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I'm working on the following exercise and can't get the calculations right:

Assume an OS uses:

  • 33 bits for physical address
  • 34 bits for logical address
  • 2KB frame size

Calculate:

  • How many bits are used for the offset
  • How many bits are used to identify a frame
  • How many bits are used to identify a page

And then: Assuming the page tables include the valid and dirty(edit) bit, calculate the size (in bits) of a process' page table using all pages.

I have a hard time understanding this type of calculation and will greatly appreciate any help.

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The frame size is 2KB. Assuming memory is byte-addressable, we need an offset into 2000 different bytes. 2000 is approximately (2^10)*2 = 2^11, so we need 11 bits for the frame offset.

Then, we can easily calculate that 33 - 11 = 22 bits are used to identify a physical page (frame), and 34 - 11 = 23 bits are needed to identify a virtual page.

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