(Solved): Design a combinational circuit with three inputs x,y and z and three outputs A,B,C. When the binary ...

Design a combinational circuit with three inputs $$\mathrm{x},\mathrm{y}$$ and $$\mathrm{z}$$ 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.