GATE Exam  >  GATE Questions  >  Consider the following regular expressions ov... Start Learning for Free
Consider the following regular expressions over the alphabet {0, 1}.
I. 1* 0(0 + 1)*
II. (0 + 1)* 01*
III. 1* 0(1 + 0)* + (0 + 1)* 01*
Which of the above regular expressions are equivalent?
  • a)
    I and III only
  • b)
    I and II only
  • c)
    II and III only
  • d)
    I, II and III
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following regular expressions over the alphabet {0, 1}.I....
I and II are quite easy to understand - both denote strings containing at least one 0. III is actually the union of I and II, but III is again denoting strings containing at least one 0, as both regular expressions (i.e. I and II) are equivalent, so union won't make any difference.
Hence all 3 regular expressions are equivalent.
View all questions of this test
Explore Courses for GATE exam

Similar GATE Doubts

Consider the following regular expressions over the alphabet {0, 1}.I. 1* 0(0 + 1)*II. (0 + 1)* 01*III. 1* 0(1 + 0)* + (0 + 1)* 01*Which of the above regular expressions are equivalent?a)I and III onlyb)I and II onlyc)II and III onlyd)I, II and IIICorrect answer is option 'D'. Can you explain this answer?
Question Description
Consider the following regular expressions over the alphabet {0, 1}.I. 1* 0(0 + 1)*II. (0 + 1)* 01*III. 1* 0(1 + 0)* + (0 + 1)* 01*Which of the above regular expressions are equivalent?a)I and III onlyb)I and II onlyc)II and III onlyd)I, II and IIICorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider the following regular expressions over the alphabet {0, 1}.I. 1* 0(0 + 1)*II. (0 + 1)* 01*III. 1* 0(1 + 0)* + (0 + 1)* 01*Which of the above regular expressions are equivalent?a)I and III onlyb)I and II onlyc)II and III onlyd)I, II and IIICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following regular expressions over the alphabet {0, 1}.I. 1* 0(0 + 1)*II. (0 + 1)* 01*III. 1* 0(1 + 0)* + (0 + 1)* 01*Which of the above regular expressions are equivalent?a)I and III onlyb)I and II onlyc)II and III onlyd)I, II and IIICorrect answer is option 'D'. Can you explain this answer?.
Solutions for Consider the following regular expressions over the alphabet {0, 1}.I. 1* 0(0 + 1)*II. (0 + 1)* 01*III. 1* 0(1 + 0)* + (0 + 1)* 01*Which of the above regular expressions are equivalent?a)I and III onlyb)I and II onlyc)II and III onlyd)I, II and IIICorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Consider the following regular expressions over the alphabet {0, 1}.I. 1* 0(0 + 1)*II. (0 + 1)* 01*III. 1* 0(1 + 0)* + (0 + 1)* 01*Which of the above regular expressions are equivalent?a)I and III onlyb)I and II onlyc)II and III onlyd)I, II and IIICorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the following regular expressions over the alphabet {0, 1}.I. 1* 0(0 + 1)*II. (0 + 1)* 01*III. 1* 0(1 + 0)* + (0 + 1)* 01*Which of the above regular expressions are equivalent?a)I and III onlyb)I and II onlyc)II and III onlyd)I, II and IIICorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Consider the following regular expressions over the alphabet {0, 1}.I. 1* 0(0 + 1)*II. (0 + 1)* 01*III. 1* 0(1 + 0)* + (0 + 1)* 01*Which of the above regular expressions are equivalent?a)I and III onlyb)I and II onlyc)II and III onlyd)I, II and IIICorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Consider the following regular expressions over the alphabet {0, 1}.I. 1* 0(0 + 1)*II. (0 + 1)* 01*III. 1* 0(1 + 0)* + (0 + 1)* 01*Which of the above regular expressions are equivalent?a)I and III onlyb)I and II onlyc)II and III onlyd)I, II and IIICorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the following regular expressions over the alphabet {0, 1}.I. 1* 0(0 + 1)*II. (0 + 1)* 01*III. 1* 0(1 + 0)* + (0 + 1)* 01*Which of the above regular expressions are equivalent?a)I and III onlyb)I and II onlyc)II and III onlyd)I, II and IIICorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
Explore Courses for GATE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev