Implement a Full Adder by using two 4-to-1 MUXes and one inverter. Connect X and Y to the control inputs of the MUXes, and connect 1s, 0s, Cin, or Cin to each data input.

I know (because it was solved by my instructor) that for Sum the inputs are C, C, C' and C. For the Cout the inputs are 0, C, C and 1. I just need an explanation how we get to this conclusion.