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finite automata

GATE CSE & IT · Theory of Computation - Regular Expressions and Finite Automata · 1997-2025

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2025 Q59

Consider a finite state machine (FSM) with one input X and one output f, represented by the given state transition table. The minimum number of states required to realize this FSM...

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2025 PYQ

A regular language $L$ is accepted by a non-deterministic finite automaton (NFA) with $n$ states. Which of the following statement(s) is/are FALSE?

easyanswer keyelite explanation
2024 Q22

Which one of the following regular expressions is equivalent to the language accepted by the DFA given below?

mediumanswer key
2021 PYQ

Consider the following language. L = { w ∈ {0, 1}* | w ends with the substring 011} Which one of the following deterministic finite automata accepts L?

easyanswer keybasic explanation
2014 PYQ

Let $${L_1} = \left\{ {w \in \left\{ {0,1} \right\}{}^ * \left| w \right.} \right.$$ has at least as many occurrences of $$(110)'s$$ as $$(011)'s$$$$\left. \, \right\}$$. Let $${L_...

hardanswer key
2014 PYQ

Let $${L_1} = \left\{ {w \in \left\{ {0,1} \right\}{}^ * \left| w \right.} \right.$$ has at least as many occurrences of $$(110)'s$$ as $$(011)'s$$$$\left. \, \right\}$$. Let $${L_...

hardanswer key
2011 PYQ

The lexical analysis for a modern computer language such as java needs the power of which one of the following machine model in a necessary and sufficient sense?

easyanswer key
2010 PYQ

Let $$w$$ be any string of length $$n$$ in $${\left\{ {0,1} \right\}^ * }$$. Let $$L$$ be the set of all substrings of $$w.$$ What is the minimum number of states in a non-determin...

mediumanswer key
2006 PYQ

If $$s$$ is a string over $${\left( {0 + 1} \right)^ * }$$ then let $${n_0}\left( s \right)$$ denote the number of $$0'$$ s in $$s$$ and $${n_1}\left( s \right)$$ the number of $$1...

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2005 PYQ

Let $${N_f}$$ and $${N_p}$$ denote the classes of languages accepted by non-deterministic finite automata and non-deterministic push-down automata, respectively. Let $${D_f}$$ and...

easyanswer key
2001 PYQ

Consider the following two statements; $${S_1}\,\,:\,\,\left\{ {{0^{2n}}\left| {n \ge 1} \right.} \right\}$$ is a regular language $${S_2}\,\,:\,\,\left\{ {{0^m}{1^n}{0^{m + n}}\le...

easyanswer key
1999 PYQ

Consider the regular expression $$(0+1)(0+1).......n$$ times. The minimum state finite automation that recognizes the language represented by this regular expression contains:

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1998 PYQ

Let $$L$$ be the set of all binary strings whose last two symbols are the same. The number of states in the minimum state deterministic finite-state automaton accepting $$L$$ is

mediumanswer key
1997 PYQ

Which one of the following is not decidable?

easyanswer key