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There are five virtual pages, numbered from 0 to 4. The page are referenced in the following order
0 1 2 3 0 1 4 0 1 2 3 4
If FIFO page replacement algorithm is used then find:
1. Number of page replacement faults that occur if 3 page frames are present.
2. Number of page faults that occur if 4 page frames are present.
  • a)
    10,9
  • b)
    9,10
  • c)
    9, 8
  • d)
    10,11
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
There are five virtual pages, numbered from 0 to 4. The page are refer...
If 3 page frames are used

Page hit : 0, 1, 4.
∴ Number of page fault = 9
If 4 pages frames are used

Page faults ; 0, 1, 2, 3, 4, 0, 1,2, 3, 4 Page hit : 0, 1
∴ Number of page faults = 10
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Most Upvoted Answer
There are five virtual pages, numbered from 0 to 4. The page are refer...
Explanation:

First-In-First-Out (FIFO) algorithm: It is a page replacement algorithm that replaces the oldest page in the main memory with a new page when a page fault occurs.

Given: 5 virtual pages numbered from 0 to 4 referenced in the following order:
0 1 2 3 0 1 4 0 1 2 3 4

1. Number of page replacement faults that occur if 3 page frames are present:

Step 1: Initially all the page frames are empty and the page fault occurs for every reference.
0 1 2 3 0 1 4 0 1 2 3 4
F F F

Step 2: For the first 3 references, the page faults occur and the pages are loaded into the page frames.
0 1 2 3 0 1 4 0 1 2 3 4
F F F 0 1 2

Step 3: For the next 3 references, the pages are already present in the page frames and no page fault occurs.
0 1 2 3 0 1 4 0 1 2 3 4
F F F 0 1 2

Step 4: For the next reference, page 4 is not present in any of the page frames and a page fault occurs. As per FIFO algorithm, the oldest page in the memory is replaced with page 4.
0 1 2 3 0 1 4 0 1 2 3 4
F F F 0 1 2 F

Step 5: For the next 3 references, the pages are already present in the page frames and no page fault occurs.
0 1 2 3 0 1 4 0 1 2 3 4
F F F 0 1 2 F

Therefore, the total number of page faults = 9.

2. Number of page faults that occur if 4 page frames are present:

Step 1: Initially all the page frames are empty and the page fault occurs for every reference.
0 1 2 3 0 1 4 0 1 2 3 4
F F F F

Step 2: For the first 4 references, the page faults occur and the pages are loaded into the page frames.
0 1 2 3 0 1 4 0 1 2 3 4
F F F F 0 1 2 3

Step 3: For the next 2 references, the pages are already present in the page frames and no page fault occurs.
0 1 2 3 0 1 4 0 1 2 3 4
F F F F 0 1 2
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There are five virtual pages, numbered from 0 to 4. The page are referenced in the following order0 1 2 3 0 1 4 0 1 2 3 4If FIFO page replacement algorithm is used then find:1. Number of page replacement faults that occur if 3 page frames are present.2. Number of page faults that occur if 4 page frames are present.a)10,9b)9,10c)9, 8d)10,11Correct answer is option 'B'. Can you explain this answer?
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