Question

Obtain a simplified form for the following Boolean Expression using Karnaugh’s Map :

F(u, v, w, z) = ∑(0, 3, 4, 5, 7, 11, 13, 15).

Answer 1

There are 2 Pairs and 1 Quad that reduce as given below: 

Pair-1(m₀ + m₄) reduces to u’w’z’ 

Pair-2(m₅ + m₁₃) reduces to vw’z

Quad(m₃ + m₇ + m₁₁ + m₁₅) reduces to wz Simplified Boolean expression for given K-map is

F(u, v, w, z) = u’w’z’ + vw’z + wz