Problem $5(20$ points$)$: Consider the decimal number $43\mathrm{.}75$:

a$.(9$ points$)$ Convert this decimal number into a binary number.

b$.(10$ points$)$ Convert the binary number from $($a$)$ into IEEE $754$ Floating$-$Point Binary

Format. Indicate the sign bit, the biased exponent, and the fraction.

c$.(1$ point$)$ Convert the binary number from $($b$)$ to hexadecimal.