5. (10 points) Implement F(x,y)=x XOR y using only four 2-input NAND gates. Show the details of your solution. 6. (20 points) Design a combinational circuit that has 3 inputs (x,y,z) and three outputs (A,B,C). When the decimal equivalent value of the binary inputs is equal to any of the following values: 3,4,5,6,7, then the outputs represent the binary equivalent value of the inputs minus 1 ; Otherwise, the outputs represent the binary equivalent value of the inputs plus 2 . a. Build the truth table. b. Write down the min-terms expansion of each output. c. Use Boolean algebra theorems to simplify each output function. d. Use the expressions obtained in part c to build the logic circuit