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1.6 × 10 12 bits (200 gigabytes) – capacity of a hard disk that would be considered average as of 2008. In 2005 a 200 GB harddisk cost US$100, [5] equivalent to $161 in 2024. As of April 2015, this is the maximum capacity of a fingernail-sized microSD card. 2 41
When b is 2, the unit is the shannon, equal to the information content of one "bit". A system with 8 possible states, for example, can store up to log 2 8 = 3 bits of information. Other units that have been named include: Base b = 3 the unit is called "trit", and is equal to log 2 3 (≈ 1.585) bits. [3] Base b = 10
The gigabyte (/ ˈ ɡ ɪ ɡ ə b aɪ t, ˈ dʒ ɪ ɡ ə b aɪ t /) [1] is a multiple of the unit byte for digital information. The prefix giga means 10 9 in the International System of Units (SI). Therefore, one gigabyte is one billion bytes. The unit symbol for the gigabyte is GB.
On the other hand, a hard disk whose capacity is specified by the manufacturer as "10 gigabytes" or "10 GB", holds 10 × 10 9 = 10 000 000 000 bytes, or a little more than that, but less than 10 × 2 30 = 10 737 418 240 and a file whose size is listed as "2.3 GB" may have a size closer to 2.3 × 2 30 ≈ 2 470 000 000 or to 2.3 × 10 9 = 2 300 ...
Due to typical file system design, the amount of space allocated for a file is usually larger than the size of the file's data – resulting in a relatively small amount of storage space for each file, called slack space or internal fragmentation, that is not available for other files but is not used for data in the file to which it belongs.
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An infinite series of any rational function of can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition, [8] as explained here. This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms.
In order to calculate the data transmission rate, one must multiply the transfer rate by the information channel width. For example, a data bus eight-bytes wide (64 bits) by definition transfers eight bytes in each transfer operation; at a transfer rate of 1 GT/s, the data rate would be 8 × 10 9 B/s, i.e. 8 GB/s, or approximately 7.45 GiB/s