Friday, July 4, 2008

Find out the storage capacity of a magnetic disk having 80 tracks, 15 sectors per track and storing 512 bytes per

Magnetic disks are direct-access medium and so are the most popular online secondary storage devices. Direct-access devices are also called random-access devices because information is literally available at random or in any order. Access to any location on the device is direct and so approximately equal access time is required for each location. An example of this is a music CD where if you wish to listen to the 5th song, you can directly select the 5th track. It does not require you to fast forward the previous 4 songs.
Magnetic disk is a circular plate made of metal or plastic, coated with magnetized material. Often both sides of the disk are used. Data is recorded on the disk in the form of magnetised and non-magnetised spots (not visible to the naked eye).

Track: Data is stored in concentric rings or tracks. To minimize the interference of magnetic fields, the adjacent tracks are separated by inter track gaps.

Sector: Tracks are commonly divided into sections called sectors. In most systems, the minimum quantity of information that can be transferred is a sector. Usually 8 or more sectors per track are found.

Usually the upper surface of the topmost disk and the lower surface of the bottom-most disk are not used since these are prone to getting scratched easily. For faster access of data from disk packs, a concept called cylinders is used.

Disk Storage Capacity
Capacity: Maximum number of bits that can be stored
 Vendors express capacity in units of gigabytes (GB), where 1 GB = 10^9.
Capacity is determined by these technology factors: Capacity is determined by these technology factors:
 Recording density (bits/in): number of bits that can be squeezed into a 1 inch segment of a track.
 Track density (tracks/in): number of tracks that can be squeezed into a 1 inch radial segment.
 Arial density (bits/in2): product of recording and track density.
The storage capacity of a disk system can be determined as follows:
Storage capacity = Number of recording surfaces x Number of tracks per surface x
Number of sectors per track x Number of bytes per sector
In this question we have given a Magnetic disk having 80 tracks having 15 sectors per track. Also, each sector can store 512 bytes, then

Storage capacity = 2 sides per disk x 80 tracks per side x
15 sectors per track x 512 bytes per sector
= 1,228,800 bytes
= Approximately 1.23 MB

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