Last Updated : 20 Nov, 2018

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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