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find the capacity (in bytes) of a disk with the following characteristics. 16 surfaces (in total) 1,024 sectors per cylinder 1,024 tracks per surface 512 bytes per sector

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Final answer:

The capacity of the disk is calculated as 16 surfaces multiplied by 1,024 sectors per cylinder, 1,024 tracks per surface, and 512 bytes per sector, resulting in 8 gigabytes (GB) of storage.

Step-by-step explanation:

To find the capacity of a disk with given characteristics, one needs to multiply the number of surfaces by the sectors per cylinder, the number of tracks per surface, and the number of bytes per sector. The formula for calculating the capacity is:

  • Surfaces
  • Sectors per cylinder
  • Tracks per surface
  • Bytes per sector

Using the provided values:

Capacity = 16 surfaces × 1,024 sectors per cylinder × 1,024 tracks per surface × 512 bytes per sector

Capacity = 8,589,934,592 bytes

When dealing with computer storage space, it's useful to convert bytes to larger units. There are 1,024 bytes in a kilobyte (KB), 1,024 KB in a megabyte (MB), 1,024 MB in a gigabyte (GB), and 1,024 GB in a terabyte (TB). Therefore:

Capacity = 8,589,934,592 bytes / 1,024 bytes/KB

Capacity = 8,388,608 KB

Capacity = 8,388,608 KB / 1,024 KB/MB

Capacity = 8,192 MB

Capacity = 8,192 MB / 1,024 MB/GB

Capacity = 8 GB

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