Write a vhdl codr for a $16-$bit Adder to add $216-$bit binary numbers$($A$15,$A$14,$A$13,$A$12,$A$11,$A$10,$A$9,$A$8,$A$7,$A$6,$A$5,$A$4,$A$3,$A$2,$A$1,$A$0$ and $B15,B14,B13,B12,B11,B10,B9,B8,B7,B6,B5,B4,B3,B2,B1,B0$ with $A0$ and $B0$ being least significant bits$)$ and a $1-$bit Carry$-$in $($Cin$),$ and results in a $16-$bit Sum $($S$15,$S$14,$S$13,$S$12,$S$11,$S$10,$S$9,$S$8,$S$7,$S$6,$S$5,$S$4,$S$3,$S$2,$S$1,$ S$0)$ and $1-$bit Carry$-$out $($Cout$)$ with component you built, and draw the circuits