Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  The number of states in the minimum sized DFA... Start Learning for Free
The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)* is __________________
[Note that this question was originally asked as Fill-in-the-Blanks type]
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The number of states in the minimum sized DFA that accepts the languag...
So, the minimum number of states is 2.   Thus, B is the correct answer.
View all questions of this test
Most Upvoted Answer
The number of states in the minimum sized DFA that accepts the languag...
Explanation:
To find the minimum size DFA that accepts the language defined by the regular expression (0 1)*(0 1)(0 1)*, we need to understand the regular expression and convert it into an equivalent DFA.

Regular Expression Analysis:
The regular expression (0 1)*(0 1)(0 1)* represents a language where any number of occurrences of the pattern 0 followed by 1 can appear, followed by a single occurrence of 0 followed by 1, followed by any number of occurrences of the pattern 0 followed by 1.

Conversion to DFA:
To convert the regular expression into an equivalent DFA, we can follow these steps:

1. Start with the initial state, which is also the accepting state.
2. Add a transition from the initial state to a new state on the input 0.
3. Add a transition from the new state to itself on the input 1.
4. Add a transition from the new state to another new state on the input 0.
5. Add a transition from the second new state to itself on the input 1.
6. Add a transition from the second new state to the accepting state on the input 0.
7. Add a transition from the accepting state to itself on both inputs 0 and 1.

DFA Diagram:

```
0 1
→(q0) --> (q1) --> (q2)←
| ↓ |
|--------|-------|

```

Explanation of DFA:

- q0 is the initial state and the accepting state. It represents the beginning of the regular expression.
- q1 is a new state that is reached after encountering the pattern 0 followed by 1.
- q2 is another new state that is reached after encountering the pattern 0 followed by 1 again.
- Both q1 and q2 are accepting states.
- The transitions are as follows:
- From q0 to q1 on input 0
- From q1 to q2 on input 1
- From q2 to q2 on input 1
- From q2 to q0 on input 0
- From q0 to q2 on input 0
- From q2 to q0 on input 1

Conclusion:
The minimum-sized DFA that accepts the language defined by the regular expression (0 1)*(0 1)(0 1)* has 2 states. Therefore, the correct answer is option 'A'.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)*is __________________[Note that this question was originally asked as Fill-in-the-Blanks type]a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer?
Question Description
The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)*is __________________[Note that this question was originally asked as Fill-in-the-Blanks type]a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)*is __________________[Note that this question was originally asked as Fill-in-the-Blanks type]a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)*is __________________[Note that this question was originally asked as Fill-in-the-Blanks type]a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer?.
Solutions for The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)*is __________________[Note that this question was originally asked as Fill-in-the-Blanks type]a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)*is __________________[Note that this question was originally asked as Fill-in-the-Blanks type]a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)*is __________________[Note that this question was originally asked as Fill-in-the-Blanks type]a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)*is __________________[Note that this question was originally asked as Fill-in-the-Blanks type]a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)*is __________________[Note that this question was originally asked as Fill-in-the-Blanks type]a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The number of states in the minimum sized DFA that accepts the language defined by the regular expression (0+1)*(0+1)(0+1)*is __________________[Note that this question was originally asked as Fill-in-the-Blanks type]a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
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