Corporation
    is hereby created, such series of Preferred Stock to be designated the $2.20
    Convertible Preferred Stock, to consist of 2,875,000 shares of the stated
    value of one dollar ($1.00) each, of which the voting powers, designations,
    preferences and relative, participating, optional or other special rights,
    and the qualifications, limitations or restrictions thereof, shall be as
    follows:
 
    1.  DESIGNATION OF SERIES AND NUMBER OF SHARES.
 
        This series of Preferred Stock is designated '$2.20 Cumulative
    Convertible Preferred Stock' (hereinafter referred to as '$2.20 Preferred
    Stock'), and the number of shares which shall constitute such series shall
    be 2,875,000 shares of a stated value of $1.00 per share, which number may
    not be increased but may be decreased (but not below the number thereof then
    outstanding) from time to time by the Board of Directors.
 
    2.  DIVIDENDS.
 
        Shares of $2.20 Preferred Stock shall rank on a parity as to dividends
    with shares of 8% Convertible Preferred Stock of the Corporation
    (hereinafter referred to as '8% Preferred Stock') and shares of $2.16
    Cumulative Convertible Preferred Stock (hereinafter referred to as '$2.16
    Preferred Stock'). The holders of $2.20 Preferred Stock shall be entitled to
    receive, as and when declared by the Board of Directors and out of assets of
    the Corporation which are by law available for payment of dividends,
    cumulative preferential cash dividends, at, but not exceeding, the rate of
    $2.20 per share per annum, payable quarterly on May 15, August 15, November
    15, and February 15, in each year, accruing from the date on which
    respective shares of $2.20 Preferred Stock shall be issued. So long as any
    $2.20 Preferred Stock shall remain outstanding, no dividend whatsoever shall
    be declared or paid upon or set apart for any class of stock or series
    thereof ranking junior to $2.20 Preferred Stock in the payment of dividends
    nor shall any shares of any class of stock or series thereof ranking junior
    to or on a parity with $2.20 Preferred Stock in payment of dividends be
    redeemed or purchased by the Corporation or any subsidiary thereof nor shall
    any moneys be paid to or made available for a sinking fund for redemption or
    purchase of any shares of any class of stock or series thereof ranking
    junior to or on a parity with $2.20 Preferred Stock in payment of dividends,
    unless in each instance full dividends on all outstanding shares of $2.20
    Preferred Stock for all past dividend periods shall have been paid at the
    rate fixed therefor and the dividends on all outstanding shares of $2.20
    Preferred Stock for the then current quarterly dividend period shall have
    been paid or declared
 
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    and sufficient funds set aside for payment thereof. Accumulations of
    dividends on any shares of $2.20 Preferred Stock shall not bear interest.
 
        No dividend shall be paid upon or declared or set apart for (a) any
    share of $2.20 Preferred Stock for any dividend period unless at the same
    time (i) a like proportionate dividend for the same dividend period shall be
    paid upon or declared or set apart for all shares of $2.20 Preferred Stock
    then outstanding and entitled to receive such dividend and (ii) there shall
    have been paid upon or declared or set aside for all shares of 8% Preferred
    Stock, $2.16 Preferred Stock and for all shares of Preferred Stock of all
    other series or of any other class of stock or series thereof, if any, then
    outstanding and ranking on a parity with $2.20 Preferred Stock in respect of
    payment of dividends, for the same dividend period as the dividend period of
    the $2.20 Preferred Stock, or for the respective dividend periods of 8%
    Preferred Stock, $2.16 Preferred Stock and said parity stock terminating
    within the dividend period of the $2.20 Preferred Stock, dividends in
    proportion to the respective dividend rates fixed for the 8% Preferred
    Stock, $2.16 Preferred Stock and said parity stock; and (b) any shares of 8%
    Preferred Stock, $2.16 Preferred Stock or other series of Preferred Stock or
    other class of stock or series thereof, if any, ranking on a parity with
    $2.20 Preferred Stock in respect of payment of dividends for any dividend
    period unless there shall have been paid upon or declared or set apart for
    all shares then outstanding of $2.20 Preferred Stock, for the same dividend
    period, or for the dividend period of the $2.20 Preferred Stock terminating
    within the dividend period of said parity stock, dividends in proportion to
    the respective dividend rates fixed for $2.20 Preferred Stock and said
    parity stock.
 
    3.  LIQUIDATION.
 
        Shares of $2.20 Preferred Stock shall rank on a parity with shares of 8%
    Preferred Stock and $2.16 Preferred Stock as to distribution of assets in
    the event of any liquidation, dissolution or winding up of the affairs of
    the Corporation. In the event of any such liquidation, dissolution or
    winding up, after payment or provision for payment of the debts and other
    liabilities of the Corporation, the holders of $2.20 Preferred Stock shall
    be entitled to receive, out of the net assets of the Corporation, (i) if
    such liquidation, dissolution or winding up is voluntary, the applicable
    redemption price per share determined as provided in paragraph 4 below, or
    (ii) if such liquidation, dissolution or winding up is involuntary, $20 per
    share plus, in either case, an amount equal to all dividends accrued and
    unpaid on each share of $2.20 Preferred Stock to the date fixed for
    distribution, and no more, before any distribution of assets shall be made
    to the holders of Common Stock or any other class of stock or series thereof
    ranking junior to $2.20 Preferred Stock with respect to the distribution of
    assets; provided, however, that no distribution as aforesaid shall be made
    to the holders of $2.20 Preferred Stock unless at the same time a like
    proportionate distribution shall be made, ratably in proportion to the
    respective amounts payable upon liquidation, dissolution or winding up of
    the affairs of the Corporation, to the holders of all shares of 8% Preferred
    Stock, $2.16 Preferred Stock and Preferred Stock of all other series or any
    other class of stock or series thereof, if any, then outstanding and ranking
    as to distribution of assets on a parity with $2.20 Preferred Stock.
 
