ISRO | ISRO CS 2008 | Question 23

The Boolean expression ( A + C’)(B’+ C’) simplifies to
(A) C’ + AB’
(B) C’ (A’ + B)
(C) B’C’ + AB’
(D) None of these.

Answer: (A)
Explanation: The following expression can be simplified as:

(A + C')(B'+ C')
= AB' + AC' + B'C' + C'
= AB' + C'(A + B' + 1)  // 1 + A = 1
= AB' + C'

Option (A) is correct.
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