EEE single precision numbers store $23$ bits in the fraction $($not including the implicit leading

$1$

$).$ The smallest possible exponent value in the format is

$$

$126$

$.$

If you want to store a number

x

$<$

$2$

$$

$132$

$,$ what is the largest possible number of significant bits in the machine representation of your number $($significant bits are binary equivalent of significant digits$).$

Note:Your answer to this question should be an integer, and should be entered exactly, without rounding.