Question

Minimize the following function using a Karnaugh map : F(W, X, Y, Z) = ∑(0, 4, 8, 12). 

Answer 1

Mapping the given function in a K-map, we get 1 Quad i.e.,

m₀ + m₄ + m₈ + m₁₂

= W’X’Y’Z’ + W’XY’Z’ + WXY’Z’ + WX’Y’Z’

= W’Y’Z’(X’ + X) + WY’Z’(X + X’)

= W’Y’Z’ + WY’Z’

= Y’Z’(W’ + W)

= Y’Z’

Simplified Boolean expression for given K-map is ,

F(W, X, Y, Z) = Y’Z’