Represent following floating$-$point numbers in IEEE single$-$precision $(32-$bit$)$ format:

a$.16\mathrm{.}25,$ b$.-8\mathrm{.}078125$

Show the steps done to reach the answer for each $($i$.$e$.$ how to get the S$-$bit, the

exponent, and the fraction field of the answer$).$

What is the decimal value of the following IEEE single$-$precision $(32-$bit$)$ floating$-$point

numbers $($which are shown in hexadecimal$)?$

a$.72407020,$ b$.$DFDE $4000$

Show the steps done to reach the answer for each. $5$pts for each answer.