Consider a hexadecimal number system $($base $16)-$ develop an algorithm similar to that in

Example $1\mathrm{.}4\mathrm{.}1$ to find the hexadecimal representation of any decimal number. Find the

hexadecimal representation of the decimal numbers $2022$ and $14,$ then show how to multiply

the hexadecimal numbers.

hint: you'll first need to specify $6$ symbols to denote $10-15.$Example $1\mathrm{.}4\mathrm{.}1.$ An example of conversion to binary.

To determine the binary representation of $41$ we take the following steps:

$41=220+1,$ List $=1$

$20=210+0,$ List $=01$

$10=25+0,$ List $=001$

$5=22+1,$ List $=1001$

$2=21+0,$ List $=01001$

$1=20+1,$ List $=101001$

Therefore, $41={101001}_{\text{t}\text{w}\text{o}}$