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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)*?
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?
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?
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?
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?
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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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