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Some useful problems
Recent questions tagged finite-automata
1
votes
1
answer
151
Testbook test Series
What will be the number of non-final states in the minimal DFA for the language L = { the set of strings over alphabet (a.b) containing at least three occurrences of 3 consecutive b’s, overlapping permitted}
What will be the number of non-final states in the minimal DFA for the language L = { the set of strings over alphabet (a.b) containing at least three occurrences of 3 co...
Rajat Agrawal007
2.2k
views
Rajat Agrawal007
asked
Nov 18, 2021
Theory of Computation
testbook-test-series
number-of-dfa
finite-automata
+
–
2
votes
3
answers
152
Applied Test Series
Minimum number of states in the DFA of the given language ?
Minimum number of states in the DFA of the given language ?
LRU
530
views
LRU
asked
Nov 2, 2021
Theory of Computation
test-series
theory-of-computation
finite-automata
+
–
0
votes
1
answer
153
DFA that accepts aaa or bbb as substring-: How to make?
https://i.stack.imgur.com/v70kK.jpg I have tried but it is wrong as it accepts abba. What is the correct dfa for this?
https://i.stack.imgur.com/v70kK.jpgI have tried but it is wrong as it accepts abba. What is the correct dfa for this?
shivajikobardan
2.5k
views
shivajikobardan
asked
Nov 1, 2021
Theory of Computation
theory-of-computation
finite-automata
minimal-state-automata
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–
3
votes
1
answer
154
Number of final states
A FA accepting language L(A) has n states and m transition. ∑ = {a, b} L(A) is given as L(A)={ x | if x ∊ L(A) then u ∊ L(A) for $∃u, v ∊ ∑^{*}$ where x=uv } Find number of final state in above DFA?
A FA accepting language L(A) has n states and m transition. ∑ = {a, b}L(A) is given asL(A)={ x | if x ∊ L(A) then u ∊ L(A) for $∃u, v ∊ ∑^{*}$ where x=uv }Fin...
Nishisahu
366
views
Nishisahu
asked
Oct 8, 2021
Theory of Computation
theory-of-computation
minimal-state-automata
finite-automata
+
–
2
votes
3
answers
155
Regular expressons
The minimum number of states in an equivalent finite automata for the given regular expression are _____ (a(a(a(a(a(ab)*b)*b)*b)*b)*b)*
The minimum number of states in an equivalent finite automata for the given regular expression are _____(a(a(a(a(a(ab)*b)*b)*b)*b)*b)*
coder97
688
views
coder97
asked
Oct 5, 2021
Theory of Computation
theory-of-computation
regular-expression
regular-language
finite-automata
+
–
20
votes
3
answers
156
GATE CSE 2021 Set 2 | Question: 9
Let $L \subseteq \{0,1\}^*$ be an arbitrary regular language accepted by a minimal $\text{DFA}$ with $k$ states. Which one of the following languages must necessarily be accepted by a minimal $\text{DFA}$ with $k$ states? $L-\{01\}$ $L \cup \{01\}$ $\{0,1\}^* – L$ $L \cdot L$
Let $L \subseteq \{0,1\}^*$ be an arbitrary regular language accepted by a minimal $\text{DFA}$ with $k$ states. Which one of the following languages must necessarily be ...
Arjun
9.2k
views
Arjun
asked
Feb 18, 2021
Theory of Computation
gatecse-2021-set2
theory-of-computation
finite-automata
regular-language
1-mark
+
–
20
votes
6
answers
157
GATE CSE 2021 Set 2 | Question: 17
Consider the following deterministic finite automaton $\text{(DFA)}$ The number of strings of length $8$ accepted by the above automaton is ___________
Consider the following deterministic finite automaton $\text{(DFA)}$The number of strings of length $8$ accepted by the above automaton is ___________
Arjun
9.4k
views
Arjun
asked
Feb 18, 2021
Theory of Computation
gatecse-2021-set2
numerical-answers
theory-of-computation
finite-automata
1-mark
+
–
23
votes
3
answers
158
GATE CSE 2021 Set 2 | Question: 28
Suppose we want to design a synchronous circuit that processes a string of $0$'s and $1$'s. Given a string, it produces another string by replacing the first $1$ in any subsequence of consecutive $1$'s by a $0$ ... $\begin{array}{l} t=s+b \\ y=s \overline{b} \end{array}$
Suppose we want to design a synchronous circuit that processes a string of $0$’s and $1$’s. Given a string, it produces another string by replacing the first $1$ in a...
