Show all work please!

1. Consider the function f(a, b, c) = 2(1,4,5,6). Use a truth table to derive a circuit for f that uses: a) a 4-to-1 multiplexer with a and bused as the selector inputs of the MUX. b) a 4-to-1 multiplexer with b and used as the selector inputs of the MUX. c) a 2-to-1 multiplexer with a used as the selector input of the MUX. Draw a circuit with the correct sized mux for each solution. If desired, you can utilize the two symbols below for your mux's. You can write the Boolean expression for each mux input (you do not have realize the expression using logic gates). 12 11 10 5150 11 10