Consider an $8-$bit floating$-$point representation based on the IEEE floating$-$point format, with one sign bit, four exponent bits $(k=4),$ and three fraction bits $(n=3).$

$($Hint: the exponent bias is $2^{k-1}-1)$

Fill in the blank table entries using the following directions:

e: The value represented by considering the exponent field to be unsigned integer.

$E$ : The value of the exponent after biasing.

$2^E$ : The numeric weight of the exponent. $\frac{\frac{?}{?}}{?}$

$f$ : The value of the fraction

M: The value of the significand

Decimal: The decimal representation of the number