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Can a DFA recognize a palindrome number?

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Can a DFA recognize a palindrome number?

(a) Yes

(b) No

(c) Yes, with input alphabet as ∑*

(d) Can’t be determined

The question was posed to me in homework.

Question is from Deterministic Finite Automata-Introduction and Definition topic in division Finite Automata of Automata Theory

1 Answer

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Best answer
Correct answer is (b) No

Explanation: Language to accept a palindrome number or string will be non-regular and thus, its DFA cannot be obtained. Though, PDA is possible.

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