Virtual Labs

Converting a Non-deterministic Finite Automaton to a Deterministic Finite Automaton

A DFA is called deterministic because:

a: It allows multiple transitions for the same input symbol Explanation

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b: It has exactly one transition for each input symbol from every state Explanation

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c: It can use epsilon transitions Explanation

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d: It can recognize context-free languages Explanation

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Which of the following automata has exactly one initial state?

a: DFA only Explanation

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b: NFA only Explanation

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c: Both DFA and NFA Explanation

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d: Neither DFA nor NFA Explanation

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In a DFA, a final state is:

a: The first state Explanation

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b: A state with no outgoing transitions Explanation

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c: A state where the input string is accepted Explanation

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d: A state with epsilon transitions Explanation

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A language is regular if it can be represented by:

a: A Turing machine Explanation

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b: A DFA or an NFA Explanation

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c: A context-free grammar Explanation

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d: A stack-based automaton Explanation

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What is the purpose of a transition function in a DFA?

a: To specify the initial state Explanation

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b: To define the set of final states Explanation

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c: To determine the next state based on current state and input symbol Explanation

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d: To allow epsilon transitions Explanation

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Which of the following statements is true regarding the equivalence of DFAs and NFAs?

a: Every DFA has an equivalent NFA, but not every NFA has an equivalent DFA Explanation

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b: Every NFA has an equivalent DFA, but the DFA may have exponentially more states Explanation

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c: DFAs and NFAs recognize different sets of languages Explanation

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d: NFAs can recognize some languages that DFAs cannot Explanation

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When converting an NFA to a DFA, the resulting DFA:

a: Always has the same number of states Explanation

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b: May have more states, at most equal to 2^n where n is the number of NFA states Explanation

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c: Requires less memory for state representation Explanation

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d: May recognize a different language Explanation

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Why are DFAs considered equivalent in power to NFAs?

a: Because DFAs are faster than NFAs Explanation

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b: Because every NFA can be transformed into a DFA that recognizes the same language Explanation

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c: Because NFAs can only recognize a subset of the languages recognized by DFAs Explanation

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d: Because DFAs allow epsilon transitions Explanation

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Which of the following is a common consequence of converting an NFA to its equivalent DFA?

a: The DFA has fewer states than the NFA Explanation

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b: The DFA runs slower than the NFA Explanation

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c: The DFA may have exponentially more states than the NFA Explanation

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d: The DFA allows epsilon transitions, unlike the NFA Explanation

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In terms of language recognition, what is true for both DFAs and NFAs?

a: They can recognize all regular and some non-regular languages Explanation

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b: They can only recognize context-free languages Explanation

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c: They recognize exactly the same set of regular languages Explanation

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d: They are equivalent to context-sensitive grammars Explanation

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The subset construction method is used to:

a: Minimize the number of states in a DFA Explanation

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b: Convert a regular expression to a DFA Explanation

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c: Convert an NFA to an equivalent DFA Explanation

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d: Create an NFA from a context-free grammar Explanation

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Which of the following best describes the relationship between DFAs and NFAs regarding computational power?

a: NFAs are computationally more powerful than DFAs Explanation

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b: DFAs and NFAs are equally powerful but may differ in efficiency Explanation

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c: DFAs are more efficient but less powerful than NFAs Explanation

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d: NFAs can simulate a Turing machine, but DFAs cannot Explanation

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Which operation is typically used when constructing a DFA from an NFA to handle multiple possible states?

a: Union of all possible transitions Explanation

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b: Intersection of states Explanation

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c: Subset construction by grouping states Explanation

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d: Direct concatenation of state transitions Explanation

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