(Multiplexers) Assume a dual-railed system, where you have access to any vari- able and its complement. Implement the following four-input Boolean function as indicated in each of the following subsections.
f (a, b, c, d) = Summation m(1, 2, 5, 7, 8, 12, 14) + Summation d(3, 6).
5.1. Implement the function using a minimal network of 8:1 multiplexers.
5.2. Implement the function using a minimal network of 4:1 multiplexers.
5.3. Implement the function using a minimal network of 2:1 multiplexers.