$(25$ points$)$

$($i$)$ Give a DFA, $M_1,$ that accepts a Language $L_1$ that contains even number of $0\text{'}$s$.($Hint: only $2$ states$)(4$ points$)$;

$($ii$)$ Give a DFA, $M_2,$ that accepts a Language $L_2$ that contains odd number of $1\text{'}$s $(4$ points$)$;

$($iii$)$ Give acceptor for Reverse of $L_1(4$ points$)$;

$($iv$)$ Give acceptor for $L_1$ intersection $L_2(9$ points$)$;