The regular language among the options given is the "String with even number of Zero’s".

Here's why:

1. "String with substring wwr in between" - This is not a regular language because it requires the ability to remember an arbitrary number of characters (w) and then match them exactly later on. Regular languages can't do this because they have a finite memory (they can't push/pop from a stack).

2. "String whose length is a sequence of prime numbers" - This is not a regular language because determining whether a number is prime is a complex operation that can't be done with a finite automaton, which is what defines regular languages.

3. "Palindrome string" - This is not a regular language because it requires the ability to remember an arbitrary number of characters and then match them in reverse order. Regular languages can't do this because they have a finite memory.

4. "String with even number of Zero’s" - This is a regular language. A finite automaton can be constructed that accepts strings with an even number of zeros by toggling between two states: one for an even number of zeros and one for an odd number. This does not require any memory of past states, so it fits the definition of a regular language.

Question

The regular language among the options given is the "String with even number of Zero’s".

Here's why:

1. "String with substring wwr in between" - This is not a regular language because it requires the ability to remember an arbitrary number of characters (w) and then match them exactly later on. Regular languages can't do this because they have a finite memory (they can't push/pop from a stack).

2. "String whose length is a sequence of prime numbers" - This is not a regular language because determining whether a number is prime is a complex operation that can't be done with a finite automaton, which is what defines regular languages.

3. "Palindrome string" - This is not a regular language because it requires the ability to remember an arbitrary number of characters and then match them in reverse order. Regular languages can't do this because they have a finite memory.

4. "String with even number of Zero’s" - This is a regular language. A finite automaton can be constructed that accepts strings with an even number of zeros by toggling between two states: one for an even number of zeros and one for an odd number. This does not require any memory of past states, so it fits the definition of a regular language.

Knowee AI · Accepted Answer

The regular language among the options given is the "String with even number of Zero’s".

Here's why:

1. "String with substring wwr in between" - This is not a regular language because it requires the ability to remember an arbitrary number of characters (w) and then match them exactly later on. Regular languages can't do this because they have a finite memory (they can't push/pop from a stack).

2. "String whose length is a sequence of prime numbers" - This is not a regular language because determining whether a number is prime is a complex operation that can't be done with a finite automaton, which is what defines regular languages.

3. "Palindrome string" - This is not a regular language because it requires the ability to remember an arbitrary number of characters and then match them in reverse order. Regular languages can't do this because they have a finite memory.

4. "String with even number of Zero’s" - This is a regular language. A finite automaton can be constructed that accepts strings with an even number of zeros by toggling between two states: one for an even number of zeros and one for an odd number. This does not require any memory of past states, so it fits the definition of a regular language.

Which of the following is a regular language? ans. String with substring wwr in between String whose length is a sequence of prime numbers Palindrome string String with even number of Zero’s

Question

Solution

Similar Questions

Upgrade your grade with Knowee