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The number of address lines required to address a 16 MB memory space is:Group of answer choices24182014

Question

The number of address lines required to address a 16 MB memory space is:

Group of answer choices:

  • 24
  • 18
  • 20
  • 14
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Solution

To address a 16 MB memory space, we need to calculate the number of address lines required.

  1. First, we need to convert the memory space from Megabytes to bits. Since 1 Byte = 8 bits and 1 Megabyte = 1024^2 Bytes, 16 Megabytes = 16 * 1024^2 * 8 bits = 134,217,728 bits.

  2. The number of address lines required is the number of binary digits (bits) needed to represent the total number of memory locations. This is calculated by taking the base-2 logarithm of the total number of memory locations.

  3. Since each memory location stores 1 byte (8 bits), the total number of memory locations = 134,217,728 bits / 8 bits/byte = 16,777,216.

  4. Therefore, the number of address lines required = log2(16,777,216) = 24.

So, the number of address lines required to address a 16 MB memory space is 24.

This problem has been solved

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