1.

Prove the idempotence law of Boolean algebra with the help of truth table. Idempotence law state that(a) X + X = X(b) X . X = X

Answer»

(a) X + X = X 

To prove this law, we will make a following truth table :

xxR
000
111

 0 + 0 = 0 and 1 + 1 = 1 0 . 0 = 0 and 1 . 1 = 1

From truth table it is prove that X + X = X

(b) X . X = X

To prove this law, we will make a following truth table :

xxR
000
111

0 . 0 = 0 and 1 . 1 = 1

From truth table it is prove that X . X = X


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