Question:medium

Consider a logical address space of eight pages of 1024 words each, mapped into a physical memory of 32 frames. How many bits are there in the logical address and in the physical address, respectively?

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Break the address calculation into 'number of pages/frames' and 'words per page/frame' to find the total bits.
Updated On: Feb 11, 2026
  • 10, 5
  • 15, 13
  • 13, 15
  • 15, 10
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The Correct Option is B

Solution and Explanation

To determine the bit counts for logical and physical addresses: Logical Address: 8 pages require log2(8) = 3 bits for the page number. With 1024 words per page, log2(1024) = 10 bits are needed for the word offset. The total logical address is 3 + 10 = 13 bits. Physical Address: 32 frames require log2(32) = 5 bits for the frame number. As each frame holds 1024 words, 10 bits are for the word offset. The total physical address is 5 + 10 = 15 bits.
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