PLA

Design a PLA that implements the following three Boolean functions:

A(w,x,y,z) = ?m(4, 5, 7, 12, 13, 15)

B(w,x,y,z) = ?m(0, 1, 4, 5, 8, 9, 11, 12, 13, 15)

C(w,x,y,z) = ?m(0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 14)

Make sure the PLA is as optimal as possible. Show your work for the optimization process, the selection process, and the circuit design.