GATE | GATE CS 2011 | Question 14

The simplified SOP (Sum Of Product) form of the boolean expression (P + Q’ + R’) . (P + Q’ + R) . (P + Q + R’) is
(A) (P’.Q + R’)
(B) (P + Q’.R’)
(C) (P’.Q + R)
(D) (P.Q + R)


Answer: (B)

Explanation: See following :
(P+Q’+R’).(P+Q’+R).(P+Q+R’) = \prod(3, 2, 1) = \sum(0, 4, 5, 6, 7)
gate2011A24
From the K-map, POS form is :
P + Q’.R’



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