Implement a 11:1 multiplexer. It must take 10 data inputs A, B, C, D, E, F, G, H, I, J, and K, and output a data signal Y a) How many control inputs are required for a 11 input multiplexer (called a Mux11)? (6pts) b) Implement a 11:1 multiplexer using an incomplete truth table. Is it possible to implement a 11:1 multiplexer with K-maps? (12pts) c) Implement a 11:1 multiplexer using a minimum 2:1 multiplexers. (6pts) d) Create a multiplexer with 11 groups of 2 input bits and one group of 2 output bits (called a Mux11x2) (6pts) Note: you must create parts for 2b, 2c, and 2d. Be sure to turn in your.cct and.clf files. You may (in fact should) use your part from 2b or 2c to implement your part in 2d