Using MATLAB and proceeding as in the example of $(2\mathrm{.}6)-(2\mathrm{.}7),$ find the binary double precision IEEE floating$-$point expressions for the following numbers:

$($a$)8$

$($b$)12$

$($c$)1\mathrm{.}5$

$($d$)0\mathrm{.}5$

$($e$)1\mathrm{.}25$