Assume you have the following truth tables for functions
F1(w, x, y, z) and F2(w, x, y, z):

W X Y Z F1 F2
0 0 0 0 0 0
0 0 0 1 1 1
0 0 1 0 0 0
0 0 1 1 1 1
0 1 0 0 0 0
0 1 0 1 0 0
0 1 1 0 0 0
0 1 1 1 0 0
1 0 0 0 0 0
1 0 0 1 1 0
1 0 1 0 0 0
1 0 1 1 1 0
1 1 0 0 1 1
1 1 0 1 1 1
1 1 1 0 1 1
1 1 1 1 1 1

(a) Express F1 and F2 in sum-of-products form.
(b) Simplify each function.
(c) Draw one logic circuit to implement the above two functions.