Design an arithmetic circuit with one selection variable S and two n-bit data inputs A and B. The circuit generates the following four arithmetic operations in conjunction with the input carry C_in. Draw the logic diagram for the first two stages.

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S 0 1 Cin=0 D A + B (add) DA 1 (decrement) Cin = 1 DA +1 (increment) D= A + B + 1 (subtract)