Which of the following is a regular language? ans. String with even number of Zero’s Palindrome string String with substring wwr in between String whose length is a sequence of prime numbers
Question
Which of the following is a regular language?
ans. String with even number of Zero’s
Palindrome string
String with substring wwr in between
String whose length is a sequence of prime numbers
Solution
The regular language among the options given is the "String with even number of Zero’s".
Here's why:
-
"String with even number of Zero’s": This is a regular language because it can be represented by a regular expression and accepted by a finite automaton. The regular expression for this language would be (10101*)*.
-
"Palindrome string": This is not a regular language. A palindrome requires that the string be the same forwards and backwards, which requires a comparison of the first half of the string to the second half. This cannot be done with a finite automaton, which has no memory of past states.
-
"String with substring wwr in between": This is not a regular language. It requires the automaton to remember the string 'w' and check if it reappears later as 'r'. This cannot be done with a finite automaton as it has no memory.
-
"String whose length is a sequence of prime numbers": This is not a regular language. Determining whether a number is prime is a complex computational task that cannot be performed by a finite automaton.
So, the only regular language in the given options is the "String with even number of Zero’s".
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.
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
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
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.