Q$1(10$ points$)$: Design a combinational circuit with three inputs, $x,y$ and $z,$ and the 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 one less than the input.