(a) Using a 4-bit binary adder with inputs (A, B, and Cin), outputs (F and Cout), and one selection bit (S0), design an arithmetic circuit as follows: 

S0      FUNCTION TO BE PERFORMED
0         A plus B 

1         B Plus 1 

(b) Using another selection bit S1, modify the circuit of i) to include the arithmetic and logic functions as follows:

S1      S0      FUNCTION TO BE PERFORMED 

0          0      F = A plus B
0          1      F = B
1          0      Shift left (logical) A
1          1      F = A̅

(c) Design a 4-bit logic unit that will function as follows: 

S1 0 0 1 1 SO 0 1 0 1 F A + B A B A A OB