$($a$)$ Convert the decimal number ${13\mathrm{.}32}_{10}$ into the following notations:

i$.$ Binary notation $($up to $4$ binary points$)$

ii$.$ Octal notation $($up to $2$ octal points$)$

iii. Hexadecimal notation $($up to $1$ hexadecimal point$)$

$($b$)$ State $2$ reasons for the usage of hexadecimal notation.Assume that a processor employs a memory address register $($MAR$),$ a memory buffer register

$($MBR$),$ a program counter $($PC$),$ and an instruction register $($IR$),$ supporting only one$-$address

instructions. List the symbolic sequence of micro$-$operations for the below instruction.

SUB R$1,$ #$01000$

It denotes Subtract the data at #$0$x$1000$ from the data stored in Register $1$ and store the result

in $R1.$

$[3$ Marks$]$