Design an arithmetic circuit with two selection variables $S1$ and $S0$ and two $n-$bit data inputs A and $B.$ The circuit generates the following eight arithmetic operations in conjunction with carry Cin $($Show your circuit, you can use Adder as block diagram$)$

$\backslash$table$[[$S$1,$So$,$Cin$=0,$Cin$=1],[0,0,F=A+B($add$),F=A+B^{\text{'}}+1($subtract $A-B)],[0,1,F=A+B^{\text{'}}($subtract B$-$A$),F=A+B$