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Construct an NFA that recognizes the following languages: 1. All binary numbers that can be divided by 8 2. All binary numbers that contain 00

Construct an NFA that recognizes the following languages:

1. All binary numbers that can be divided by 8

2. All binary numbers that contain 00 or 11

3. (ab)* + a(aa + bb)* bb

Then construct a DFA from the NFAs in the previous question.

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