        Nothing herein contained shall be deemed to prevent redemption of $2.20
    Preferred Stock by the Corporation in the manner provided in paragraph 4
    below. Neither the merger or consolidation of the Corporation into or with
    any other corporation, nor the merger or consolidation of any other
    corporation into or with the Corporation, nor a sale, transfer or lease of
    all or any part of the assets of the Corporation, shall be deemed to be a
    liquidation, dissolution or winding up of the affairs of the Corporation
    within the meaning of this paragraph 3.
 
        No payment on account of such liquidation, dissolution or winding up of
    the affairs of the Corporation shall be made to the holders of any other
    class or series of stock ranking on a parity with $2.20 Preferred Stock with
    respect to preferential distribution of assets unless a payment on account
    of such liquidation, dissolution or winding up shall be made at the same
    time to the
 
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    holders of $2.20 Preferred Stock in proportion to the full distributive
    amounts to which they and the holders of such parity stock are respectively
    entitled.
 
        Written notice of any voluntary or involuntary liquidation, dissolution
    or winding up of the affairs of the Corporation, stating the payment date
    and the place where the distributable amounts shall be payable and
    containing a statement of or reference to the conversion right set forth in
    paragraph 5 below, shall be given by mail, postage prepaid, not less than 30
    days prior to the payment date stated therein, to the holders of record of
    $2.20 Preferred Stock at their respective addresses as the same shall appear
    on the books of the Corporation.
 
    4.  REDEMPTION.
 
        The Corporation at its option may, at any time or from time to time, on
    or after February 15, 1988, redeem the whole or any part of this issue of
    $2.20 Preferred Stock at the applicable redemption price plus in each case
    accrued and unpaid dividends thereon to the date fixed for redemption.
 
        The applicable redemption prices for the $2.20 Preferred Stock shall be
    as follows:
 
             IF REDEEMED DURING                     REDEMPTION PRICE
            12 MONTHS BEGINNING                        PER SHARE
      
                  1988---------------------------       $  21.00
                  1989---------------------------          20.80
                  1990---------------------------          20.60
                  1991---------------------------          20.40
                  1992---------------------------          20.20
 
    and thereafter at $20 per share.
 
        The Corporation shall on each February 15, beginning with February 15,
    1994, so long as any shares of $2.20 Preferred Stock are outstanding, set
    aside, out of funds legally available therefor, an amount sufficient to
    effect the redemption, at the applicable redemption price provided above,
    plus accrued and unpaid dividends thereon, if any, of the number of shares
    of $2.20 Preferred Stock equal to 6 2/3% of the total number of shares of
    $2.20 Preferred Stock outstanding on February 15, 1994, less the number of
    shares for which the Corporation may receive credit, as hereinafter
    provided, and the Corporation shall call for redemption such number of
    shares on such date. The Corporation may credit against any redemption
    required by this paragraph 4 the number of shares of $2.20 Preferred Stock
    which have been redeemed by the Corporation after February 15, 1994
    (including shares called for redemption if the redemption price thereof has
    been deposited with a bond or trust company as hereinafter provided in this
    paragraph 4) or which have been presented for conversion to the Corporation
    after February 15, 1994, and which have not been theretofor (i) used to
    satisfy the Corporation's obligation to redeem shares of $2.20 Preferred
    Stock pursuant to this paragraph 4 or (ii) used as a basis for a reduction
    in the number of shares of $2.20 Preferred Stock to be redeemed pursuant to
    this paragraph 4. The redemptions required of the Corporation by this
    paragraph 4 shall be cumulative, so that if the Corporation shall fail, for
    any reason whatsoever, to set aside funds and call for redemption shares of
    $2.20 Preferred Stock on the date set forth above, as required by this
    paragraph 4, the obligation to redeem such shares shall continue, and shall,
    until satisfied, increase the obligation of the Corporation to redeem shares
    in each subsequent year. If, at any time, the Corporation shall have failed
    to set aside funds and call for redemption shares of $2.20 Preferred Stock
    on the date set forth above, no dividend whatsoever shall be declared or
    paid upon or set apart and no asset shall be distributed for any class of
    stock or series thereof ranking junior to or on a parity with $2.20
    Preferred Stock in the payment of dividends (except the $2.16 Preferred) nor
    shall any shares of any class of stock or series thereof ranking junior to
    or on a parity with $2.20 Preferred Stock in payment of dividends be
    redeemed or purchased by the Corporation or any subsidiary thereof.
 
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        If at any time the Corporation shall be in default in the payment of
    dividends on the $2.20 Preferred Stock of an amount equivalent to or
    exceeding twelve full quarterly dividends (whether or not consecutive) or
    shall have failed to make the mandatory redemptions of $2.20 Preferred Stock
    required by the preceding paragraph of a number of shares equivalent to or
    exceeding the number of shares to be redeemed pursuant to such paragraph in
    any three year period, and all of the outstanding shares of $2.20 Preferred
    Stock are held by the person to which such shares were originally issued or
    by any affiliate or affiliates of such person, the Corporation shall redeem,
    at the option of such original holder or any such affiliates, out of funds
    legally available therefor, within 60 days of the occurrence thereof, each
    outstanding share of $2.20 Preferred Stock, at the applicable redemption
    price hereinabove set forth plus accrued and unpaid dividends to the date
    fixed for redemption.
 
        At or prior to the time of each redemption pursuant to this paragraph 4,
    the Corporation shall pay or make provision for payment of all accrued and
    unpaid dividends on all shares of $2.20 Preferred Stock, 8% Preferred Stock,
    $2.16 Preferred Stock and all shares of Preferred Stock of all other series
    or of any other class of stock or series thereof, if any, then outstanding
    and ranking on a parity with or prior to the $2.20 Preferred Stock in
    respect of payment of dividends.
 
