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The sequence of pages which are to be referred by microprocessor is as follows:D,C,B,A,D,C,E,D,C,B,A,BThe number of page faults that will occur in the algorithm LRU with three page frames will beSelect one:a. 9b. 10c. 8d. 7

Question

The sequence of pages which are to be referred by microprocessor is as follows:D,C,B,A,D,C,E,D,C,B,A,BThe number of page faults that will occur in the algorithm LRU with three page frames will beSelect one:a. 9b. 10c. 8d. 7

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Solution

To determine the number of page faults that will occur in the LRU algorithm with three page frames, we need to analyze the given sequence of pages: D, C, B, A, D, C, E, D, C, B, A, B.

Step 1: Initially, all three page frames are empty. Step 2: The first page, D, is referenced and causes a page fault. The page frame now contains D. Step 3: The second page, C, is referenced and causes a page fault. The page frame now contains D, C. Step 4: The third page, B, is referenced and causes a page fault. The page frame now contains D, C, B. Step 5: The fourth page, A, is referenced and causes a page fault. The page frame now contains C, B, A. Step 6: The fifth page, D, is referenced and causes a page fault. The page frame now contains B, A, D. Step 7: The sixth page, C, is referenced and causes a page fault. The page frame now contains A, D, C. Step 8: The seventh page, E, is referenced and causes a page fault. The page frame now contains D, C, E. Step 9: The eighth page, D, is referenced and causes a page fault. The page frame now contains C, E, D. Step 10: The ninth page, C, is referenced and causes a page fault. The page frame now contains E, D, C. Step 11: The tenth page, B, is referenced and causes a page fault. The page frame now contains D, C, B. Step 12: The eleventh page, A, is referenced and causes a page fault. The page frame now contains C, B, A. Step 13: The twelfth page, B, is referenced and causes a page fault. The page frame now contains B, A, B.

Therefore, the total number of page faults that will occur in the LRU algorithm with three page frames is 10.

Answer: b. 10

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