Q. The password to the admins account=”administrator”. The total number of states required to make a password-pass system using DFA would be __________

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Q. Let ∑= {a, b, …. z} and A = {Hello, World}, B= {Input, Output}, then (A*∩B) U (B*∩A) can be represented as:

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Q. For a machine to surpass all the letters of alphabet excluding vowels, how many number of states in DFA would be required?

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Q. Given L= {Xϵ∑*= {a, b} |x has equal number of a, s and b’s}.
Which of the following property satisfy the regularity of the given language?

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Q. Given:
L= {xϵ∑= {0,1} |x=0n1n for n>=1}; Can there be a DFA possible for the language?

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Q. How many languages are over the alphabet R?

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Q. According to the 5-tuple representation i.e. FA= {Q, ∑, δ, q, F}
Statement 1: q ϵ Q’;
Statement 2: FϵQ

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Q. δˆ tells us the best:

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Q. Which of the following option is correct?
A= {{abc, aaba}. {ε, a, bb}}

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Q. For a DFA accepting binary numbers whose decimal equivalent is divisible by 4, what are all the possible remainders?

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Q. Given:
L1= {xϵ ∑*|x contains even no’s of 0’s}

L2= {xϵ ∑*|x contains odd no’s of 1’s}

Nunber of final states in Language L1 U L2?

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Q. The maximum number of transition which can be performed over a state in a DFA?
∑= {a, b, c}

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Q. The maximum sum of in degree and out degree over a state in a DFA can be determined as:
∑= {a, b, c, d}

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Q. The sum of minimum and maximum number of final states for a DFA n states is equal to:

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Q. There are ________ tuples in finite state machine.

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Q. Transition function maps.

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Q. Number of states require to accept string ends with 10.

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Q. Extended transition function is .

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Q. δ*(q,ya) is equivalent to .

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Q. String X is accepted by finite automata if .

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