Use the $32-$bit long real format to find the decimal equivalent of the following floating$-$point machine number.

$0100000101001000000000000000000$

$$

a $$ xn$+1=$

$1$

$2$xn

x in $[$a$,$b$]$

$|$g

$$

$($x$)|.($This enables us to use $|$xn$+1$ xn$|$ to decide when to stop iterating.$)$