8. BONUS (20pts) Given a system with 4 inputs A,B,B and D. The first two inputs A and B represent one binary number in the range 0 to 3 . The last two inputs C and D also represent another binary number in the range 0 to 3 . There are three outputs, X,Y and Z. c. Show a truth table such that Y and Z represent a number equal to the magnitude (that is, absolute value) of the difference of the two sets of inputs. X is 1 if and only if the first number (represented by A and B ) is larger. d. Use K-map to find out the minimized Boolean equation for each output