GATE | GATE MOCK 2017 | Question 17

The complement of the function F = (A + B’)(C’ + D)(B’ + C) is:
(A) A’B + CD’ + BC’

(B) AB’ + C’D + B’C

(C) AB’ + CD’ + BC



(D) AB + BC + CD


Answer: (A)

Explanation: Using Demorgan’s Law (Break the line, change the sign)
Complement of

F = F’ = ((A + B’)(C’ + D)(B’ + C))’
F’ = ((A + B’))’ + ((C’ + D))’ + ((B’ + C))’

F’ = A’B + CD’ + BC’


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