        In the event the Corporation shall determine or shall be required to
    redeem less than the entire issue of $2.20 Preferred Stock then outstanding,
    (i) the shares to be redeemed shall be selected pro rata (as nearly as may
    be) so that the number of shares redeemed from each holder shall be the same
    proportion of all the shares to be redeemed that the total number of shares
    then held by such holder bears to the total number of shares then
    outstanding or (ii) if the number of holders of $2.20 Preferred Stock
    exceeds 250, and the Board of Directors so determines, the shares shall be
    selected by lot.
 
        Notice of every such redemption shall be mailed, first class postage
    prepaid, not less than 30 nor more than 45 days prior to the date fixed for
    redemption ('redemption date'), to each holder of record of shares to be
    redeemed, at his address as it appears on the books of the Corporation. Each
    such notice shall state the redemption date; the number of shares of $2.20
    Preferred Stock to be redeemed, and, if less than all shares of $2.20
    Preferred Stock held by such holder are to be redeemed, the number of such
    shares to be redeemed from him; the redemption price applicable to the
    shares to be redeemed; the place or places where such shares are to be
    surrendered; that dividends on shares to be redeemed will cease to accrue on
    the redemption date; and that shares to be redeemed may be converted at any
    time prior to the close of business on the business day next preceding the
    redemption date in accordance with paragraph 5 below.
 
        Notice having been mailed, from and after the redemption date (unless
    the Corporation defaults in providing money for the payment of the
    redemption price) the right to receive dividends on shares called for
    redemption shall cease to accrue, said shares shall no longer be deemed to
    be outstanding, all rights of holders thereof as shareholders of the
    Corporation (except the right to receive the redemption price thereof, but
    without interest) shall terminate, and, upon surrender, in accordance with
    said notice, of the certificates for any such shares (properly endorsed or
    assigned for transfer, if the Board of Directors of the Corporation shall so
    require), such shares shall be redeemed by the Corporation at the applicable
    redemption price; provided, however, that the Corporation may include in
    such notice a statement that the money required for the payment of the
    redemption price, plus accrued and unpaid dividends, if any, will be
    deposited on a specified date, prior to the redemption date, with a
    specified bank or trust company (which shall have an office in The City of
    New York and which shall have a combined capital and surplus of not less
    than $50,000,000) in trust for the benefit of holders of shares called for
    redemption, and, notice having been given, from and after such deposit
    shares called for redemption shall no longer be deemed to be outstanding,
    all rights with respect to shares of $2.20 Preferred Stock shall forthwith
    upon such deposit cease and terminate, except only the right of
 
                                       4
 

    the holders thereof to convert such shares in accordance with the provisions
    of paragraph 5 below at any time prior to the close of business on the
    business day next preceding the redemption date, and holders of such shares
    shall look for payment of the redemption price only to funds so deposited
    and in no event to the Corporation unless said funds shall be repaid to the
    Corporation as hereinafter provided. Holders of such shares shall not be
    entitled to any interest allowed by such depositary on money so deposited
    but any such interest shall be paid to the Corporation. Any moneys deposited
    as aforesaid for redemption of any shares and remaining unclaimed for four
    years after the date of such deposit shall then be repaid to the Corporation
    upon its request, and the holders of such shares shall thereafter look only
    to the Corporation for payment of the redemption price thereof, but without
    interest.
 
        Any provision of this paragraph 4 to the contrary notwithstanding, in
    the event that any quarterly dividend due on $2.20 Preferred Stock shall be
    in default, and until all such defaults shall have been cured, the
    Corporation shall not redeem any shares of $2.20 Preferred Stock unless all
    outstanding shares of $2.20 Preferred Stock are simultaneously redeemed and
    shall not purchase or otherwise acquire any shares of $2.20 Preferred Stock
    except in accordance with a purchase offer made by the Corporation on the
    same terms to all holders of record of $2.20 Preferred Stock.
 
        Any shares of $2.20 Preferred Stock redeemed or otherwise purchased or
    acquired by the Corporation shall be retired, shall no longer be deemed
    outstanding, and shall assume the status of authorized but unissued
    Preferred Stock, with no par value, undesignated as to series, subject to
    reissuance by the Corporation as shares of Preferred Stock of any one or
    more series, as may be determined from time to time by the Board of
    Directors, except that such shares may not be reissued as additional shares
    of $2.20 Preferred Stock.
 
    5.  CONVERSION.
 
        Shares of $2.20 Preferred stock may be converted at the option of the
    holder thereof, at any time prior to the close of business on the business
    day next preceeding the date fixed for redemption of such shares pursuant to
    paragraph 4 above, into fully paid and non-assessable shares of Common Stock
    of the Corporation at the rate of 0.8696 shares of Common Stock as now
    constituted for each share of $2.20 Preferred Stock surrendered for
    conversion (the 'conversion rate'), subject to the following provisions:
 
           (A)  The conversion rate shall be subject to adjustment from time to
       time as follows:
 
               (1)  In case the Corporation shall (i) pay a dividend, or make a
           distribution, to all holders of its Common Stock in shares of its
           capital stock (whether shares of Common Stock or of capital stock of
           any other class), (ii) subdivide its outstanding shares of Common
           Stock into a greater number of shares, (iii) combine its outstanding
           shares of Common Stock into a smaller number of shares, or (iv) issue
           by reclassification of its shares of Common Stock any shares of
           capital stock of the Corporation, the conversion rate in effect
           immediately prior to such action shall be adjusted so that the holder
           of any share of $2.20 Preferred Stock thereafter surrendered for
           conversion shall be entitled to receive the number of shares of
           capital stock of the Corporation which he would have owned
           immediately following such action had such share of $2.20 Preferred
           Stock been converted immediately prior thereto. An adjustment made
           pursuant to this subparagraph (1) shall become effective immediately
           after the record date in the case of a dividend and shall become
           effective immediately after the effective date in the case of a
           subdivision, combination or reclassification. If, as a result of any
           adjustment made pursuant to this subparagraph (1), the holder of any
           shares of $2.20 Preferred Stock thereafter surrendered for conversion
           shall become entitled to receive shares of two or
 
                                       5
 

           more classes of capital stock of the Corporation, the Board of
           Directors (whose determination shall be conclusive) shall determine,
           in good faith, the allocation of the conversion price of the $2.20
           Preferred Stock (determined by dividing the adjusted conversion rate
           into $20) between or among shares of such classes of capital stock.
 
