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Reduce the Boolean function F (A,B,C,D) = π (0, 2, 4, 6, 8, 9, 10, 11, 14) by using 4-variable Karnaugh map, showing the various groups (i.e., octal, quads and pairs). - Computer Science (Theory)

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Question

Reduce the Boolean function F (A,B,C,D) = π (0, 2, 4, 6, 8, 9, 10, 11, 14) by using 4-variable Karnaugh map, showing the various groups (i.e., octal, quads and pairs).

Answer in Brief

Solution

F(A,B,C,D)"= n (0,2,4,6,8,9,10,11,14)

K-Map

Quad 1 (m0,m2,m4,m6) = A+D

Quad 2 (m2,m4,m14,m10) = C'+D

Quad 3 (m8,m9,m11,m10) =A'+B

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