A 3 inch diameter disk per track has 8 plates (16 recording surfaces), 256 sectors per track, 4096 tracks per surface, 512 bytes per sector. Calculate the disk capacity in GB.

To calculate the disk potential in GB, we want to first determine the full number of bytes at the disk after which convert it to GB. We can use the following formula to calculate the entire number of bytes:

Total variety of bytes = quantity of plates x wide variety of surfaces x range of tracks in step with floor x range of sectors consistent with song x wide variety of bytes in step with zone

Given that the disk has a three inch diameter and eight plates (sixteen recording surfaces), we can expect that it’s miles a three.5 inch disk with double-sided recording. Therefore, the range of recording surfaces is two x eight = sixteen.

Using the values given within the trouble, we can alternative them into the formulation:

Total wide variety of bytes = 8 x sixteen x 4096 x 256 x 512

= eight x 16 x 2^12 x 2^8 x 2^9

= eight x 16 x 2^29

= 8 x 536870912

= 4294967296 bytes

To convert the full number of bytes to GB, we need to divide by using 2^30, which is the wide variety of bytes in one GB:

Disk ability in GB = 4294967296 bytes / 2^30 bytes/GB = 4 GB (approximately) Therefore, the disk capability is about four GB.