               (2)  In case the Corporation shall hereafter issue rights or
           warrants to all holders of its Common Stock entitling them (for a
           period expiring within 45 days after the record date mentioned below)
           to subscribe for or purchase shares of Common Stock at a price per
           share less than the current market price per share of Common Stock
           (as determined pursuant to subparagraph (4) below) on the record date
           mentioned below, the conversion rate shall be adjusted effective
           immediately after the expiration date of such rights or warrants so
           that the same shall equal the rate determined by multiplying the
           conversion rate in effect immediately prior to the date of issuance
           of such rights or warrants by a fraction of which the numerator shall
           be the number of shares of Common Stock outstanding (excluding
           treasury shares) on the date of issuance such rights or warrants plus
           the number of additional shares of Common Stock purchased pursuant to
           such offer for subscription or purchase and of which the denominator
           shall be the number of shares of Common Stock outstanding (excluding
           treasury shares) on the date of issuance of such rights or warrants
           plus the number of shares of Common Stock which the aggregate
           subscription or purchase price of the total number of shares so
           purchased would purchase at such current market price (determined as
           provided in subparagraph (4) below).
 
               (3)  In case the Corporation shall distribute to all holders of
           its Common Stock evidences of its indebtedness or assets (excluding
           cash distributions made out of current or retained earnings) or
           rights to subscribe (excluding those referred to in subparagraph (2)
           above), then in each such case the conversion rate shall be adjusted
           so that the same shall equal the rate determined by multiplying the
           conversion rate in effect immediately prior to the date of such
           distribution by a fraction of which the numerator shall be the
           current market price per share of Common Stock (determined as
           provided in subparagraph (4) below) at the record date mentioned
           below, and the denominator of which shall be such current market
           price per share of Common Stock, less the then fair market value (as
           determined, in good faith, by the Board of Directors of the
           Corporation, whose determination shall be conclusive) of the portion
           of the assets or evidences of indebtedness so distributed or of such
           subscription rights applicable to one share of Common Stock. Such
           adjustment shall become effective immediately after the record date
           for determination of stockholders entitled to receive such
           distribution.
 
               (4)  For the purpose of any computation under subparagraphs (2)
           and (3) above, the current market price per share of Common Stock on
           any date shall be deemed to be the average of the daily closing
           prices for 30 consecutive business days commencing 45 business days
           before the day in question. The closing price for each day shall be
           the last reported sale price regular way or, in case no such reported
           sale takes place on such day, the average of the reported closing bid
           and asked prices regular way, in either case on the New York Stock
           Exchange or, if the Common Stock is not listed or admitted to trading
           on such Exchange, on the principal national securities exchange on
           which the Common Stock is listed or admitted to trading or, if not
           listed or admitted to trading on any national securities exchange,
           the average of the closing bid and asked prices as furnished by any
           New York Stock Exchange member firm selected from time to time by the
           Corporation for that purpose.
 
               (5)  In any case in which this paragraph 5 shall require that an
           adjustment be made immediately following a record date, the
           Corporation may elect to defer (but only until five business days
           following the filing by the Corporation of the statement required by
 
                                       6
 

           subparagraph (7) below) issuing to the holder of any share of $2.20
           Preferred Stock converted after such record date shares of Common
           Stock and other capital stock of the Corporation issuable upon such
           conversion over and above the number of shares of Common Stock and
           other capital stock of the Corporation issuable upon such conversion
           as computed on the basis of the conversion rate prior to adjustment.
 
               (6)  All calculations under this paragraph 5 shall be made to the
           nearest cent or to the nearest one-hundredth of a share, as the case
           may be.
 
               (7)  Whenever the conversion rate is adjusted as herein provided,
           the Corporation shall (i) file at the office or agency in the Borough
           of Manhattan in the City of New York maintained by the Corporation
           pursuant to subparagraph (D) of this paragraph 5 and with each
           transfer agent for its Common Stock a statement, signed by the
           Chairman of the Board of Directors, the President or one of the Vice
           Presidents of the Corporation and by its Treasurer or one of its
           Assistant Treasurers, stating the adjusted conversion rate determined
           as provided herein and setting forth the method of calculation and
           the facts requiring such adjustment and upon which such calculation
           is based, and (ii) mail or cause to be mailed a copy of such
           statement setting forth the adjusted conversion rate to each person
           who is a registered holder of $2.20 Preferred Stock at such person's
           last address as the same appears on the books of the Corporation.
           Each adjustment shall remain in effect until a subsequent adjustment
           is required hereunder.
 
