Implement a 10:1 multiplexer. It must take 10 data inputs A, B, C, D, E, F, G, H, I, and J, then output a data signal Y. a) How many control inputs are required for a 10 input multiplexer (called a Mux10)? (3pts) b) Implement a 10:1 multiplexer using an incomplete truth table. Is it possible to implement a 11:1 multiplexer with K-maps? (6 c) Implement a 10:1 multiplexer using a minimum number of 2:1 multiplexers. (3pts) d) Create a multiplexer with 10 groups of 2 input bits and one group of 2 output bits (called a Mux10x2). (3pts) Note: you must create parts for b, c, and d. Be sure to turn in your.cct and.clf files. You may (in fact should) use your part from b or c to implement your part in d