Given an $8-$bit floating point number in the format:

$8$ total bits

$3$ bit exponent

bias of $3$

denormal encodings supported

Implement the following function in C$,$ which returns the corresponding $32-$bit floating point number in the format:

$32$ total bits

$8$ bit exponent

bias of $127$

denormal encodings supported

$($this shouldn't matter outside of the two special cases of $0,$ your output should never otherwise have an exponent of all zeros$)$

You can handle both the normal and denormal cases separately, and both should be doable using bitwise operations without ever getting back the decimal representation of the number. Your input will be in the bottom $8$ bits of the fp parameter.

Fill in the following starter code. Keep the same function name unsigned int fp$\_$convert$(...).$ Make sure any variables you define are of type unsigned int to avoid issues with shifting two's complement values.