The Boolean expression Y = (A + B\’ + A\’B)C\’ is given by
(A) AC\’
(B) BC\’
(C) C\’
(D) AB
Answer: (C)
Explanation:
Y = (A + B\' + A\'B)C\'
Y = AC\' + B\'C\' + A\'BC\'
Y = (A + A\'B)C\' + B\'C\'
Y = (A + B)C\' + B\'C\'
Y = AC\' + BC\' + B\'C\'
Y = AC\' + C\'(B + B\') // B + B\' = 1
Y = AC\' + C\'
Y = C\'
So, option (C) is correct.
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