Question

Verify the following Boolean Expression using truth table. X.Y.Z + X.Y’.Z + X.Y.Z = X.(Y + Z)​

Answer 1

Explanation:

X Y Z Y+Z X+(Y+Z) (X+Y) (X+Y)+Z

0 0 0 0 0 0 0

0 0 1 1 1 0 1

0 1 0 1 1 1 1

0 1 1 1 1 1 1

1 0 0 0 1 1 1

1 0 1 1 1 1 1

1 1 0 1 1 1 1

1 1 1 1 1 1 1

As the values of columns X+(Y+Z) and (X+Y)+Z are identical, hence the expression is proved.