Design an arithmetic circuit with one selection variable S, two n-bit data inputs A and B and n-bit output D. The circuit generates four arithmetic operations together with the input Cin. These operations are when S=0; D= A+B for Cin=0 and D=A+1 for Cin=1. When S=1; D-A-1 for Cin=0 and D-A-B for Cin= 1. Draw the logic diagram of the arithmetic circuit for the first four stages. Explain the diagram in detail.