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2. (10 marks) Design a DFA accepting the following language over the alphabet [0, 1: the set of all strings that, when interpreted in reverse

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2. (10 marks) Design a DFA accepting the following language over the alphabet [0, 1: the set of all strings that, when interpreted in reverse as a binary integer, are divisible by 3. Examples: 0, 11, 10010, 10101. Non- examples: 1, 01, 0111. Never mind the possible leading zeros on the right end

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