EC > GATE 2018 > Boolean Algebra
A function F(A,B,C) defined by three Boolean variables A, B and C when expressed as sum of products is given by F=Ā·B̄·C̄+Ā·B·C̄+A·B̄·C̄ where, Ā, B̄, and C̄ are the complements of the respective variables. The product of sums (POS) form of the function F is
A
F=(A+B+C)·(A+B̄+C)·(Ā+B+C)
B
F=(Ā+B̄+C̄)·(Ā+B+C̄)·(A+B̄+C̄)
C
F=(A+B+C̄)·(A+B̄+C̄)·(Ā+B+C̄)·(Ā+B̄+C)·(Ā+B̄+C̄)
D
F=(Ā+B̄+C)·(Ā+B+C)·(A+B̄+C)·(A+B̄+C)·(A+B+C̄)·(A+B+C)

Correct : c

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