In a paged memory, the page hit ratio is 0.40. The time required to access a…

2018

In a paged memory, the page hit ratio is 0.40. The time required to access a page in secondary memory is equal to 120 ns. The time required to access a page in primary memory is 15 ns. The average time required to access a page is ________.

  1. A.

    105

  2. B.

    68

  3. C.

    75

  4. D.

    78

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Correct answer: D

Solution:

  1. Identify probabilities:

    • Page hit ratio = 0.40

    • Page miss ratio = 1 − 0.40 = 0.60

  2. Use the average access time formula:

    Average time = (hit ratio × primary access time) + (miss ratio × secondary access time)

  3. Substitute the given values:

    • Average time = 0.40 × 15 ns + 0.60 × 120 ns

    • Average time = 6 ns + 72 ns = 78 ns

Answer: 78 ns

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