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Commonly, a decimal SI metric prefix (such as kilo-) is used with bit and byte to express larger sizes (kilobit, kilobyte). But, this is usually inaccurate since these prefixes are decimal, whereas binary hardware size is usually binary. Customarily, each metric prefix, 1000 n, is used to mean a close approximation of a binary multiple, 1024 n ...
A group of 8 bits (8 bit) constitutes one byte (1 B). The byte is the most common unit of measurement of information (megabyte, mebibyte, gigabyte, gibibyte, etc.). The decimal SI prefixes kilo, mega etc., are powers of 10. The power of two equivalents are the binary prefixes kibi, mebi, etc. Accordingly: 1 kB = 1000 bytes = 8000 bits
This timeline of binary prefixes lists events in the history of the evolution, development, and use of units of measure that are germane to the definition of the binary prefixes by the International Electrotechnical Commission (IEC) in 1998, [1] [2] used primarily with units of information such as the bit and the byte.
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 unit is called decimal digit, hartley, ban, decit, or dit, and is equal to log 2 10 (≈ 3.322) bits. [2] [4 ...
The integer data that are directly supported by the computer hardware have a fixed width of a low power of 2, e.g. 8 bits ≙ 1 byte, 16 bits ≙ 2 bytes, 32 bits ≙ 4 bytes, 64 bits ≙ 8 bytes, 128 bits ≙ 16 bytes. The low-level access sequence to the bytes of such a field depends on the operation to be performed.
However, the capacity was also quoted "1.2 MB", [41] which was a hybrid decimal and binary notation, since the "M" meant 1000 × 1024. The precise value was 1.2288 MB (decimal) or 1.171 875 MiB (binary). The 5.25-inch Apple Disk II had 256 bytes per sector, 13 sectors per track, 35 tracks per side, or a total capacity of 116 480 bytes.
A processor with 128-bit byte addressing could directly address up to 2 128 (over 3.40 × 10 38) bytes, which would greatly exceed the total data captured, created, or replicated on Earth as of 2018, which has been estimated to be around 33 zettabytes (over 2 74 bytes). [1] A 128-bit register can store 2 128 (over 3.40 × 10 38) different values.
Therefore, a word of n bytes can contain up to (2n)−1 decimal digits, which is always an odd number of digits. A decimal number with d digits requires 1 / 2 (d+1) bytes of storage space. For example, a 4-byte (32-bit) word can hold seven decimal digits plus a sign and can represent values ranging from ±9,999,999.