Skip to content
Early access — you're among the first to try PYQLabs. Share feedback
Concept drill

minimal DFA

GATE CSE & IT · Regular Languages · 1987-2026

10
PYQs
70%
keyed
1
elite explanations
10
years appeared

Study anchor

Hopcroft-Ullman / Dragon Book

Automata, languages, parsing, syntax-directed translation

Practice action

Start latest PYQ

PYQs in this concept

All concepts →
2026 PYQ

Let $M$ be a non-deterministic finite automaton (NFA) with 6 states over a finite alphabet. Which of the following options CANNOT be the number of states in the minimal determinist...

mediumanswer keyelite explanation
2025 PYQ

Let $\Sigma=\{1,2,3,4\}$ For $x \in \Sigma^*$, let prod $(x)$ be the product of symbols in $x$ modulo 7 . We take $\operatorname{prod}(\varepsilon)=1$, where $\varepsilon$ is the n...

mediumbasic explanation
2021 PYQ

Let L ⊆ {0,1}* be an arbitrary regular language accepted by a minimal DFA with k states. Which one of the following languages must necessarily be accepted by a minimal DFA with k s...

easyanswer keybasic explanation
2015 PYQ

The number of states in the minimal deterministic finite automaton corresponding to the regular expression $${\left( {0 + 1} \right)^{\,\, * }}\left( {10} \right)$$ is ____________...

medium
2002 PYQ

The smallest finite automaton which accepts the language $$L = \left. {\left\{ x \right.} \right|$$ length of $$x$$ is divisible by $$\left. 3 \right\}$$ has

easyanswer key
2000 PYQ

What can be said about a regular language $$L$$ over $$\left\{ a \right\}$$ whose minimal finite state automation has two states?

mediumanswer 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:

easyanswer keybasic explanation
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
1990 PYQ

State whether the following statement is TRUE / FALSE. A minimal $$DFA$$ that is equivalent to an $$NFDA$$ with $$n$$ modes has always 2 n states

easyanswer key
1987 PYQ

Give minimal $$DFA$$ that performs as a Mod-$$3$$ $$1's$$ counter, i.e., outputs a $$1$$ each time the number of $$1's$$ in the input sequence is a sequence is a multiple of $$3.$$

easy