Which one of the following is the restriction of indirect addressing?

2022

Which one of the following is the restriction of indirect addressing?

  1. A.

    Page-size ≤ 2ᵏ

  2. B.

    Page-size ≤ 2ᵏ⁻¹

  3. C.

    Page-size ≥ 2ᵏ

  4. D.

    Page-size ≥ 2ᵏ⁻¹

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Correct answer: B

Key idea: indirect addressing uses part of the address field to indicate indirection, reducing the bits available for the page offset.

  • If the address space has k bits, normally up to 2ᵏ addresses are representable.

  • Indirect addressing consumes one bit to indicate indirection, leaving k−1 bits available for the actual offset/page addressing.

  • Therefore the maximum page size is 2ᵏ⁻¹, so the restriction is:

Conclusion: Page-size ≤ 2ᵏ⁻¹. This ensures the indirect address fits within the available bits.

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