Design a 4-bit arithmetic circuit, with two selection variables S₁ and S₀, that generates the arithmetic operations in the following table. Draw the logic diagram for a typical single- bit stage and the LSB stage.

S So 00 01 10 11 Cin = 0 F = A + B (add) F = A (transfer) F = B (complement) F = A + B Cin = 1 F = A + B + 1 F = F = F = A + 1 (increment) B + 1 (negate) A + B + 1 (subtract)