Which of the following is a regular language? ans.String whose length is a sequence of prime numbersString with even number of Zero’sPalindrome stringString with substring wwr in between Previous Marked for Review Next
Question
Which of the following is a regular language? ans.String whose length is a sequence of prime numbersString with even number of Zero’sPalindrome stringString with substring wwr in between Previous Marked for Review Next
Solution
The regular language among the options given is the "String with even number of Zero’s".
Here's why:
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Regular languages are the languages that can be expressed using regular expressions or can be accepted by a finite automaton.
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A "String whose length is a sequence of prime numbers" is not regular because prime numbers do not follow a pattern that can be expressed by a finite automaton.
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A "Palindrome string" is not regular because to determine if a string is a palindrome, we need to compare the first half of the string with the reverse of the second half. This requires memory, and finite automata have no memory.
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A "String with substring wwr in between" is not regular because it requires memory to match the 'w' characters before and after 'r', which is not possible in regular languages.
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A "String with even number of Zero’s" is regular because it can be expressed by a finite automaton. The automaton only needs to keep track of whether it has seen an odd or even number of zeros, which can be done with a single bit of memory.
Similar Questions
Which of the following is a regular language?
Which language accepted by the regular expression (0+1)*0(0+1)*0(0+1)*.Select one:a. The set of all strings containing at least two 0’s.b. The set of all strings that begin and end with either 0 or 1.c. The set of all strings containing at most two 0’s.d. The set of all strings containing the substring 00.
Which of the following languages are regular?A = {x | x has two 0’s separated by the number of positions that is a multiple of 4 }.B = {x | x is binary representation of multiple of 3}.C = {x | x is a binary string and decimal of any prefix of x is not of form 3m + 2, where m ≥ 0}.Select one:a. All of the mentioned.b. Only B and C. c. Only A.d. Only B.
Write regular expressions for the following languages.1. the set of all alphabetic strings;2. the set of all lower case alphabetic strings ending in a b;3. the set of all strings from the alphabet a, b such that each a is immedi-ately preceded by and immediately followed by a b
Which regular grammar generates the language consisting of strings with zero or more occurrences of "a" followed by "b"?Options :S -> ab | aS | εS -> a | b | aSS -> ab | aSnone
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