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In the context of computing, the metric prefixes are often intended to mean something other than their normal meaning. For example, a kilobyte is actually 1024 bytes even though the standard meaning of kilo is 1000. And, mega normally means one million, but in computing is often used to mean 2 20 = 1 048 576. The table below illustrates the ...
1024 = 32 2 = 4 5 = 2 10, the number of bytes in a kilobyte (in 1999, the IEC coined kibibyte to use for 1024 with kilobyte being 1000, but this convention has not been widely adopted). 1024 is the smallest 4-digit square and also a Friedman number.
The term 'kilobyte' has traditionally been used to refer to 1024 bytes (2 10 B). [5] [6] [7] The usage of the metric prefix kilo for binary multiples arose as a convenience, because 1024 is approximately 1000. [8] The binary interpretation of metric prefixes is still prominently used by the Microsoft Windows operating system. [9]
The tenth power of 2 (2 10) has the value 1024, which is close to 1000. This has prompted the use of the metric prefixes kilo, mega, and giga to also denote the powers of 1024 which is common in information technology with the unit of digital information, the byte. Units of information are not covered in the International System of Units.
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.
The base-2 numeral system is a positional notation with a radix of 2.Each digit is referred to as a bit, or binary digit.Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because ...
Conversion of units is the conversion of the unit of measurement in which a quantity is expressed, typically through a multiplicative conversion factor that changes the unit without changing the quantity. This is also often loosely taken to include replacement of a quantity with a corresponding quantity that describes the same physical property.
Each 1000-byte block of logical memory could be trivially mapped onto a subset of 1024 bytes in a chip with only 2.3% waste. But for denser chips and larger total memories, the entire decimal address had to be crunched into a shorter quasi binary form before sending the address to the chips, and done again for each cache or memory cycle.
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