expressing functions as sum of minterms and product of maxterms

Discussion in 'Homework Help' started by mcc123pa, Sep 14, 2010.

  1. mcc123pa

    Thread Starter Member

    Sep 12, 2010
    40
    0
    In this problem, I am given the function (XY+Z)(Y+XZ). I am asked to create a truth table for it, and to express the function in sum of minterms and product of maxterms form. I will post my work and would appreciate it if someone could tell me if I'm right or wrong. If I'm wrong, I'd appreciate it if someone could post the correct answer and tell me where I went wrong.

    part a (truth table):
    x y z xy z y xz F
    0 0 0 0 0 0 0 0
    0 0 1 0 1 0 0 0
    0 1 0 0 0 1 0 0
    0 1 1 0 1 1 0 1
    1 0 0 0 0 0 0 0
    1 0 1 0 1 0 1 1
    1 1 0 1 0 1 0 1
    1 1 1 1 1 1 1 1
    part b (sum of minterms): mƩ(3,5,6,7) (all the terms from the F column that have ones)
    part c (product of maxterms): M∏(0,1,2,4) (all the terms from the F column that have zeroes)

    Thanks in advance for your answers!!
     
  2. Georacer

    Moderator

    Nov 25, 2009
    5,142
    1,266
    I think that Σ and Π denote min and maxterms respectively, so the m and M are unnecessary. Otherwise, the solution is correct.
     
  3. mcc123pa

    Thread Starter Member

    Sep 12, 2010
    40
    0
    Thanks for the help Georacer!
     
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