if you could write out the circuit on a piece of paper that would be a huge help.

Design a circuit that takes five input-bits b1,b2,,b5 representing the binary number b5b4b3b2b1 and has five output bits c1,c2,,c5 where c5c4c3c2c1 is the two's complement of b5b4b3b2b1. For example, if the input was b5=1,b4=1,b3=0,b2=0,b1=1 which is 7 in two's complement, then the output would be c5=0,c4=0,c3=1,c2=1,c1=1 which is 7 in two's complement. Your circuit can use the half-adder and/or full-adder circuits that we designed in lecture