All Exams Test series for 1 year @ ₹349 only
Question

Consider the following DFA



Which of the following NFA is valid for the given DFA?

 

The correct answer is

To determine which Non-deterministic Finite Automaton (NFA) corresponds to the given Deterministic Finite Automaton (DFA), we need to understand the basic conversion principles. An NFA is valid for a DFA if it can represent the same language, meaning that both recognize the same set of strings.

Key Differences Between DFA and NFA:

  • In a DFA, each state has exactly one transition for each symbol in the alphabet.
  • In an NFA, each state can have zero, one, or multiple transitions for a symbol.

The provided DFA recognizes a certain set of strings based on its state transitions. We will evaluate the provided NFA options to identify which represents the same language.

Correct NFA Analysis:

This NFA is valid as it matches the DFA transitions, allowing non-deterministic paths for input symbols. It will process the same strings as the DFA, although potentially in a more flexible manner on account of multiple possible states for a given input.

Conclusion:

The correct NFA for the given DFA is the one that can represent all the same strings accepted by the DFA. Here, the last option matches these criteria, effectively simulating the DFA's behavior with allowances for nondeterminism.

Was this answer helpful?

Important Questions from Finite Automata

  1. If NFA of 5 states excluding the initial state is converted into DFA, maximum possible number of states for the DFA is?

  2. A Language for which DFA exist is a________

  3. For a DFA accepting binary numbers whose decimal equivalent is divisible by 3, what are all the possible remainders?

  4. Minimum Number of states require to accept string ends with 101.

  5. Consider the DFA given below

    Which of the regular expressions given below represents the above DFA ?

Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App