Consider two decimal numbers: X $=88\mathrm{.}4375$ and Y $=7\mathrm{.}3125.$

$($a$)(6$ points$)$ Write down X and Y in the IEEE $754$ single precision format. You must

detail how you get your answer, or you will receive $0$ point.

$($b$)(4$ points$)$ Assuming X and Y are given in the IEEE $754$ single precision format.

Show all the steps to perform X $\backslash$times Y and write the solution in the IEEE $754$ single

precision format.