Question $2-$ Range of signed $16-$bit numbers using two's complement $(6$ pts$)$

$($a$)$ What is the smallest signed $16-$bit number in decimal?

$($b$)$ What is the largest signed $16-$bit number in decimal?

$-32768$

$($c$)$ What is the smallest signed $16-$bit number in hexadecimal?

Enter a hexadecimal number with four digits and the leading $0x,$ e$.$g$.,0\frac{12}{b}ar(AB).0800$

$($d$)$ What is the largest signed $16-$bit number in hexadecimal?

Enter a hexadecimal number with four digits and the leading $0x,$ e$.$g$.,012AB\mathrm{.}07ff$