Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Which of the following does not exists?a)Turi...
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Which of the following does not exists?
- a)Turing Machine with Multiple heads
- b)Turing Machine with infinite tapes
- c)Turing machine with two dimensional tapes
- d)None of the mentioned
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following does not exists?a)Turing Machine with Multiple ...
All of the mentioned are one or the other kind of Turing machines in existence.
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Which of the following does not exists?a)Turing Machine with Multiple ...
Understanding Turing Machines
Turing Machines (TMs) are fundamental models of computation that help us understand the limits of what can be computed. Each type of Turing Machine has unique features that extend its capabilities while still maintaining the core principles of the original model.
Types of Turing Machines
- Multiple Heads: A Turing Machine can have multiple heads that read and write on the tape simultaneously. This variation can speed up computation but does not increase the class of problems that can be solved.
- Infinite Tapes: A Turing Machine can be conceptualized with an infinite tape, allowing it to store and manipulate unlimited data. This is a common feature in theoretical models.
- Two-Dimensional Tapes: A Turing Machine can also be designed to operate on a two-dimensional tape, expanding the way data is organized and accessed. This does not change the computational power compared to the standard one-dimensional tape.
Conclusion: Why Option D is Correct
The option "None of the mentioned" (option D) is correct because all the specified types of Turing Machines—those with multiple heads, infinite tapes, and two-dimensional tapes—exist as theoretical constructs. They are all variations of the Turing Machine that serve to explore different computational capabilities, but they do not create new classes of computable functions.
Thus, every mentioned type of Turing Machine is valid, confirming that option D, which claims none of them do not exist, is indeed the correct answer. Understanding these variations is essential for grasping the broader concepts in computational theory.
Turing Machines (TMs) are fundamental models of computation that help us understand the limits of what can be computed. Each type of Turing Machine has unique features that extend its capabilities while still maintaining the core principles of the original model.
Types of Turing Machines
- Multiple Heads: A Turing Machine can have multiple heads that read and write on the tape simultaneously. This variation can speed up computation but does not increase the class of problems that can be solved.
- Infinite Tapes: A Turing Machine can be conceptualized with an infinite tape, allowing it to store and manipulate unlimited data. This is a common feature in theoretical models.
- Two-Dimensional Tapes: A Turing Machine can also be designed to operate on a two-dimensional tape, expanding the way data is organized and accessed. This does not change the computational power compared to the standard one-dimensional tape.
Conclusion: Why Option D is Correct
The option "None of the mentioned" (option D) is correct because all the specified types of Turing Machines—those with multiple heads, infinite tapes, and two-dimensional tapes—exist as theoretical constructs. They are all variations of the Turing Machine that serve to explore different computational capabilities, but they do not create new classes of computable functions.
Thus, every mentioned type of Turing Machine is valid, confirming that option D, which claims none of them do not exist, is indeed the correct answer. Understanding these variations is essential for grasping the broader concepts in computational theory.
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Which of the following does not exists?a)Turing Machine with Multiple headsb)Turing Machine with infinite tapesc)Turing machine with two dimensional tapesd)None of the mentionedCorrect answer is option 'D'. Can you explain this answer?
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