Question

Convert the following Boolean expression into its equivalent Canonical Sum of Product Form(SOP).

(U’ + V’ + W’).(U + V’ + W’).(U + V + W)

Answer 1

Given (U’ + V’ + W’).(U + V’ + W’).(U + V + W)

(1 + 1 + 1) (0 + 1 + 1) (0 + 0 + 0)

= M₀.M₃.M₇

= π(0, 3, 7) 

SOP is equal to(excluding position of Maxterms)

= ∑(1, 2, 4, 5, 6)

= m₁ + m₂ + m₄ + m₅ + m₆ 

= U’V’W + U’VW’ + UV’W’ + UV’W + UVW’