$4)$ Starting with the decimal numbers P $=45$ and Q $=9$

$($a$)$ Convert P and Q to unsigned $8-$bit binary and hexadecimal representations

$($b$)$ Multiply the values of P and Q using hand$-$calculated binary multiplication up

to $16-$bits and convert the result into its hexadecimal and decimal

representations.

Check the result using decimal multiplication. Show all work