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3. Find a regular expression for each of the following languages: (a) The set of binary expansions of integers which are powers of 4. (b)

3. Find a regular expression for each of the following languages: (a) The set of binary expansions of integers which are powers of 4. (b) The set of binary strings which have no sub-strings 001. (c) The set of all strings with at most one pair of consecutive 0s and at most one pair of consecutive 1s.

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