Implement the following Boolean function with a 4x1 multiplexer and external gates:
a) F1 = ZA,B,C,D(1,3,4,11,12,13,14,15)
b) F2 = ZW,X,Y,Z(2,3,4,5,8,10,12,14)
c) Consider the function F with three inputs given in the figure below. Draw a circuit for F using a 4x1 multiplexer and one NOT gate. (30 points)
A
B
C
F
0 0 0 0 1 1
0 0 1 1 0 0 1 1
0
1
1
1
0
1
1 0
1
0
1
1
1
1
0