# Reduce the Following Boolean Expression to Its Simplest Form Using K-map: E (U, V, Z, W) = Sum (2, 3 , 6, 8, 9, 10, 11 , 12 , 13 ) - Computer Science (Python)

Reduce the following Boolean Expression to its simplest form using K-Map:

E (U, V, Z, W) = sum (2, 3 , 6, 8, 9, 10, 11 , 12 , 13 )

#### Solution

Quad 1 (m_2 + m_3 + m_10 + m_11) reduces to Wbar(V)

Quad 3 (m_8 + m_8 + m_12 + m_13) reduces to bar(W)U

Pair 1 (m_2 + m_6) reduces to bar(U)Wbar(Z)

:. F(U, V, W, Z) = Wbar(V) + bar(W)U + bar(U)Wbar(Z)

Concept: Use of Karnaugh Map for Minimization of Boolean Expressions (Up to 4 Variables)
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