           (B)  In the case of a merger or consolidation of the Corporation with
       or into another corporation, or the sale of the Corporation's property or
       assets as, or substantially as, an entirety, to another corporation, or
       the reclassification of the Corporation's Common Stock (other than
       through a subdivision or combination thereof, or change in par value),
       holders of shares of $2.20 Preferred Stock shall thereafter have the
       right to convert each of such shares into the kind and amount of shares
       of stock and other securities and property receivable upon such merger,
       consolidation, sale or reclassification by a holder of the number of
       shares of Common Stock (whether whole or fractional) of the Corporation
       into which shares of $2.20 Preferred Stock might have been converted
       immediately prior to such a merger, consolidation, sales or
       reclassification, and shall have no other conversion rights under these
       provisions; and effective provision shall be made in the charter of the
       resulting or surviving corporation or otherwise, so that the provisions
       set forth herein for the protection of conversion rights of $2.20
       Preferred Stock shall thereafter be applicable, as nearly as reasonably
       may be, to any such other shares of stock and other securities and
       property deliverable upon conversion of $2.20 Preferred Stock remaining
       outstanding or other convertible preferred stock received by the holders
       in place thereof. Any such resulting or surviving corporation shall
       expressly assume the obligation to deliver, upon the exercise of the
       conversion right, such shares, securities or property as holders of $2.20
       Preferred Stock remaining outstanding, or other convertible preferred
       stock received by such holders in place thereof, shall be entitled to
       receive pursuant to the provisions hereof, and to make provision for
       protection of conversion rights as above provided.
 
           (C)  If, at any time while shares of $2.20 Preferred Stock are
       outstanding, the Corporation shall (i) declare a dividend (or any other
       distribution) on its Common Stock, other than in cash out of current or
       retained earnings; or (ii) authorize the issuance to all holders of its
       Common Stock of rights or warrants to subscribe for or purchase shares of
       its Common Stock or of any other subscription rights or warrants; or
       (iii) reclassify its Common Stock (other than through a subdivision or
       combination thereof) or become a party to any consolidation or merger for
       which approval of the holders of its Common Stock is required, or sell or
       transfer all or substantially all of the assets of the Corporation; then
       the Corporation shall cause to be mailed to registered holders of $2.20
       Preferred Stock, at their last addresses as they shall appear upon the
       Corporation's stock transfer record, at least ten days
 
                                       7
 

       prior to the applicable record date hereinafter specified, a notice
       stating (i) the date on which a record is to be taken for the purpose of
       such dividend, distribution, rights or warrants, or, if a record is not
       to be taken, the date as of which holders of Common Stock of record to be
       entitled to such dividend, distribution, rights or warrants are to be
       determined, or (ii) the date on which any such reclassification,
       consolidation, merger, sale or transfer is expected to become effective,
       and the date as of which it is expected that holders of Common Stock of
       record shall be entitled to exchange their Common Stock for securities or
       other property, if any, deliverable upon such reclassification,
       consolidation, merger, sale or transfer. Failure to give or receive the
       notice required by this subparagraph (C) or any defect therein shall not
       affect the legality or validity of any such dividend, distribution, right
       or warrant or other action.
 
           (D)  The holder of any shares of $2.20 Preferred Stock may exercise
       his option to convert such shares into shares of Common Stock only by
       surrendering for such purpose to the Corporation at the office or agency
       in the Borough of Manhattan in The City of New York maintained by the
       Corporation for that purpose certificates representing the shares to be
       converted, accompanied by written notice that such holder elects to
       convert such shares in accordance with the provisions of this paragraph
       5. Said notice shall also state the name or names (with addresses) in
       which the certificate or certificates for shares of Common Stock which
       shall be issuable on such conversion shall be issued. Each certificate or
       certificates surrendered for conversion shall, unless the shares issuable
       on conversion are to be issued in the same name as that in which such
       certificate or certificates are registered, be accompanied by instruments
       of transfer, in form satisfactory to the Corporation, duly executed by
       the holder or by his duly authorized attorney. Each conversion shall be
       deemed to have been effected on the date on which such certificate or
       certificates shall have been surrendered and such notice received by the
       Corporation as aforesaid, and the person or persons in whose name or
       names any certificate or certificates for shares of Common Stock shall be
       issuable upon such conversion shall be deemed to have become on said date
       the holder or holders of record of the shares represented thereby
       notwithstanding that the transfer books of the Corporation may then be
       closed or that certificates representing such shares of Common Stock
       shall not then be actually delivered to such person.
 
           (E)  Upon any such conversion of shares of $2.20 Preferred Stock, no
       allowance, adjustment or payment shall be made with respect to dividends
       upon either the shares of $2.20 Preferred Stock surrendered for
       conversion or the shares of Common Stock issuable upon conversion.
 
           (F)  In connection with the conversion of shares of $2.20 Preferred
       Stock into Common Stock, no fractions of shares of $2.20 Preferred Stock
       or of Common Stock shall be issued, but the Corporation shall pay a cash
       adjustment in respect of such fractional interest in an amount equal to
       the market value of such fractional interest. In such event, the market
       value of a share of Common Stock shall be the last recorded sale price of
       such a share on the New York Stock Exchange on the business day
       immediately preceding the date upon which such shares of $2.20 Preferred
       Stock are deemed to have been converted, or, if there be no such recorded
       sale price on such day, the last quoted bid price per share of Common
       Stock on such exchange at the close of trading on such business day. If
       the Common Stock shall not at the time be listed or admitted to trading
       on the New York Stock Exchange, such market value shall be the average of
       the reported closing bid and asked prices regular way on such day on the
       principal national securities exchange on which the Common Stock is
       listed or admitted to trading or, if not listed or admitted to trading on
       any national securities exchange, the average of the closing bid and
       asked prices on such day as furnished by any New York Stock Exchange
       member firm selected from time to time by the Corporation for that
       purpose. The issue of stock certificates on conversions of shares of
       $2.20 Preferred Stock shall be made without charge to converting holders
       of shares of $2.20 Preferred Stock
 
                                       8
 

       for any tax in respect of the issue thereof. The Corporation shall not,
       however, be required to pay any tax which may be payable in respect of
       any registration of transfer involved in the issue and delivery of stock
       in any name other than that of the holder of any shares of $2.20
       Preferred Stock converted, and the Corporation shall not be required to
       so issue or deliver any stock certificate unless and until the person or
       persons requesting the registration of transfer shall have paid to the
       Corporation the amount of such tax or shall have established to the
       satisfaction of the Corporation that such tax has been paid.
 
