A computer system has a $16-$bit address bus and can address an $8-$bit wide memory. The memory of this computer system contains $8$ Kbytes of ROM, $32$ Kbytes of user RAM and $8$ Kbytes of video RAM. The ROM, user RAM and video RAM form a contiguous block of memory starting at address $0.$ The rest of the address range is not used. Explain how data is represented, structured, and stored by answering the following questions.

$($a$)$ Draw a memory map for the computer system. Indicate the starting and ending addresses in hexadecimal for each block of memory and any unused space. Show your working.