Arjun
8.6k
views
Arjun
asked
Feb 18, 2021
Theory of Computation
gatecse-2021-set2
theory-of-computation
finite-automata
2-marks
+
–
15
votes
2
answers
159
GATE CSE 2021 Set 1 | Question: 38
Consider the following language: $L= \{ w \in \{0,1\}^* \mid w \text{ ends with the substring } 011 \}$ Which one of the following deterministic finite automata accepts $L?$
Consider the following language:$$L= \{ w \in \{0,1\}^* \mid w \text{ ends with the substring } 011 \}$$Which one of the following deterministic finite automata accepts $...
Arjun
4.3k
views
Arjun
asked
Feb 18, 2021
Theory of Computation
gatecse-2021-set1
theory-of-computation
finite-automata
2-marks
+
–
1
votes
1
answer
160
GATE Overflow Test Series | Mock GATE | Test 5 | Question: 51
Consider the following minimal state finite automata: Which of the following binary strings is/are accepted by the given automata? $10010$ $100010001$ $111010101$ $10010000$
Consider the following minimal state finite automata:Which of the following binary strings is/are accepted by the given automata?$10010$$100010001$$111010101$$10010000$
gatecse
78
views
gatecse
asked
Feb 8, 2021
Theory of Computation
go2025-mockgate-5
theory-of-computation
finite-automata
minimal-state-automata
multiple-selects
2-marks
+
–
1
votes
1
answer
161
GATE Overflow Test Series | Mock GATE | Test 4 | Question: 61
Which of the following is/are regular grammar for the given finite automata? (Mark all the appropriate choices) $S_{1} \rightarrow aS_{2} \\ S_{2} \rightarrow a S_{2} \mid bS_{2}$ ... $S_{1} \rightarrow S_{1} a \mid S_{1} b \mid S_{2} a \\ S_{2} \rightarrow \varepsilon$
Which of the following is/are regular grammar for the given finite automata? (Mark all the appropriate choices)$S_{1} \rightarrow aS_{2} \\S_{2} \rightarrow a S_{2} \mid ...
gatecse
226
views
gatecse
asked
Feb 1, 2021
Theory of Computation
go2025-mockgate-4
theory-of-computation
finite-automata
regular-grammar
multiple-selects
+
–
5
votes
1
answer
162
GATE Overflow Test Series | Mock GATE | Test 2 | Question: 23
Which of the following is/are the regular grammar for the given finite automata? (Mark all the appropriate choices) $S \rightarrow aS \\ S \rightarrow bS \\ S \rightarrow a \\ S \rightarrow b $ ...
Which of the following is/are the regular grammar for the given finite automata? (Mark all the appropriate choices)$S \rightarrow aS \\S \rightarrow bS \\S \rightarrow a ...
gatecse
219
views
gatecse
asked
Jan 17, 2021
Theory of Computation
go2025-mockgate-2
regular-language
finite-automata
multiple-selects
+
–
5
votes
1
answer
163
GATE Overflow Test Series | Mock GATE | Test 2 | Question: 63
The number of states, after the minimization of the below Determinstic Finite Automata is _________
The number of states, after the minimization of the below Determinstic Finite Automata is _________
gatecse
472
views
gatecse
asked
Jan 17, 2021
Theory of Computation
go2025-mockgate-2
numerical-answers
finite-automata
minimal-state-automata
+
–
4
votes
2
answers
164
GATE Overflow Test Series | Theory of Computation | Test 1 | Question: 5
For $L=\{\varepsilon \},$ if the number of total and final states required in the minimal state deterministic finite automata to accept $L$ over $\Sigma = \{a,b\}$ are denoted by $a$ and $b$ respectively, then $a-b = $_____
For $L=\{\varepsilon \},$ if the number of total and final states required in the minimal state deterministic finite automata to accept $L$ over $\Sigma = \{a,b\}$ are de...
