It is often convenient to write IEEE $32-$bit numbers in hexadecimal $($since they are only $8$ digits$).$ For example, the number $+1\mathrm{.}52^4$ has Sign$=0,$ Mantissa$=1\mathrm{.}5,$ Exponent$=4,$ Biased Exponent$=4+127=131,$ and Adjusted Mantissa $=0\mathrm{.}5.$ This means the $32-$bit representation would be:

$010000011100000000000000000000000$

Instead of writing with $32$ bits, we write it in hexadecimal $($which only has $8$ digits$)$ as $\}\{00000\}.$

Armed with this knowledge, convert the following floating$-$point binary numbers into their corresponding decimal value.

$($i$){40700000}_{16}$

$($ii$){80000000}_{16}$

$($iii$)7F{800000}_{16}$

$($iv$)FF{800000}_{16}$