How many address lines and data lines are required to provide a memory…

2019

How many address lines and data lines are required to provide a memory capacity of 16𝐾 × 16?

  1. A.

    10,4

  2. B.

    16,16

  3. C.

    14,16

  4. D.

    4,16

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Correct answer: C

Answer: 14 address lines and 16 data lines.

Key idea: The number of address lines is the base-2 logarithm of the number of addressable words; the number of data lines equals the word width in bits.

  • Compute the number of words: 16K = 16 × 1024 = 16384 words.

  • Address lines needed = log2(number of words) = log2(16384) = 14 (because 16384 = 2^14).

  • Data lines = word size = 16 bits, so 16 data lines are required.

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