Which of the following is a regular language? ans.String with even number of Zero’sString whose length is a sequence of prime numbersString with substring wwr in betweenPalindrome string
Question
Which of the following is a regular language? ans.String with even number of Zero’sString whose length is a sequence of prime numbersString with substring wwr in betweenPalindrome string
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 with even number of Zero’s" can be accepted by a finite automaton. We can design a finite automaton that starts in an initial state, goes to a second state when it encounters a '0', and then returns to the initial state when it encounters another '0'. This way, it only accepts strings with an even number of '0's.
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The other options are not regular languages. "String whose length is a sequence of prime numbers" and "Palindrome string" require the ability to count or remember previous inputs, which is not possible in a finite automaton. "String with substring wwr in between" is also not regular because it requires the automaton to remember the string 'w' and check if it is followed by its reverse, which is not possible in a finite automaton.
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