ISRO | ISRO CS 2007 | Question 1

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.
Quiz of this Question