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Official PYQ · 2018

GATE EC 2018 Set 1 Q9 — Combinatorial Circuits

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A function F(A,B,C)F(A, B, C) defined by three Boolean variables A, B and C\text{A, B and C} when expressed as sum of products is given by

F=A‾ .B‾ .C‾+A‾ .B .C‾+A .B‾ .C‾F=\overline{A}\:.\overline{B}\:.\overline{C}+\overline{A}\:.B\:.\overline{C}+A\:.\overline{B}\:.\overline{C}

where, A‾ ,B‾ ,and C‾\overline{A}\:,\overline{B}\:,and\:\overline{C} are the complements of the respective variables. The product of sums (POS)\text{(POS)} form of the function FF is 

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Answer: C

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