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Regular Expression Matching Quiz

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Questions and Answers

Which one of the following regular expressions represents the same language over {0,1}* as (00+01+10+11)*?

$(0+1)$

$(0+1)(0+1)*(0+1)*$

$(0*1*)*$

$((0+1)(0+1))*$ (correct)

Which one of the following regular expressions represents the language consisting of all strings over {0,1}* that contain exactly two 0’s?

1*001*

0*10* (correct)

1*01*01*

1*01*0

Which one of the following regular expressions represents the language consisting of all strings over {0,1}* that contain exactly two 0’s and at least one 1?

1*001*

0*10*

1*01*01* (correct)

1*01*0

Which one of the following regular expressions represents the language consisting of all strings over {0,1}* that contain exactly two 0’s or exactly two 1's?

<p>1<em>001</em></p> Signup and view all the answers

Study Notes

Regular Expressions over {0,1}*

The regular expression (00+01+10+11)* represents the same language over {0,1}* as the given expression.
A regular expression can be used to represent the language consisting of all strings over {0,1}* that contain exactly two 0's.
A regular expression can also be used to represent the language consisting of all strings over {0,1}* that contain exactly two 0's and at least one 1.
A regular expression can be used to represent the language consisting of all strings over {0,1}* that contain exactly two 0's or exactly two 1's.

Key Concepts

Regular expressions can be used to define languages over a given alphabet.
The language represented by a regular expression is the set of all strings that match the expression.
Regular expressions can be used to specify constraints on the number of occurrences of certain characters or patterns in a string.

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Description

Test your knowledge of regular expressions with this quiz! Determine which regular expression represents the same language over {0,1}* as the given expression.