Equivalence of DFA and NDFA Questions-Answers- Theory of Computation

Q1➡ |Equivalence of DFA and NDFA
It is less complex to prove the closure properties over regular languages using
i ➥ DFA
ii ➥ PDA
iii ➥ NFA
iv ➥ Can’t be said

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Answer: iii
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Q2➡ |Equivalence of DFA and NDFA
Under which of the following operation, NFA is not closed?
i ➥ Union
ii ➥ Kleene
iii ➥ Intersection
iv ➥ Not mentioned

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Answer: iv
Explanation:
NFA is said to be closed under Union, Intersection, Concatenation, Kleene, Negation


Q3➡ |Equivalence of DFA and NDFA
make an automaton which accepts a given string for all the occurrence of ‘1001’ in it. How many number of transitions would be use such that, the string processing application works?
i ➥ 9
ii ➥ 10
iii ➥ 11
iv ➥ 12

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Answer: i
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Q4➡ |Equivalence of DFA and NDFA
Which of the following is an application of Finite Automaton?
i ➥ Text Search
ii ➥ Compiler Design
iii ➥ Grammar Parsers
iv ➥ All of the Above

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Answer: iv
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Q5➡ |Equivalence of DFA and NDFA
Which among the following can be an example of application of finite state machine(FSM)?
i ➥ Stack
ii ➥ Communication Link
iii ➥ Adder
iv ➥ None of the mentioned

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Answer: i
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Q6➡ |Equivalence of DFA and NDFA
Which of the following do we use to form an NFA from a regular expression?
i ➥ Thompson Construction Method
ii ➥ Scott Construction Method
iii ➥ Power Set Construction Method
iv ➥ Subset Construction Method

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Answer: i
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Q7➡ |Equivalence of DFA and NDFA
Which among the following is not an application of Finite-state machine (FSM)?
i ➥ State charts
ii ➥ Lexical Analyser
iii ➥ BOT
iv ➥ Tower of Hanoi Problem.

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Answer: iv
Explanation: application of FSM – recognizing the pattern using regular expressions,Lexical Analyser, Computer BOT (used in games), State charts,combination and sequential circuits using Mealy and Moore Machines,text editors,implementation of spell checkers.
-Tower of Hanoi Problem is application of Push Down Automata (PDA)
Ans- iv


Q8➡ |Equivalence of DFA and NDFA
L1= {w | w does not contain the string tr }
L2= {w | w does contain the string tr}
Given ∑= {t, r}, The difference of the minimum number of states required to form L1 and L2?
i ➥ 2
ii ➥ 1
iii ➥ 0
iv ➥ more then 2

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Answer: iii
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Q9➡ |Equivalence of DFA and NDFA
Predict the number of transitions required to automate the following language using only 3 states:
L= {w | w ends with 00}
i ➥ 4
ii ➥ 3
iii ➥ 2
iv ➥ more then 5

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Answer: ii
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Q10➡ |Equivalence of DFA and NDFA
The total number of states to build the given language using DFA:
L= {w | w has exactly 2 a’s and at least 2 b’s}
i ➥ 13
ii ➥ 12
iii ➥ 11
iv ➥ 10

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Answer: iv
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Q11➡ |Equivalence of DFA and NDFA
i ➥
ii ➥
iii ➥
iv ➥

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Answer: i
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You should also practice on below topics
Regular Language Mode
Deterministic Finite Automaton (DFA),
Non-Deterministic Finite Automaton (NDFA),
Equivalence of DFA and NDFA,
Regular Languages,
Regular Grammars,
Regular Expressions,

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