The binary representation of $128\mathrm{.}42\mathrm{.}5\mathrm{.}4$ is shown below.

$10000000001010100000010100000100$

If the subnet mask is $255\mathrm{.}255\mathrm{.}248\mathrm{.}0,$ label the bits that correspond to the $($a$)$ class prefix, $($b$)$ the network number, $($c$)$ the subnet number, and $($d$)$ the host number. You may assume that class$-$based IP addressing is being used for this question.