A function F(A, B, C) defined by three Boolean variables A, B and C when…
GATE · 2018 · EC · Electronics and Communication Engineering
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+B+C̄)·(A+B+C)
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