           (G)  The Corporation shall at all times reserve and keep available
       out of its authorized Common Stock the full number of shares of Common
       Stock deliverable upon the conversion of all outstanding shares of $2.20
       Preferred Stock.
 
           (H)  Any shares of $2.20 Preferred Stock converted shall no longer be
       deemed outstanding and shall assume the status of authorized but unissued
       shares of Preferred Stock, with no par value, undesignated as to series,
       subject to reissuance by the Corporation as shares of Preferred Stock of
       any one or more series, as may be determined from time to time by the
       Board of Directors, except, that such shares may not be reissued as
       additional shares of $2.20 Preferred Stock.
 
           (I)  For purposes of this paragraph (5):
 
               (1) 'business day' shall mean a day on which the New York Stock
           Exchange (or a successor or an equivalent or substitute organization
           or facility) is open for the trading of securities in the Borough of
           Manhattan in The City of New York; and
 
               (2) 'Common Stock' shall mean (a) the Corporation's Common Stock,
           $.16 2/3 par value per share, or (b) any other class of stock
           resulting from successive changes or reclassifications of such Common
           Stock consisting solely of changes in par value, or from par value to
           no par value, or from no par value to par value; provided, however,
           that in the event that at any time as a result of an adjustment made
           pursuant to subparagraph (A)(1) above, the holder of any share of
           $2.20 Preferred Stock thereafter surrendered for conversion would
           become entitled to receive any stock of the Corporation other than
           shares of its Common Stock, thereafter the conversion rate with
           respect to such other shares so receivable upon conversion of any
           share of $2.20 Preferred Stock shall be subject to adjustment from
           time to time in a manner and on terms as nearly equivalent as
           practicable to the provisions with respect to Common Stock contained
           in this paragraph 5.
 
    6.  VOTING RIGHTS.
 
        (A)  The holders of $2.20 Preferred Stock shall be entitled to one vote
    per share, voting together as one class with the holders of Common Stock, 8%
    Preferred Stock, and $2.16 Preferred Stock and any other series of Preferred
    Stock entitled to vote, on all matters to be voted by stockholders of the
    Corporation, in addition to their rights set forth in subparagraphs (B), (C)
    and (D) below and otherwise provided by law.
 
        (B)  If at any time the Corporation shall have failed to make the
    mandatory redemptions of $2.20 Preferred Stock required by the third
    subparagraph of paragraph 4 of a number of shares equivalent to or exceeding
    the number of shares to be redeemed pursuant to such paragraph on any two
    redemption dates as specified in such paragraph, and if the default in
    dividends specified in subparagraph (C) of this paragraph 6 (the 'Dividend
    Default') is not then in effect, the number of directors constituting the
    Board of Directors of the Corporation shall be increased by two, and the
    holders of $2.20 Preferred Stock, voting as a separate series shall be
    entitled at the next annual meeting of stockholders or the next special
    meeting of stockholders, or at a special meeting of holders of $2.20
    Preferred Stock called as hereinafter provided, to elect two directors to
    fill such newly created directorships, and in addition thereto, such holders
    shall be entitled to participate with holders of Common Stock and holders,
    if any, of any other capital stock of the
 
                                       9
 

    Corporation entitled to vote for the election of directors in the election
    of any other directors; provided, however, that when all arrears in such
    redemptions of the $2.20 Preferred Stock shall have been made or if a
    Dividend Default shall occur, then (i) the right of holders of $2.20
    Preferred Stock to participate in the election of two directors shall cease
    but subject always to the same provisions for vesting of such voting rights
    in the case of any similar future arrearages in redemptions at a time when a
    Dividend Default is not in effect; (ii) the term of the directors then in
    office elected by holders of $2.20 Preferred Stock as a class shall
    terminate; and (iii) the number of directors constituting the Board of
    Directors shall be reduced by two (except that upon a Default in Dividends
    the number of directors shall then be increased in accordance with
    subparagraph (C) of this paragraph 6).
 
        Whenever such voting right shall vest, it may be exercised initially
    either at a special meeting of holders of $2.20 Preferred Stock or at any
    annual or special stockholders' meeting, but thereafter it shall be
    exercised only at annual stockholders' meetings. A special meeting for the
    exercise of such right shall be called by the Secretary of the Corporation
    within ten days after receipt of a written request therefor, signed by the
    holders of record of at least 10% of the votes of the then outstanding
    shares of $2.20 Preferred Stock; however, no such special meeting shall be
    held during the 90-day period preceding the date fixed for the annual
    meeting of stockholders.
 
        Any director who shall have been elected by holders of $2.20 Preferred
    Stock as a series pursuant to this subparagraph (B) shall hold office for a
    term expiring (subject to the earlier termination of the default in
    redemptions or the occurrence of a Dividend Default) at the next annual
    meeting of stockholders, and during such term may be removed at any time,
    either for or without cause, only by the affirmative votes of holders of
    record of a majority of the votes of the then outstanding shares of $2.20
    Preferred Stock given at a special meeting of such stockholders called for
    the purpose. Any vacancy created by such removal may also be filled at such
    meeting. A meeting for the removal of a director elected by holders of $2.20
    Preferred Stock as a series and the filling of the vacancy created thereby
    shall be called by the Secretary of the Corporation within ten days after
    receipt of a written request therefor, signed by the holders of not less
    than 25% of the votes of the then outstanding shares of $2.20 Preferred
    Stock. Such meeting shall be held at the earliest practicable date
    thereafter.
 
