Question

Write the equivalent Canonical Product of Sum Expression for the following Sum of Product Expression : F(X, Y, Z) = ∑(0, 2, 4, 5)

Answer 1

Given SOP expression : F(X, Y, Z) = ∑(0, 2, 4, 5)

Equivalent POS expression : π(1, 3, 6, 7)

Equivalent POS expression will be = M₁.M₃.M₆.M₇ 

M₁ = (0 + 0 + 1)’S Maxterm = (X + Y + Z)

M₃ = (0 + 1 + 1)’S Maxterm = (X + Y’ + Z’)

M₆ = (1 + 1 + 0)’S Maxterm = (X’ + Y’ + Z)

M₇ = (1 + 1 + 1)’S Maxterm = (X’ + Y’ + Z’) 

∵ Equivalent POS will be

F(X, Y, Z) = (X + Y + Z). (X + Y’ + Z’). (X’ + Y’ + Z).