$)$ Suppose that you have a computer that uses base $2$ with a mantissa m having $20$ digits

and an exponent e having $7$ digits.

$($a$)$ Write out the formula for the $$normal numbers$$ in this case.

$($b$)$ Consider only the positive values for simplicity, i$.$e$.$ ignore the signed bit $($s $=0),$

and determine the maximum and minimum values which can be represented, the

maximum round$-$off and the relative precision.

$($c$)$ For what values of x in R does