Question

The product of sum expression of a Boolean function F(A, B, C) of three variables is given by F(A, B, C) = ( A + B + C̅) ∙ (A + B̅ + C̅) ∙ ( A̅+ B + C ) ∙ ( A̅+ B̅ + C̅)

The canonical sum of product expression of F(A, B, C) is given by
1. A̅ B̅ C + A̅ B C + A B̅ C̅+ A B C
2. A̅ B̅ C̅+ A̅ B C̅+ A B̅ C + A B C̅
3. A B C̅ + A B̅ C̅ + A̅ B C + A̅ B̅ C̅
4. A̅ B̅ C̅ + A̅ B C + A B C̅ + A B C

Answer 1

Correct Answer - Option 2 : A̅ B̅ C̅+ A̅ B C̅+ A B̅ C + A B C̅

F(A, B, C) = (A + B + C̅).(A + B̅ + C̅).(A̅ + B + C).(A̅ + B̅ + C̅)

F(A, B, C) = π (M₁, M₃, M₄, M₇)

= Σ (m₀, m₂, m₅, m₆)

= A̅ B̅ C̅ + A̅ B C̅ + A B̅ C + A B C̅