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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.
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.
This conjecture is known as Lemoine's conjecture and is also called Levy's conjecture. The Goldbach conjecture for practical numbers, a prime-like sequence of integers, was stated by Margenstern in 1984, [ 32] and proved by Melfi in 1996: [ 33] every even number is a sum of two practical numbers.
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.
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 ...