Design a half subtracter (HS) that has two input bits X and Y , and two output bits D and B. Where D is the difference between X and Y , and B is the borrow signal.

(a) Provide a truth table of the half subtracter. (b) Provide a Boolean expression for each output, and use Karnaugh maps to simplify each output.

(c) Draw the logic diagram to implement this circuit.