EEL3712 Logic Design Fall 2018 page 4 2. (16pts 4+3+4+3+2) Solve the following questions, including all diagrams and necessary intermediate steps. 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 made. Note the input data is labeled as Io. It,12..., and the select signals are So. Si, S2 b) Please use only 2-to-1 MUX(s) to build a two input XOR gate. 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 e) Optional Bonus (2 points gates are needed in order to realize the two-input XOR gate? gates two 2-to-1 MUX, and give the associated logic equation. ) Please design a 9-t0-1 MUX using two 4-to-1 MUX and