        Any vacancy caused by the death, resignation, or expiration of term
    (except upon a termination of the default in redemptions or the occurrence
    of a Dividend Default) of a director who shall have been elected by the
    holders of $2.20 Preferred Stock as a series pursuant to this subparagraph
    (B) may be filled only by the holders of $2.20 Preferred Stock at a meeting
    called for such purpose. Such meeting of the holders of $2.20 Preferred
    Stock shall be called by the Secretary of the Corporation at the earliest
    practicable date after any such death or resignation and in any event within
    ten days after receipt of a written request therefor, signed by the holders
    of record of at least 10% of the votes of the then outstanding shares of
    $2.20 Preferred Stock.
 
        If any meeting of the holders of $2.20 Preferred Stock required by this
    subparagraph (B) to be called shall not have been called within ten days
    after personal service of a written request therefor upon the Secretary of
    the Corporation or within 15 days after mailing the same within the United
    States of America by registered mail addressed to the Secretary of the
    Corporation at its principal office, then holders of record of at least 10%
    of the votes of the then outstanding shares of $2.20 Preferred Stock may
    designate in writing one of their number to call such a meeting at the
    expense of the Corporation and such meeting may be called by such person so
    designated upon the notice required for annual meetings of stockholders. Any
    holder of $2.20 Preferred Stock so designated shall have access to the stock
    books of the Corporation for the purpose of causing meetings of stockholders
    to be called pursuant to these provisions.
 
        Any meeting of holders of $2.20 Preferred Stock to vote as a series for
    the election or removal of directors shall be held at the place for the
    holding of the annual meeting of stockholders of the Corporation. At such
    meeting, the presence in person or by proxy of holders
 
                                       10
 

    of a majority of the votes of the then outstanding shares of $2.20 Preferred
    Stock shall be required to constitute a quorum; in the absence of a quorum,
    a majority of the holders present in person or 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.
 
        (C)  If at any time the Corporation shall be in default in the payment
    of dividends on the $2.20 Preferred Stock of an amount equivalent to or
    exceeding six full quarterly dividends (whether or not consecutive), the
    number of directors constituting the Board of Directors of the Corporation
    shall be increased by two, and the holders of $2.20 Preferred Stock, voting
    as a separate class together with the holders of all other series of
    Preferred Stock outstanding (other than 8% Preferred Stock) having similar
    voting rights (such other series of Preferred Stock and the $2.20 Preferred
    Stock being hereinafter collectively referred to as 'Special Preferred
    Stock'), whether or not the payment of quarterly dividends shall be in
    default on all Special Preferred Stock outstanding shall be entitled at the
    next annual meeting of stockholders, or at a special meeting of holders of
    Special Preferred Stock called as hereinafter provided, to elect two
    directors to fill such newly created directorships, and in addition thereto,
    such holders shall be entitled to participate with holders of Common Stock
    and holders, if any, of any other capital stock of the Corporation entitled
    to vote for the election of directors in the election of any other
    directors; provided, however, that when all arrears in dividends on Special
    Preferred Stock then outstanding shall have been paid and dividends thereon
    for the current quarterly period shall have been paid or declared and a sum
    sufficient for the payment thereof set aside, then (i) the right of holders
    of Special Preferred Stock to participate in the election of two directors
    shall cease but subject always to the same provisions for vesting of such
    voting rights in the case of any similar future arrearages in dividends;
    (ii) the term of the directors then in office elected by holders of Special
    Preferred Stock as a class shall terminate; and (iii) the number of
    directors constituting the Board of Directors shall be reduced by two.
 
        Whenever such voting right shall vest, it may be exercised initially
    either at a special meeting of holders of Special Preferred Stock or at any
    annual or special stockholders' meeting, but thereafter it shall be
    exercised only at annual stockholders' meetings. A special meeting for the
    exercise of such right shall be called by the Secretary of the Corporation
    within ten days after receipt of a written request therefor, signed by the
    holders of record of at least 10% of the votes of the then outstanding
    shares of Special Preferred Stock; however, no such special meeting shall be
    held during the 90-day period preceding the date fixed for the annual
    meeting of stockholders.
 
        Any director who shall have been elected by holders of Special Preferred
    Stock as a class pursuant to this subparagraph (C) shall hold office for a
    term expiring (subject to the earlier termination of the default in
    dividends) at the next annual meeting of stockholders, and during such term
    may be removed at any time, either for or without cause, only by the
    affirmative votes of holders of record of a majority of the votes of the
    then outstanding shares of Special Preferred Stock given at a special
    meeting of such stockholders called for the purpose. Any vacancy created by
    such removal may also be filled at such meeting. A meeting for the removal
    of a director elected by holders of Special Preferred Stock as a class and
    the filling of the vacancy created thereby shall be called by the Secretary
    of the Corporation within ten days after receipt of a written request
    therefor, signed by the holders of not less than 25% of the votes of the
    then outstanding shares of Special Preferred Stock. Such meeting shall be
    held at the earliest practicable date thereafter.
 
        Any vacancy caused by the death, resignation, or expiration of term
    (except upon a termination of the default in dividends) of a director who
    shall have been elected by the holders of Special Preferred Stock as a class
    pursuant to this subparagraph (C) may be filled only by the holders of
    Special Preferred Stock at a meeting called for such purpose. Such meeting
    of the holders of Special Preferred Stock shall be called by the Secretary
    of the Corporation at the earliest practicable date after any such death or
    resignation and in any event within ten days after
 
                                       11

    receipt of a written request therefor, signed by the holders of record of at
    least 10% of the votes of the then outstanding shares of Special Preferred
    Stock.
 
