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GATE | GATE CS 2011 | Question 14

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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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Last Updated : 19 Nov, 2018
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