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Select the option that will give highest number of page faults for the sequence – 7, 0, 1, 2, 0, 3, 0, 4, 2, 3, 0, 3, 2, 1, 2, 0, 1, 7, 0, 1.
  • a)
    Optimal Page Replacement Algorithm with 3 frames
  • b)
    LRU Page Replacement Algorithm with 3 frames
  • c)
    Optimal Page Replacement Algorithm with 4 frames
  • d)
    LRU Page Replacement Algorithm with 4 frames
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Select the option that will give highest number of page faults for the...
Optimal Page Replacement Algorithm with 3 frames – 9 page faults
Optimal Page Replacement Algorithm with 4 frames – 8 page faults
LRU Page Replacement Algorithm with 3 frames – 12 page faults
LRU Page Replacement Algorithm with 4 frames – 8 page faults
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Most Upvoted Answer
Select the option that will give highest number of page faults for the...
Explanation:

In this question, we are given a sequence of page references and we need to determine which page replacement algorithm and the number of frames will result in the highest number of page faults. Let's analyze each option:

Option A: Optimal Page Replacement Algorithm with 3 frames
The Optimal Page Replacement Algorithm replaces the page that will not be used for the longest time in the future. Since we only have 3 frames, the algorithm will have to replace a page in every reference except for the first 3. Let's go through the sequence and see which pages are replaced:
- 7: Page fault, page 7 is brought into frame 1.
- 0: Page fault, page 0 is brought into frame 2.
- 1: Page fault, page 1 is brought into frame 3.
- 2: Page fault, page 2 replaces page 7 in frame 1.
- 0: Page fault, page 0 replaces page 0 in frame 2.
- 3: Page fault, page 3 replaces page 1 in frame 3.
- 0: Page fault, page 0 replaces page 2 in frame 1.
- 4: Page fault, page 4 replaces page 0 in frame 2.
- 2: Page fault, page 2 replaces page 3 in frame 3.
- 3: Page fault, page 3 replaces page 0 in frame 1.
- 0: Page fault, page 0 replaces page 4 in frame 2.
- 3: Page fault, page 3 replaces page 2 in frame 3.
- 2: Page fault, page 2 replaces page 3 in frame 1.
- 1: Page fault, page 1 replaces page 0 in frame 2.
- 2: Page fault, page 2 replaces page 4 in frame 3.
- 0: Page fault, page 0 replaces page 1 in frame 1.
- 1: Page fault, page 1 replaces page 3 in frame 2.
- 7: Page fault, page 7 replaces page 2 in frame 3.
- 0: Page fault, page 0 replaces page 1 in frame 1.

In total, we have 15 page faults with this algorithm.

Option B: LRU Page Replacement Algorithm with 3 frames
The LRU (Least Recently Used) Page Replacement Algorithm replaces the page that has not been used for the longest time. Let's go through the sequence and see which pages are replaced:
- 7: Page fault, page 7 is brought into frame 1.
- 0: Page fault, page 0 is brought into frame 2.
- 1: Page fault, page 1 is brought into frame 3.
- 2: Page fault, page 2 replaces page 7 in frame 1.
- 0: Page fault, page 0 replaces page 0 in frame 2.
- 3: Page fault, page 3 replaces page 1 in frame 3.
- 0: Page fault, page 0 replaces page 2 in frame 1.
- 4: Page fault, page 4 replaces page 0 in frame 2.
- 2: Page fault
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Select the option that will give highest number of page faults for the sequence – 7, 0, 1, 2, 0, 3, 0, 4, 2, 3, 0, 3, 2, 1, 2, 0, 1, 7, 0, 1.a)Optimal Page Replacement Algorithm with 3 framesb)LRU Page Replacement Algorithm with 3 framesc)Optimal Page Replacement Algorithm with 4 framesd)LRU Page Replacement Algorithm with 4 framesCorrect answer is option 'B'. Can you explain this answer?
Question Description
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