Q$1.$ Given A $=17\mathrm{.}52$ and B $=26\mathrm{.}24($Don$\text{'}$t ignore the numbers after the decimal point$)$

$($a$)$ Use binary to convert between octal and hexadecimal: convert hexadecimal numbers $17\mathrm{.}52$ and $26\mathrm{.}24$ into their corresponding octal numbers.

$($b$)$ Convert decimal numbers $17\mathrm{.}52$ and $26\mathrm{.}24$ into their corresponding binary numbers with at least $5$ bits in their integer parts and $4$ bits in their fractional parts.

$($c$)$ By using the results obtained in part $($b$),$ calculate $17\mathrm{.}5226\mathrm{.}24$ using binary arithmetic with $2$s complement, show your answer in decimal number.

$($d$)$ By using the results obtained in part $($b$),$ multiply A$$s fractional part with $26\mathrm{.}24$ fractional part using binary arithmetic, show your answer in decimal number.

Show appropriate steps in your conversions and calculations.