$($a$)$ Write $7$ in $2$s complement notation, with $7$ bits.

$($b$)$ Write $9$ in $2$s complement notation, with $7$ bits.

$($c$)$ Show that $7\backslash$times $9=63,$ performing the operation directly in binary.

$($d$)$ With $12$ bits, what range of positive and negative numbers can you represent?

$($e$)$ Write $-29$ in $2$s complement notation, with $12$ bits.

$($f$)$ Write $42$ in $2$s complement notation, with $12$ bits.

$($g$)$ Show that $29\backslash$times $42=1,218,$ performing the operation directly in binary