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To elaborate....

Quote:

DVD vs DVD-R Capacity Fiasco

In computer binary measurement, a DVD-R 2.0 or DVD-RW disc using DVD-5 Recordable media can hold only 4.38 GB !!!

Media manufacturers boost the capacity rating of their discs by using the decimal system, where 1 kB = 1000 bytes and 1 MB = 1000 kB. This way, they can say that their discs hold 4.7 GB.

Bytes are always given in Base10 (Decimal) !!!

In the Decimal system (Base10):
1 GB10 = 1 billion bytes = 1,000,000,000 bytes
therefore 4.7 GB10 = 4.7 x 1,000,000,000 = 4,700,000,000 bytes

In the computer, Binary system (Base2):
1 GB2 = 1024 MB2 = 1024 x 1024 kB2 = 1048576 kB2
= 1048576 kB x 1024 bytes/kB = 1,073,741,800 bytes10
1 GB2 = 1024 x 1024 x 1024 bytes10 = 1,073,741,800 bytes10

Now we have the Conversion Factors for GB going from Decimal <--> Binary:

*

to convert from Binary to Decimal: 1 GB10 = 1.0737418 GB2
Decimal GB = 1.0737418 x Binary GB
*

to convert from Decimal to Binary: 1 GB2 = 1/1.0737418 = .9313226 GB10
Binary GB = .9313226 x Decimal GB

We only want to see what the computer (binary) capacity of a DVD is:

Binary DVD capacity = 4,700,000,000 bytes decimal x .9313226 = 4.38 GB