gatecse
377
views
gatecse
asked
Sep 29, 2020
Theory of Computation
go2025-toc-1
numerical-answers
regular-expression
finite-automata
+
–
2
votes
1
answer
165
GATE Overflow Test Series | Theory of Computation | Test 1 | Question: 7
The following deterministic finite automata recognizes Set of all strings over $\{a,b\}$ of length exactly $2$ Set of all strings over $\{a,b\}$ of length atleast $2$ Set of all strings over $\{a,b\}$ of length atmost $2$ None of the above
The following deterministic finite automata recognizesSet of all strings over $\{a,b\}$ of length exactly $2$Set of all strings over $\{a,b\}$ of length atleast $2$Set of...
gatecse
86
views
gatecse
asked
Sep 29, 2020
Theory of Computation
go2025-toc-1
finite-automata
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–
2
votes
1
answer
166
GATE Overflow Test Series | Theory of Computation | Test 1 | Question: 8
The following deterministic finite automata recognizes Set of all even length strings starting with $00$ Set of all even length strings starting with $0$ Set of all even length strings starting with $01$ None of the above
The following deterministic finite automata recognizesSet of all even length strings starting with $00$Set of all even length strings starting with $0$Set of all even len...
gatecse
86
views
gatecse
asked
Sep 29, 2020
Theory of Computation
go2025-toc-1
finite-automata
+
–
2
votes
1
answer
167
GATE Overflow Test Series | Theory of Computation | Test 1 | Question: 10
Which of the following is the complement of below Deterministic Finite Automata?
Which of the following is the complement of below Deterministic Finite Automata?
gatecse
101
views
gatecse
asked
Sep 29, 2020
Theory of Computation
go2025-toc-1
finite-automata
+
–
2
votes
1
answer
168
NIELIT 2016 MAR Scientist C - Section C: 32
Two finite state machines are said to be equivalent if they have same number of states have same number of edges have same number of states and edges recognize same set of tokens
Two finite state machines are said to be equivalent if theyhave same number of stateshave same number of edgeshave same number of states and edgesrecognize same set of to...
admin
872
views
admin
asked
Apr 2, 2020
Theory of Computation
nielit2016mar-scientistc
theory-of-computation
finite-automata
+
–
2
votes
4
answers
169
NIELIT 2017 DEC Scientific Assistant A - Section B: 3
The automaton which allows transformation to a new state without consuming any input symbols : $NFA$ $DFA$ $NFA - 1$ All of the options
The automaton which allows transformation to a new state without consuming any input symbols : $NFA$$DFA$$NFA - 1$All of the options
admin
1.7k
views
admin
asked
Mar 31, 2020
Theory of Computation
nielit2017dec-assistanta
theory-of-computation
finite-automata
+
–
2
votes
3
answers
170
NIELIT 2017 DEC Scientific Assistant A - Section B: 4
Complement of a $DFA$ can be obtained by : making starting state as final state. make final as a starting state. making final states non-final and non-final as final. None of the options
Complement of a $DFA$ can be obtained by :making starting state as final state.make final as a starting state.making final states non-final and non-final as final.None of...
admin
1.6k
views
admin
asked
Mar 31, 2020
Theory of Computation
nielit2017dec-assistanta
theory-of-computation
finite-automata
+
–
1
votes
4
answers
171
NIELIT 2017 DEC Scientific Assistant A - Section B: 5
Concatenation Operation refers to which of the following set operations : Union Dot Kleene None of the options
Concatenation Operation refers to which of the following set operations : UnionDotKleeneNone of the options
admin
3.7k
views
admin
asked
Mar 31, 2020
Theory of Computation
nielit2017dec-assistanta
theory-of-computation
finite-automata
+
–
1
votes
2
answers
172
NIELIT 2017 DEC Scientific Assistant A - Section B: 31
A finite automaton accepts which type of language : Type $0$ Type $1$ Type $2$ Type $3$
A finite automaton accepts which type of language : Type $0$Type $1$Type $2$Type $3$
admin
3.4k
views
admin
asked
Mar 31, 2020
Theory of Computation
nielit2017dec-assistanta
theory-of-computation
identify-class-language
finite-automata
