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!!
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!!