        If any meeting of the holders of Special Preferred Stock required by
    this subparagraph (C) to be called shall not have been called within ten
    days after personal service of a written request therefor upon the Secretary
    of the Corporation or within 15 days after mailing the same within the
    United States of America by registered mail addressed to the Secretary of
    the Corporation at its principal office, then holders of record of at least
    10% of the votes of the then outstanding shares of Special Preferred Stock
    may designate in writing one of their number to call such a meeting at the
    expense of the Corporation and such meeting may be called by such person so
    designated upon the notice required for annual meetings of stockholders. Any
    holder of Special Preferred Stock so designated shall have access to the
    stock books of the Corporation for the purpose of causing meetings of
    stockholders to be called pursuant to these provisions.
 
        Any meeting of holders of Special Preferred Stock to vote as a class for
    the election or removal of directors shall be held at the place for the
    holding of the annual meeting of stockholders of the Corporation. At such
    meeting, the presence in person or by proxy of holders of a majority of the
    votes of the then outstanding shares of Special Preferred Stock shall be
    required to constitute a quorum; in the absence of a quorum, a majority of
    the holders present in person or 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.
 
        (D)  So long as any shares of $2.20 Preferred Stock are outstanding, the
    Corporation shall not, in any manner, whether by amendment to the
    Certificate of Incorporation or By-Laws of the Corporation, by merger
    (whether or not the Corporation is a surviving corporation in such merger),
    by consolidation, or otherwise:
 
           (1) without the written consent or the affirmative vote at a meeting
       called for that purpose of the holders of at least two-thirds of the
       votes of the shares of $2.20 Preferred Stock then outstanding, voting
       separately as a class, (a) amend, alter or repeal any of the provisions
       of Article IV of the Certificate of Incorporation of the Corporation, or
       of any resolution or resolutions establishing the $2.20 Preferred Stock,
       so as to affect adversely the powers, preferences or special rights of
       the $2.20 Preferred Stock; or (b) authorize or increase the authorized
       amount of, or authorize any obligation or security convertible into or
       evidencing the right to purchase shares of, any additional class or
       series of stock ranking prior to the $2.20 Preferred Stock in the payment
       of dividends or the preferential distribution of assets; or (c) authorize
       or increase the authorized amount of, or authorize any obligation or
       security convertible into or evidencing the right to purchase shares of,
       any shares of Preferred Stock of any series having more than one vote per
       share of such Preferred Stock or amend, alter or repeal any of the
       provisions of Article IV of the Certificate of Incorporation of the
       Corporation, or of any resolution or resolutions establishing any series
       of the Preferred Stock, so as to provide any share of Preferred Stock
       with more than one vote per share of Preferred Stock; or
 
           (2) without the written consent or the affirmative vote at a meeting
       called for that purpose of the holders of at least a majority of the
       aggregate number of the votes of the shares of Preferred Stock of all
       series (including $2.20 Preferred Stock) then outstanding, voting
       separately as a class, (a) increase the number of shares of Preferred
       Stock authorized by the provisions of Article IV of the Certificate of
       Incorporation; or (b) authorize or increase the authorized amount of, or
       authorize any obligation or security convertible into or evidencing the
       right to purchase shares of, any additional class of stock ranking on a
       parity with the $2.20 Preferred Stock in the payment of dividends or the
       preferential distribution of assets;
 
    PROVIDED, HOWEVER, that the foregoing provisions of this subparagraph (D)
shall not require the consent or vote of the holders of $2.20 Preferred Stock or
any Preferred Stock for the authorization or
 
                                       12

an increase in the authorized amount of any class or series of stock, or for the
authorization of any obligation or security convertible into or evidencing the
right to purchase shares of any class or series of stock, except to the extent
specifically provided in sections (1) (b), (2) (a) and (2) (b) of this
subparagraph (D); and PROVIDED further, that, except as otherwise required by
law, no such consent or vote shall be required for any merger or consolidation:
 
        (i) in which (x) the Corporation is the surviving corporation; (y) no
    adverse change is made in the powers, preferences or special rights of the
    $2.20 Preferred Stock; and (z) no additional class or series of stock is
    authorized or the authorized amount thereof increased, and no obligation or
    security convertible into or evidencing the right to purchase shares of any
    additional class or series of stock is authorized, if no such consent or
    vote would have been required for any such authorization, or increase in
    authorized amount, immediately prior to such merger or consolidation; or
 
        (ii) in which (x) the Corporation is a party but is not the surviving
    corporation; (y) the surviving corporation shall, in connection with and at
    the same time as such merger or consolidation, issue in exchange for each
    share of $2.20 Preferred Stock then outstanding a share of preferred stock
    of the surviving corporation with the same powers, preferences and special
    rights as the $2.20 Preferred Stock; and (z) immediately after such merger
    or consolidation only classes or series of stock of the surviving
    corporation and obligations or securities convertible into or evidencing the
    right to purchase shares of a class or series of stock of the surviving
    corporation shall be authorized or outstanding, for which no such consent or
    vote would have been required if such classes or series of stock and
    obligations or securities had been authorized by the Corporation immediately
    prior to such merger or consolidation, or which have, or are convertible
    into or evidence the right to purchase shares of a class or series of stock
    of the surviving corporation which have, the same powers, preferences and
    special rights and authorized amount as a class or series of stock of the
    Corporation which was authorized (with such consent or vote) prior to such
    merger or consolidation and is continuing as an authorized class or series
    of stock at the time thereof.
 
    SECOND:  That the number of shares of $2.20 Cumulative Convertible Preferred
Stock is 2,875,000.
 
    IN WITNESS WHEREOF, said Tesoro Petroleum Corporation has caused this
certificate to be signed by Robert V. West, Jr., its Chairman of the Board of
Directors, and attested by M. Richard Stewart, its Secretary, this 26th day of
January, 1983.
 
                                          By  /s/  ROBERT V. WEST, JR.
                                                   Chairman of the
                                                   Board of Directors
 
ATTEST:
 
By  /s/  M. RICHARD STEWART
         Secretary
 
                                       13