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union of dfa

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can anyone tell me when we have to perform DFA UNION , CONCATENATION OR CROSS PRODUCT ???
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Suppose in a given string a's are divisible by 2 and/or b's divisible by 3 then to find product automata cross product of states of both automata should be done....

In both And opn and OR opn cross product should be done
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sumit goyal 1 asked Jul 14, 2017
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HenryAsks21 asked Mar 4, 2022
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For any language, if the union of both is regular, then are those languages regular languages as well?
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