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Question: the language below is the intersection of two simpler languages...

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The language below is the intersection of two simpler languages. First, identify the simpler languages and give the state diagrams of the DFAs that recognize them. Then, use the OR construction to build a DFA that recognizes the language specified below; give its state diagram before and after simplification if there are any unneeded states or states that can be combined.

L, = {we { 0,1} | w contains an odd number of 0s or the sum of its Os and is is equal to l}

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