Question

Verify the following using truth table. Also draw logic
circuit diagram for given expression.

A) a.(a+b)=a

B) X.(Y +Z) = X.Y + X. Z

Answer 1

Answer:

A)

A B A+B A. (A+B) A

0 0 0 0 0

0 1 1 0 0

1 0 1 1 1

1 1 1 1 1

B)

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

0 0 0 0 0 0 0 0

0 0 1 1 0 0 0 0

0 1 0 1 0 0 0 0

0 1 1 1 0 0 0 0

1 0 0 0 0 0 0 0

1 0 1 1 1 0 1 1

1 1 0 1 1 1 0 1

1 1 1 1 1 1 1 1

Explanation:

I have tell some trick

. means multiple

+ means add

ex; a=1,b=0 a.b=1.0=0

like that