# 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)

2. ### Georacer Moderator

Nov 25, 2009
5,151
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!