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Given the zhegalkin polynomial, find the boolean function

  1. Apr 2, 2017 #1
    1. The problem statement, all variables and given/known data
    the given zhegalkin polynomial is y=x1+x2.
    find the corresponding boolean functio

    3. The attempt at a solution
    zhegalkin polynomial for 2 variables is:
    f(x) = c12*x1*x2 + c1*x1 + c2*x2 + c
    => c12=0, c1=1, c2=1, c=0.
    f(0,0) = c = 0,
    f(0,1) = c2+c = 1+0 = 1
    f(1,0) = c1+c = 1+0 = 1
    f(1,1) = c1+c2+0 = 1+1+1 = 0
    => the boolean function should be xor?

    y=x1 mod2sum x2 is in the answers but the answer chosen as correct
    is y=x1 mod2sum x2 mod2sum x1x2. which one is correct?

    p.s. mod2sum is "+ in circle"
  2. jcsd
  3. Apr 8, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
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