Suppose that the universal set is $U=\{1,2,3,4,5,6,7,8,9,10\}.$ Express each of the following subsets with bit strings $($of length $10)$ where the ith bit $($from left to right$)$ is $1$ if $i$ is in the subset and zero otherwise.

$($a$)\{3,4,5\}$

$($b$)\{1,3,6,10\}$

$($c$)\{2,3,4,7,8,9\}$