Questions tagged [finite-automata]

235 questions
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For $n\ge 1$ let $A_n =\{w\in\{0,1\}^∗\mid w$ is a binary number that is a multiple of $n\}$, and prove that $A_n$ is regular.

For $n\ge 1$ let $$A_n =\{w\in\{0,1\}^*\mid w\text{ is a binary number that is a multiple of }n\}\;.$$ Prove that $A_n$ is regular. Hi. This is a problem for my finite automata class, so I don't expect an outright answer (though I wouldn't mind…
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Finite automata

I want to ask about this statement. "there exist finite automata that have a cycle, but still only accept a finite language" is it true this statement? please give me a reason? Thank you
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The effect about empty string in NFA

I am learning Sipser's book "Introduction to the Theory of Computation" on automata theory. I am confused about the effect about empty string in NFA when reading the first chapter There is a state diagram of nondeterministic finite automaton N1 If…
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