Question

Obtain the simplified expression in the sum of products form, for the Boolean function F(X, Y, Z), Karnaugh map for which is given below :

Answer 1

Completing the given K-map We have 2 Pairs i.e., Pair-1 is m₃ + m₆ and Pair-2 is m₄ + m₆ 

= X’YZ’ + XYZ’ + XY’Z’ + XYZ’

= YZ’(X’ + X) + XZ’(Y’ + Y)

= YZ’ + XZ’ 

Simplified Boolean expression as sum of products for given K-map is F(X, Y, Z) = YZ’ + XZ’.