+
–
1
votes
2
answers
173
NIELIT 2017 DEC Scientific Assistant A - Section B: 40
What is the relation between $DFA$ and $NFA$ on the basis of computational power ? $DFA$ > $NFA$ $NFA$ > $DFA$ Equal Can't be said
What is the relation between $DFA$ and $NFA$ on the basis of computational power ?$DFA$ $NFA$$NFA$ $DFA$EqualCan't be said
admin
1.0k
views
admin
asked
Mar 31, 2020
Theory of Computation
nielit2017dec-assistanta
theory-of-computation
finite-automata
+
–
1
votes
1
answer
174
NIELIT 2017 DEC Scientific Assistant A - Section B: 50
How many DFA's exits with two states over input alphabet $\left \{ 0,1 \right \}$ $16$ $26$ $32$ $64$
How many DFA's exits with two states over input alphabet $\left \{ 0,1 \right \}$$16$$26$$32$$64$
admin
1.0k
views
admin
asked
Mar 31, 2020
Theory of Computation
nielit2017dec-assistanta
theory-of-computation
finite-automata
number-of-dfa
+
–
2
votes
2
answers
175
NIELIT 2017 DEC Scientific Assistant A - Section B: 60
Finite automata requires minimum ____________ number of stacks. $1$ $0$ $2$ None of the options
Finite automata requires minimum ____________ number of stacks.$1$$0$$2$None of the options
admin
3.7k
views
admin
asked
Mar 31, 2020
Theory of Computation
nielit2017dec-assistanta
theory-of-computation
finite-automata
+
–
3
votes
3
answers
176
NIELIT 2016 DEC Scientist B (CS) - Section B: 1
Palindromes can't be recognized by any Finite State Automata because: FSA cannot remember arbitrarily large amount of information. FSA cannot deterministically fix the midpoint. Even if the mid-Point is known an FSA cannot find whether the second half of the string matches the first half. All of the above.
Palindromes can't be recognized by any Finite State Automata because:FSA cannot remember arbitrarily large amount of information.FSA cannot deterministically fix the midp...
admin
12.2k
views
admin
asked
Mar 31, 2020
Theory of Computation
nielit2016dec-scientistb-cs
theory-of-computation
finite-automata
+
–
2
votes
2
answers
177
NIELIT 2016 DEC Scientist B (CS) - Section B: 24
Given two DFA's $M1$ and $M2$. They are equivalent if $M1$ and $M2$ has the same number of states $M1$ and $M2$ accepts the same language i.e $L(M1)=L(M2)$ $M1$ and $M2$ has the same number of final states None of the above
Given two DFA's $M1$ and $M2$. They are equivalent if$M1$ and $M2$ has the same number of states$M1$ and $M2$ accepts the same language i.e $L(M1)=L(M2)$$M1$ and $M2$ has...
admin
1.5k
views
admin
asked
Mar 31, 2020
Theory of Computation
nielit2016dec-scientistb-cs
theory-of-computation
finite-automata
+
–
3
votes
2
answers
178
NIELIT 2016 DEC Scientist B (CS) - Section B: 46
$(00+01+10)(0+1)^*$ represents Strings not starting with $11$ Strings of odd length Strings starting with $00$ Strings of even length
$(00+01+10)(0+1)^*$ representsStrings not starting with $11$Strings of odd lengthStrings starting with $00$Strings of even length
admin
1.1k
views
admin
asked
Mar 31, 2020
Theory of Computation
nielit2016dec-scientistb-cs
theory-of-computation
finite-automata
+
–
1
votes
1
answer
179
NIELIT 2017 July Scientist B (CS) - Section B: 48
What is the complement of the language accepted by the NFA shown below? $\not{O}$ $\{\epsilon\}$ $a^*$ $\{a,\epsilon\}$ $1$ $2$ $3$ $4$
What is the complement of the language accepted by the NFA shown below?$\not{O}$$\{\epsilon\}$$a^*$$\{a,\epsilon\}$$1$$2$$3$$4$
admin
877
views
admin
asked
Mar 30, 2020
Theory of Computation
nielit2017july-scientistb-cs
theory-of-computation
finite-automata
+
–
0
votes
6
answers
180
NIELIT 2017 DEC Scientist B - Section B: 39
Which of the following is true? Mealy and Moore machine are language acceptors. Finite State automata is language translator. NPDA is more powerful than DPDA. Melay machine is more powerful than Moore machine.
Which of the following is true?Mealy and Moore machine are language acceptors.Finite State automata is language translator.NPDA is more powerful than DPDA.Melay machine i...
admin
6.0k
views
admin
asked
Mar 30, 2020
Theory of Computation
nielit2017dec-scientistb
theory-of-computation
finite-automata
npda
dpda
+
–
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