Give DFA's accepting the following languages over the alphabet $\{0,1\}$
$a)$ The set of all strings beginning with a $1$ that $,$ when interpreted as a binary integer $,$ is a multiple of $5$ For example $,$ strings $101,1010,$ and $1111$ are in the language$;$ $0,100,$and $111$ are not$.$
$b)$ The set of all strings that when interpreted in reverse as a binary integer $,$ is divisible by $5.$ Examples of strings in the language are $0,10011,1001100,$ and $0101.$