Create a custom $8-$bit fixed$-$point and floating$-$point format for each of the following input

ranges: $($Doesn$$t have to be the most efficient possible representation$)$

I. $[-128$ ; $127]$

Fixed point: $8$ bit $2$s compliment.

Floating point: Unsigned exponent, implicit $1($we need this to cover the range

required if we have just $3$ exponent bits$),[$S$,$ E$,$ M$]=[1,3,4].$

II$.[100$ ; $355]$

Fixed point: Unsigned binary. Bias of $+100.$

Floating point: Unsigned exponent, implicit $1,$ exponent bias of $+6,$

$[$S$,$ E$,$ M$]=[1,2,5].$

III. $[0$ ; $7]$

Fixed point: $3$ integer bits, $5$ fractional bits