1.

Prove the complementarity law of boolean algebra with the help of truth table?

Answer»

(a)  X + X’ = 1

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

xx'R
011
101

0 + 1 = 1 and 1 + 0 = 1

From truth table it is prove that X + X’ = 1

(b) X . X’= 0

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

xx'R
010
100

0 . 1 = 0 and 1 . 0 = 0

From truth table it is prove that X + X’ = 1 From truth table it is prove that X . X’= 0



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