Part $3$: Adder

a$.$ Design an adder of $3$ numbers. $A+B+C$

b$.$ Each number is $2-$bit number. $A_1{A}_0$;$B_1{B}_0$;$C_1{C}_0$

c$.$ Inputs and Outputs should be as follows:

$***$ Do not write a programming code. Instead, draw a diagram $***$