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Given references to the following pages by a program
0, 9, 0, 1,8, 1,8, 7, 8, 7, 1,2, 8, 2, 7, 8, 2, 3, 8,3 How many page faults will occur if the program has been three page frames available to it and uses an optimal replacement?
0, 9, 0, 1,8, 1,8, 7, 8, 7, 1,2, 8, 2, 7, 8, 2, 3, 8,3 How many page faults will occur if the program has been three page frames available to it and uses an optimal replacement?
- a)7
- b)8
- c)9
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Given references to the following pages by a program0, 9, 0, 1,8, 1,8,...
Page sequence 0, 9, 0, 1,8, 1,8, 7, 8, 7, 1,2, 3, 2, 7, 8, 2, 3, 8, 3
Given 3 page frames are available and optimal replacement policy.
Given 3 page frames are available and optimal replacement policy.
Most Upvoted Answer
Given references to the following pages by a program0, 9, 0, 1,8, 1,8,...
Given:
References to the following pages: 0, 9, 0, 1, 8, 1, 8, 7, 8, 7, 1, 2, 8, 2, 7, 8, 2, 3, 8, 3
Number of page frames available: 3
To solve this problem, we can use the Optimal Page Replacement algorithm. Here's how it works:
1. Initialize: Set the number of page faults to 0.
2. Create an empty set: This set will be used to store the pages currently in memory.
3. Iterate through the page references:
a. If the current page is already present in the set, continue to the next page reference.
b. If the set is not full (i.e., the number of pages in the set is less than the number of page frames available), add the current page to the set and continue to the next page reference.
c. If the set is full, remove the page from the set that will not be referenced for the longest time in the future (according to the remaining page references). Replace it with the current page and increment the number of page faults.
4. Repeat step 3 until all page references have been processed.
Applying the Optimal Page Replacement algorithm to the given problem:
1. The first three page references (0, 9, 0) are added to the set, resulting in page faults.
2. The fourth page reference (1) is not present in the set, so we replace one of the pages in the set with the current page (1). This results in a page fault.
3. The next two page references (8, 1) are already present in the set, so we continue to the next page reference.
4. The next three page references (8, 7, 8) are already present in the set, so we continue to the next page reference.
5. The next three page references (7, 1, 2) are already present in the set, so we continue to the next page reference.
6. The next two page references (8, 2) are already present in the set, so we continue to the next page reference.
7. The next three page references (7, 8, 2) are already present in the set, so we continue to the next page reference.
8. The next two page references (3, 8) are not present in the set. We replace one of the pages in the set with the current page (3). This results in a page fault.
9. The last page reference (3) is already present in the set, so we continue to the next page reference.
Counting the page faults:
Based on the above steps, we can see that there are 7 page faults in total.
Therefore, the correct answer is option 'A' - 7.
References to the following pages: 0, 9, 0, 1, 8, 1, 8, 7, 8, 7, 1, 2, 8, 2, 7, 8, 2, 3, 8, 3
Number of page frames available: 3
To solve this problem, we can use the Optimal Page Replacement algorithm. Here's how it works:
1. Initialize: Set the number of page faults to 0.
2. Create an empty set: This set will be used to store the pages currently in memory.
3. Iterate through the page references:
a. If the current page is already present in the set, continue to the next page reference.
b. If the set is not full (i.e., the number of pages in the set is less than the number of page frames available), add the current page to the set and continue to the next page reference.
c. If the set is full, remove the page from the set that will not be referenced for the longest time in the future (according to the remaining page references). Replace it with the current page and increment the number of page faults.
4. Repeat step 3 until all page references have been processed.
Applying the Optimal Page Replacement algorithm to the given problem:
1. The first three page references (0, 9, 0) are added to the set, resulting in page faults.
2. The fourth page reference (1) is not present in the set, so we replace one of the pages in the set with the current page (1). This results in a page fault.
3. The next two page references (8, 1) are already present in the set, so we continue to the next page reference.
4. The next three page references (8, 7, 8) are already present in the set, so we continue to the next page reference.
5. The next three page references (7, 1, 2) are already present in the set, so we continue to the next page reference.
6. The next two page references (8, 2) are already present in the set, so we continue to the next page reference.
7. The next three page references (7, 8, 2) are already present in the set, so we continue to the next page reference.
8. The next two page references (3, 8) are not present in the set. We replace one of the pages in the set with the current page (3). This results in a page fault.
9. The last page reference (3) is already present in the set, so we continue to the next page reference.
Counting the page faults:
Based on the above steps, we can see that there are 7 page faults in total.
Therefore, the correct answer is option 'A' - 7.
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Given references to the following pages by a program0, 9, 0, 1,8, 1,8, 7, 8, 7, 1,2, 8, 2, 7, 8, 2, 3, 8,3How many page faults will occur if the program has been three page frames available to it and uses an optimal replacement?a)7b)8c)9d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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