Write down the binary representa$>$on of the decimal number $63\mathrm{.}25$ assuming the

IEEE $754$ single precision format. $[10$ points$]$

Direc$>$on$($s$)$:

$$ Floa$>$ng point nota$>$ons have no leading zeros on the lem side of the decimal point.

$$ Scien$>$fic nota$>$on renders numbers with a single digit to the lem of the decimal point.

$$ Value generally between $0$ and $1$ is placed in the frac$>$on part which is called man$>$ssa.

$$ Single precision floa$>$ng point will have $1$ sign bit, $8$ exponent bits, and $23$ bits for frac$>$on

$($man$>$ssa$).$

$$ IEEE $754$ uses a bias of $127$ for the single precision.