Consider a $8$

$-$bit floating$-$point representation based on the IEEE floating$-$point format, with one sign bit, $3$

exponent bits and $4$

fraction bits. The exponent bias follows the IEEE standard.

Convert the decimal floating point number $0\mathrm{.}625$

$($or $58$

$)$ to the appropriate IEEE representation. Enter the binary representation of each field $($sign$,$ exp, fraction$)$