Minimize the following expressions using K-Maps

Minimize the following expressions using K-Maps. (20 points) a) F (A,B,C,D) = A,B,C,D, + AC,D, + B,CD, + A'BCD+ BC,D b) F(A,B,C)-ABC A'B+ ABC c) F (A,B,C) = (A + B + C), + (A B C') + B'C d) F-A'C+A'B +ABC+BC 1