Design a 3-bit 2s-complementer, that is, the output generates the 2s-complement of the input binary number (e.g., 101 011):

a) Show the truth table.

b) Show the Boolean expression(s) for the output(s) in sum-of-minterms.

c) Algebraically, simplify the Boolean expression(s).

d) Design the circuit using NAND gates only