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.$\backslash$

f: The value of the fraction

M: The value of the significand

Decimal: The decimal representation of the number

Bits e E $2$E f M Decimal

$00000000$

$00000110$

$00001001$

$00110110$

$01111000$

$01111010$

$10110110$