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

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