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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.
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.
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 ...
Without proper rendering support, you may see question marks, boxes, or other symbols. In mathematical set theory, Cantor's theorem is a fundamental result which states that, for any set , the set of all subsets of known as the power set of has a strictly greater cardinality than itself. For finite sets, Cantor's theorem can be seen to be true ...
Orders of magnitude (data) An order of magnitude is usually a factor of ten. Thus, four orders of magnitude is a factor of 10,000 or 10 4 . This article presents a list of multiples, sorted by orders of magnitude, for units of information measured in bits and bytes . The byte is a common unit of measurement of information ( kilobyte, kibibyte ...
t. e. A binary prefix is a unit prefix that indicates a multiple of a unit of measurement by an integer power of two. The most commonly used binary prefixes are kibi (symbol Ki, meaning 210 = 1024 ), mebi (Mi, 2 20 = 1 048 576 ), and gibi (Gi, 2 30 = 1 073 741 824 ). They are most often used in information technology as multipliers of bit and ...