Question

Obtain a simplified expression for a Boolean function F(X, Y, Z), the Karnaugh map for which is given bellow :

Answer 1

Completing the given K-map We have 1 group which is Quad i.e., m1 + m3 + m5 + m7

= X’Y’Z + X’YZ + XY’Z + XYZ

= X’Z(Y’ + Y) + XZ(Y’ + Y) 

= X’Z + XZ = Z(X’ + X)

=Z

Simplified Boolean expression for given K-map is F(X, Y, Z) = Z