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Let L be the language represented by the regular expression Σ0011Σ where Σ = {0, 1}. What is the minimum number of states in a DFA that recognizes  (complement of L )?
  • a)
     1
  • b)
     5
  • c)
     6
  • d)
     8
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let L be the language represented by the regular expression Σ&lo...
If minimal DFA for any regular language L has n states then minimal DFA for the complement of L will also have n states.
DFA for language represented by the regular expression Σ0011Σ where, Σ = {0,1} is as following below:
The complement of the above DFA will have the same number of states but there will be non-final states to final states and final states to non-final states.
The minimum number of states in the minimal DFA that recognizes 
 
 is 5. The given regular expression matches with all strings that contain substring 0011. The complement should match with all strings except the strings with 0011 as a substring.
Hence, the correct option is (B).
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Let L be the language represented by the regular expression Σ∗0011Σ∗ where Σ = {0, 1}. What is the minimum number of states in a DFA that recognizes(complement of L )?a)1b)5c)6d)8Correct answer is option 'B'. Can you explain this answer?
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