Question #43376

Simplify the following Boolean function using k -map
F = A’C + A’B + AB’C + BC

Expert's answer

Answer on Question #43376 – Math - Discrete Mathematics

Simplify the following Boolean function using k -map


F=AC+AB+ABC+BCF = A'C + A'B + AB'C + BC


Solution.

Truth table of a function:



Hence, F=m(1,2,3,5,7)=ABC+ABC+ABC+ABC+ABC.F = \sum m(1,2,3,5,7) = A'B'C + A'BC' + A'BC + AB'C + ABC.

Answer: F=ABC+ABC+ABC+ABC+ABC.F = A'B'C + A'BC' + A'BC + AB'C + ABC.

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