GATE CS 2014 Set 1 — Question 26
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Theory of Computation → Finite Automata & Regular Languages → NFA
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Question
Consider the finite automaton in the following figure.
What is the set of reachable states for the input string 0011?
Correct answer
(A) \q₀, q₁, q₂\
Solution
Let be the transition function. We start at the initial state set .Input string:
Current set:
Current set:
Current set:
Union: The set of reachable states is .
1.Read '0':
Current set:
2.Read '0':
Current set:
3.Read '1':
Current set:
4.Read '1':
Union: The set of reachable states is .
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