Represent decimal $-25\mathrm{.}5$ as a single precision floating point using IEEE $754$ standard:

a$)$ What is the value in binary of each of the fields for this number IEE$754$ floating point standard representation. Show your work in calculating each field value.

b$)$ How did you calculated the exponent value? Explain.

c$)$ What will be the equivalent hexadecimal value of the $32$ bits IEEE$754$ single precision floating point binary representation.