Suppose a language \(L_1\) has 2 states and \(L_2\) has 2 states. After using the cross product construction method, we have a machine \(M\). The total number of states in \(M\) are
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Cross Product Construction:
If DFA\(_1\) has \(m\) states and DFA\(_2\) has \(n\) states,
then product DFA has
\[
m\times n
\]
states.