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These prefixes are more often used for multiples of bytes, as in kilobyte (1 kB = 8000 bit), megabyte (1 MB = 8 000 000 bit), and gigabyte (1 GB = 8 000 000 000 bit). However, for technical reasons, the capacities of computer memories and some storage units are often multiples of some large power of two, such as 2 28 = 268 435 456 bytes.
Consequently, no file could be larger than 2 32 − 1 bytes (4 GiB − 1). In many implementations, the problem was exacerbated by treating the sizes as signed numbers, which further lowered the limit to 2 31 − 1 bytes (2 GiB − 1). Files that were too large for 32-bit operating systems to handle came to be known as large files.
Cantor's diagonal argument (among various similar names [ note 1]) is a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers – informally, that there are sets which in some sense contain more elements than there are positive integers.
2 0: bit: 10 0: bit 1 bit – 0 or 1, false or true, Low or High (a.k.a. unibit) 1.442695 bits (log 2 e) – approximate size of a nat (a unit of information based on natural logarithms) 1.5849625 bits (log 2 3) – approximate size of a trit (a base-3 digit) 2 1: 2 bits – a crumb (a.k.a. dibit) enough to uniquely identify one base pair of DNA
The ISQ symbols for the bit and byte are bit and B, respectively.In the context of data-rate units, one byte consists of 8 bits, and is synonymous with the unit octet.The abbreviation bps is often used to mean bit/s, so that when a 1 Mbps connection is advertised, it usually means that the maximum achievable bandwidth is 1 Mbit/s (one million bits per second), which is 0.125 MB/s (megabyte per ...
The byte is a unit of digital information that most commonly consists of eight bits. Historically, the byte was the number of bits used to encode a single character of text in a computer [ 1][ 2] and for this reason it is the smallest addressable unit of memory in many computer architectures. To disambiguate arbitrarily sized bytes from the ...
The gigabyte ( / ˈɡɪɡəbaɪt, ˈdʒɪɡəbaɪt /) [ 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 . This definition is used in all contexts of science (especially data ...
1 MB = 1 048 576 bytes (= 1024 2 B = 2 20 B) is the definition used by Microsoft Windows in reference to computer memory, such as random-access memory (RAM). This definition is synonymous with the unambiguous binary unit mebibyte. In this convention, one thousand and twenty-four megabytes (1024 MB) is equal to one gigabyte (1 GB), where 1 GB is ...