Assume we are using the simple model for floating$-$point representation as given in the text $($the representation uses a $14-$bit format, $5$ bits for the exponent with a bias of $16,$ a normalized mantissa of $8-$bits, and a single sign bit for the number$)$: Show how the computer would represent the number $120\mathrm{.}321$ using this floating$-$point format.

$120\mathrm{.}321=1111000\mathrm{.}01010010001011010001($don$\text{'}$t need all these decimal places $-$ only enough to fit in format$)$

$11011111110000$

$01010101111000$

$11010101111000$

$01011111110000$

$01010101110000$