a) Build a 8-to-1 MUX from a number of 4-to-1 MUX(s) and 2-to-1 MUX(S). Please also give the logic equation for the 8-to-1 MUX that you c) Please use only NAND gates to build a two input XOR gate. How many NAND d Optional Bonus (3 points) Please redesign this XOR gate using only four NAND made. Note the input data is labeled as lo, I1,12..., and the select signals are So, S, S2,. b) Please use only 2-to-1 MUX(s) to build a two input XOR gate. gates are needed in order to realize the two-input XOR gate? gates e) Optional Bonus (2 points) Please design a 9-to-1 MUX using two 4-to-1 MUX and two 2-to-1 MUX, and give the associated logic equation