(c) F(X,Y,Z) = X + X ·Z + X · Y + X · Y · Z
Using K-maps, obtain minimum SOP expressions for the following Boolean functions.
(a) F(X,Y,Z) = X-Y-Z+X.Y.Z+X.Y.Z
(b) F(X,Y,Z) = X · (Y · Z+Y·Z) + X(Y.Z+Y.Z)
(c) F(X,Y,Z) = X+X·Z+X·Y+X· Y.Z
(d) F(X,Y,Z) = (X+Y)· (X+Y+Z)
(e) F(X,Y,Z) = (X + Z)· (Y + Z) · (X+Y)· (X + Ỹ+Z)
.
for the following Boolean functions using K-maps.