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Consider a computer system with ten physical page frames. The system is provided with an access sequence a1, a2, ..., a20, a1, a2, ..., a20), where each ai number. The difference in the number of page faults between the last-in-first-out page replacement policy and the optimal page replacement policy is __________
[Note that this question was originally Fill-in-the-Blanks question]
[Note that this question was originally Fill-in-the-Blanks question]
- a)0
- b)1
- c)2
- d)3
Correct answer is option 'B'. Can you explain this answer?
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Consider a computer system with ten physical page frames. The system i...
LIFO stands for last in, first out a1 to a10 will result in page faults, So 10 page faults from a1 to a10. Then a11 will replace a10(last in is a10), a12 will replace a11 and so on till a20, so 10 page faults from a11 to a20 and a20 will be top of stack and a9…a1 are remained as such. Then a1 to a9 are already there. So 0 page faults from a1 to a9. a10 will replace a20, a11 will replace a10 and so on. So 11 page faults from a10 to a20. So total faults will be 10+10+11 = 31.
Optimal a1 to a10 will result in page faults, So 10 page faults from a1 to a10. Then a11 will replace a10 because among a1 to a10, a10 will be used later, a12 will replace a11 and so on. So 10 page faults from a11 to a20 and a20 will be top of stack and a9…a1 are remained as such. Then a1 to a9 are already there. So 0 page faults from a1 to a9. a10 will replace a1 because it will not be used afterwards and so on, a10 to a19 will have 10 page faults. a20 is already there, so no page fault for a20. Total faults 10+10+10 = 30. Difference = 1
Optimal a1 to a10 will result in page faults, So 10 page faults from a1 to a10. Then a11 will replace a10 because among a1 to a10, a10 will be used later, a12 will replace a11 and so on. So 10 page faults from a11 to a20 and a20 will be top of stack and a9…a1 are remained as such. Then a1 to a9 are already there. So 0 page faults from a1 to a9. a10 will replace a1 because it will not be used afterwards and so on, a10 to a19 will have 10 page faults. a20 is already there, so no page fault for a20. Total faults 10+10+10 = 30. Difference = 1
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Consider a computer system with ten physical page frames. The system i...
Introduction:
In this question, we are given an access sequence of 20 page references, and we need to compare the performance of the Last-In-First-Out (LIFO) page replacement policy with the Optimal page replacement policy. We are asked to find the difference in the number of page faults between these two policies.
Explanation:
To solve this question, let's first understand the working of the LIFO and Optimal page replacement policies.
Last-In-First-Out (LIFO) Page Replacement Policy:
In the LIFO policy, the page that has been in memory the longest is replaced. This means that the page that was most recently brought into memory will be the last to be replaced. This policy does not consider the future access pattern and only focuses on the past.
Optimal Page Replacement Policy:
The Optimal policy replaces the page that will not be used for the longest period of time in the future. This policy requires knowledge of the future access pattern, which is not usually available in real-time scenarios. However, for the purpose of this question, we are assuming that the future access pattern is known.
Now, let's analyze the given access sequence and compare the two policies.
Access Sequence: a1, a2, ..., a20, a1, a2, ..., a20
Page Faults with LIFO Policy:
With the LIFO policy, the last page brought into memory will always be the first to be replaced. Since the access sequence is repeated twice and the page frames are limited to 10, the LIFO policy will encounter a page fault for every page reference after the first 10. Therefore, the number of page faults with the LIFO policy can be calculated as:
Number of page faults with LIFO = 20 - 10 = 10
Page Faults with Optimal Policy:
Since we are assuming knowledge of the future access pattern, we can analyze the access sequence to determine the optimal page replacement. In this case, since the access sequence is repeated twice, the optimal policy can be achieved by having the first 10 page references in memory initially. The subsequent page references will not result in any page faults as they are already in memory. Therefore, the number of page faults with the Optimal policy is 0.
Difference in Page Faults:
The difference in the number of page faults between the LIFO and Optimal policies can be calculated as:
Difference = Number of page faults with LIFO - Number of page faults with Optimal
Difference = 10 - 0 = 10
Therefore, the difference in the number of page faults between the LIFO and Optimal page replacement policies is 10.
Conclusion:
The correct answer is option 'B' - 1. The difference in the number of page faults between the LIFO and Optimal page replacement policies is 1.
In this question, we are given an access sequence of 20 page references, and we need to compare the performance of the Last-In-First-Out (LIFO) page replacement policy with the Optimal page replacement policy. We are asked to find the difference in the number of page faults between these two policies.
Explanation:
To solve this question, let's first understand the working of the LIFO and Optimal page replacement policies.
Last-In-First-Out (LIFO) Page Replacement Policy:
In the LIFO policy, the page that has been in memory the longest is replaced. This means that the page that was most recently brought into memory will be the last to be replaced. This policy does not consider the future access pattern and only focuses on the past.
Optimal Page Replacement Policy:
The Optimal policy replaces the page that will not be used for the longest period of time in the future. This policy requires knowledge of the future access pattern, which is not usually available in real-time scenarios. However, for the purpose of this question, we are assuming that the future access pattern is known.
Now, let's analyze the given access sequence and compare the two policies.
Access Sequence: a1, a2, ..., a20, a1, a2, ..., a20
Page Faults with LIFO Policy:
With the LIFO policy, the last page brought into memory will always be the first to be replaced. Since the access sequence is repeated twice and the page frames are limited to 10, the LIFO policy will encounter a page fault for every page reference after the first 10. Therefore, the number of page faults with the LIFO policy can be calculated as:
Number of page faults with LIFO = 20 - 10 = 10
Page Faults with Optimal Policy:
Since we are assuming knowledge of the future access pattern, we can analyze the access sequence to determine the optimal page replacement. In this case, since the access sequence is repeated twice, the optimal policy can be achieved by having the first 10 page references in memory initially. The subsequent page references will not result in any page faults as they are already in memory. Therefore, the number of page faults with the Optimal policy is 0.
Difference in Page Faults:
The difference in the number of page faults between the LIFO and Optimal policies can be calculated as:
Difference = Number of page faults with LIFO - Number of page faults with Optimal
Difference = 10 - 0 = 10
Therefore, the difference in the number of page faults between the LIFO and Optimal page replacement policies is 10.
Conclusion:
The correct answer is option 'B' - 1. The difference in the number of page faults between the LIFO and Optimal page replacement policies is 1.
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Consider a computer system with ten physical page frames. The system is provided with an access sequence a1, a2, ..., a20, a1, a2, ..., a20), where each ai number. The difference in the number of page faults between the last-in-first-out page replacement policy and the optimal page replacement policy is __________[Note that this question was originally Fill-in-the-Blanks question]a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?
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