Finite Automata


Q11.

The FSM (Finite State Machine) machine pictured in the figure above
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Q12.

Let N be an NFA with n states. Let k be the number of states of a minimal DFA which is equivalent to N. Which one of the following is necessarily true?
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Q13.

Which one of the following regular expressions correctly represents the language of the finite automaton given below?
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Q14.

The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)* (0+1)(0+1)* is _______.
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Q15.

Consider the language L given by the regular expression (a+b )* b (a+b ) over the alphabet {a, b}. The smallest number of states needed in a deterministic finite-state automation (DFA) accepting L is ___________.
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Q16.

Let L be the language represented by the regular expression \Sigma ^{*}0011\Sigma ^{*} where \Sigma={0,1}. What is the minimum number of states in a DFA that recognizes \bar{L} (complement of L)?
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Q17.

Consider the following Deterministic Finite Automaton M.Let S denote the set of eight bit strings whose second, third, sixth and seventh bits are 1. The number of strings in S that are accepted by M is
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Q18.

Consider the following two statements: I. If all states of an NFA are accepting states then the language accepted by the NFA is \sum ^{*} . II. There exists a regular language A such that for all languages B, A\capB is regular. Which one of the following is CORRECT?
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Q19.

An FSM(finite state machine) can be considered to be a turing machine of finite tape length
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Q20.

The following Finite Automaton recognizes which of the given languages?
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