$3.[10$ points$]$

$-[2$ points$]$ Draw a circuit diagram $($not the symbol!$)$ implementing a $2-$bit multiplexor.

$-[2$ points$]$ Write down the truth table of a $2-$bit multiplexor, in terms of the $3$ input wires: $2$ data wires denoted $\backslash ($ A$,$ B $\backslash )$ and $1$ selector wire denoted $\backslash ($ S $\backslash ).$

$-[6$ points$]$ Consider the $6$ input wires to a $4-$bit multiplexor, where the $4$ data wires are denoted $\backslash ($ A$,$ B$,$ C$,$ D $\backslash )$ and the $2$ selector wires $\backslash ($ S$\_\{1\},$ S$\_\{2\}\backslash ).$ Find the output $\backslash ($ W $\backslash )$ corresponding to the following rows. You can fill in the blanks in the table below. Justify your answers in brief for the two rows of the table.