CBSE NET July 2016 PAPER II

Q. The Simplified form of a Boolean equation (AB'+AB'C+AC)(A'C' +B') is

(A) 0

(B) 1

(C) -1

(D) -2

Ans :- (A)

Explanation:-

(AB'+AB'C+AC)(A'C' +B')

On simplifying above equation,

(AB’A’C’+AB’CA’C’+ACA’C’+AB’B’+AB’CB’+ACB’)

(0+0+0+AB’+AB’C+ACB’)

Because multiplication of element with its complement is 0.

(AB’+AB’C)

AB’(1+C)

AB’