Convert the following decimal numbers into $2-$digit hexadecimal numbers,

showing both digits preceded with the standard $0$x$($example: decimal $0$ is $0$x$00$ in

hex$)$ to indicate that the number is in hexadecimal. Convert them to binary numbers first.

Show steps.

a$.$ Convert decimal $31$ into hexadecimal.

b$.$ Convert decimal $166$ into hexadecimal.