Consider a $7$

$-$bit floating$-$point representation based on the IEEE floating$-$point format, with one sign bit, $3$

exponent bits and $3$

fraction bits. The exponent bias follows the IEEE standard.

Interpret the bitstring $0\_110\_0102$

using this $7$

$-$bit floating$-$point representation and fill in the table below.

You must express your results precisely $($e$.$g$.$ using rationals $($M$/$N$)$ and exponents $($MN$),$ rather than approximate decimal fractions such as $0.$ABCD$).$ You may use expressions if it's useful.