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A function (A, B, C) defined by three boolean variables A, B, and C when expressed as the sum of products is given by: F = A̅.B̅.C̅ + A̅.B.C̅ + A.B̅.C̅ where, A̅, B̅, and C̅ are the complements of the respective variables. The product of sums (POS) form of the function F is

A function (A, B, C) defined by three boolean variables A, B, and C when expressed as the sum of products is given by: F = A̅.B̅.C̅ + A̅.B.C̅ + A.B̅.C̅ where, A̅, B̅, and C̅ are the complements of the respective variables. The product of sums (POS) form of the function F is Correct Answer F = (A + B + C̅) . (A + B̅ + C̅) . (A̅ + B + C̅) . (A̅ + B̅ + C) . (A̅ + B̅ + C̅)

F = A̅.B̅.C̅ + A̅.B.C̅ + A.B̅.C̅

In terms of minterms, this can be represented as:

F = ∑m (0, 2, 4)

The equivalent maxterm will contain the terms not present in the minterm representation, i.e.

F = ∑m (0, 2, 4) = π(1, 3, 5, 6, 7) = M1. M3. M5. M6. M7

⇒ (A + B + C̅) (A + B̅ + C̅) (A̅ + B + C̅) (A̅ + B̅ + C) (A̅ + B̅ + C̅)

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