$2.[30$ points$]$ Please answer the following questions about RISC$-$V floating$-$point representation:

a$.$ Please represent the number $-165\mathrm{.}625$ using the single$-$precision IEEE $754$

floating$-$point format.

b$.$ What is the range $($i$.$e$.,$ lower bound and upper bound$)$ of floating$-$point numbers

that the single$-$precision IEEE $754$ floating$-$point format can represent? What

problems it will cause if the floating$-$point number we want to represent goes

below the lower bound or above the upper bound? What would be a solution to

such problems?