Consider a system where each file is associated with a 16 bit number. For each…

2014

Consider a system where each file is associated with a 16 bit number. For each file, each user should have the read and write capability. How much memory is needed to store each user's access data?

  1. A.

    16 KB

  2. B.

    32 KB

  3. C.

    64 KB

  4. D.

    128 KB

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Correct answer: A

A 16-bit identifier supports 2^16 files (65,536). Each file needs 2 bits per user for read/write access. Total = 65,536 * 2 bits = 131,072 bits. In bytes: 131,072 / 8 = 16,384 bytes. This is exactly 16 KB.

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