If you know your page size is 8192 on your system, then which operation on a memory address would for sure send you to the next (following) page in memory? Hint: 2^12 = 4096.

Question

BlackTom AI · Accepted Answer

8192 bytes equals 2^13 bytes, so adding 2^13 to an address advances it by exactly one page.

1) Relevant knowledge points
- Page size of 8192 bytes can be represented as a power of two: 8192 = 2^13.
- Adding the page size to an address moves that address forward by one page (to the same offset within the next page).
- Right shifts divide by powers of two (e.g., address >> 13 yields the page number, not an address in the next page).

2) Step-by-step reasoning
- Convert 8192 to a power of two using the hint 2^12 = 4096:
  2^13 = 2 * 2^12 = 2 * 4096 = 8192.
- To move from any address to the corresponding address in the next page, you add one page’s worth of bytes:
  new_address = address + page_size = address + 8192 = address + 2^13.

3) Intermediate calculations
- 2^10 = 1024 (common reference)
- 2^12 = 4096 (given)
- 2^13 = 2 * 4096 = 8192
- 2^20 = 1,048,576 (for comparison)

4) Why the correct answer is correct
- address += 2^13 adds exactly the page size (8192 bytes), shifting the address into the next page while preserving the offset within the page. This is the minimal and direct operation that moves one page forward.

5) Why the other options are incorrect
- address += 2^20: adds 1,048,576 bytes, which leaps many pages (not “the next” page).
- address >> 13: divides the address by 8192 (yields the page number), it does not produce an address in the following page.
- address >> 20: divides by 1,048,576, producing an even smaller page-number-like value; also not an address in the next page.

6) Conclusion
The correct operation to send you to the next page is address += 2^13 (2 to the power of 13), which matches the provided answer.

If you know your page size is 8192 on your system, then which operation on a memory address would for sure send you to the next (following) page in memory? Hint: 2^12 = 4096.单项选择题

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