Question

Using boolean logic verify function x+xy=x using Truth Table​

Answer 1

Explanation:

using boolean logic

X+XY=X(1+Y)

=X.1 (SINCE 1+A=A from bolean logic)

=X

using truth table

X Y XY X+ XY 1+Y X(1+Y)

0 0 0 0 1 0

0 1 0 0 1 0

1 0 0 1 1 1

1 0 0 1 1 1

From the above truth table

X+XY=X(1+Y)=X