Give a normalized binary representation with a $4-$bit mantissa $($b$1.$b$2$b$3$b$4\backslash$times $2$

$$

$)$

of the following numbers $($use rounding to truncate$).$ Calculate the relative

rounding error in each case.

$($a$)0\mathrm{.}17$

$($b$)5\mathrm{.}6$

$($c$)5\mathrm{.}1875$

$($d$)13\mathrm{.}5$