$3-$ Design a $3-$bit ripple carry adder using full adders as building blocks. Include the carry$-$in to the LSB$.$ There should be $7$ inputs: $(A_2{A}_1{A}_0)$ one $3-$bit operand, $(B_2{B}_1{B}_0)$ another $3-$bit operand, and Cin, the carry$-$in to the LSB of the adder. There should be $4$ outputs $(S_2{S}_1{S}_0),$ which is the sum, and Cout, which is the carry$-$out of the MSB$.$Give the $3$ bit ripple carry adder truth table