Simplify the following Boolean expression using laws of Boolean Algebra. At each step stateclearly the law used for simplification. XY.(X.Y + Y.Z)

Question

Simplify the following Boolean expression using laws of Boolean Algebra: XY.(X.Y + Y.Z)

At each step state clearly the law used for simplification. 

Answer 1

XY(X.Y + .Y.Z)

REARRANGE:

X(X + Z)Y.Y IDEMPOTENCE LAW

X(X + Z)Y ADSORPTION LAW

X.Y