Question: Problem 520 pts Consider the example in lecture 3 of a DFA that accepted the language of all binary numbers that are divisible by 3.

Problem 520 pts Consider the example in lecture 3 of a

Problem 520 pts Consider the example in lecture 3 of a DFA that accepted the language of all binary numbers that are divisible by 3. It had 3 states. Do you think it is possible to design a DFA with only two states that accepts precisely this language? If so, demonstrate it with a two-state DFA and a proof that the accepted language is precisely binary strings representing numbers divisible by 3. Otherwise, prove that such a two-state DFA is impossible

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