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For the following decimal virtual addresses, which pair composed of the virtual page number and the offset is correct for a 4-KB page: 10000, 32768, 60000?

Answer :

The correct virtual page number and offset pairs for a 4-kb page size for the given decimal virtual addresses are:

  • 10000: Virtual Page Number = 2, Offset = 5376
  • 32768: Virtual Page Number = 8, Offset = 0
  • 60000: Virtual Page Number = 14, Offset = 4096

To find the correct virtual page number and offset pairs for the given decimal virtual addresses, we need to assume a page size of 4 KB, equivalent to 2^12 bytes. The 12 least significant bits of each virtual address represent the offset within the page, and the remaining bits represent the virtual page number.

For the first virtual address 10000, we can find the virtual page number by dividing the address by the page size, which gives us 2.

The offset can be found by taking the remainder of the division, which is 5376.

For the second virtual address 32768, we can find the virtual page number by dividing the address by the page size, which gives us 8. Since the remainder is 0, the offset is also 0.

For the third virtual address 60000, we can find the virtual page number by dividing the address by the page size, which gives us 14.

The offset can be found by taking the remainder of the division, which is 4096.

Therefore, the correct virtual page number and offset pairs for the given decimal virtual addresses with a 4-kb page size are:

10000: Virtual Page Number = 2, Offset = 5376

32768: Virtual Page Number = 8, Offset = 0

60000: Virtual Page Number = 14, Offset = 4096

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