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Math Help - Minimum Sum-Of-Products Expression

  1. #1
    Junior Member
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    Aug 2009
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    Minimum Sum-Of-Products Expression

    Hello,

    I am having some difficulty minimizing the following expression:

    f = x_1x_2'x_3' + x_1x_2x_4 + x_1x_2'x_3x_4'

    If I introduce x_4 in the first term and x_3 in the second term. I must do it in the form x_3 + x_3'. That means I create two new expressions and get:

    f = x_1x_2'x_3'x_4 + x_1x_2'x_3'x_4' + x_1x_2x_3x_4 + x_1x_2x_3'x_4 + x_1x_2'x_3x_4'<br />

    If I combine terms 1 & 2, 2 & 5, 3 & 4 I get:

     f = x_1x_2'x_3' + x_1x_2'x_4' + x_1x_2x_4


    I am stuck at this point, thanks for any help. I guess the reason I am stuck is that my expression doesn't appear to be minimized all that much from the initial expression. Thanks for any help.
    Last edited by Alterah; September 13th 2009 at 05:39 PM.
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