Consider a logical address space of 8 pages of 1024 words mapped with memory…

2011

Consider a logical address space of 8 pages of 1024 words mapped with memory of 32 frames. How many bits are there in the physical address

  1. A.

    9 bits

  2. B.

    11 bits

  3. C.

    13 bits

  4. D.

    15 bits

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Correct answer: D

The physical address is composed of the frame number and the page offset. Since there are 32 frames, the frame number requires five bits because log base two of thirty-two equals five. The page size is 1024 words, requiring ten bits for the offset since log base two of one thousand twenty-four equals ten. Adding these together yields a total physical address size of fifteen bits.

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