Design a combinational circuit with three inputs, x , y, and z, and three outputs, A, B , and C . When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is two less than the input.

1) Truth table 2) Logic circuit

3) Boolean function of A using minterms ( use Boolean algebra)

4) Boolean function of B using maxterms ( use Boolean algebra)

5) Boolean function of C using literals x,y,z and NAND gates