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1024 is a power of two: 2 10 (2 to the tenth power). [1] It is the nearest power of two from decimal 1000 and senary 10000 6 (decimal 1296). It is the 64th quarter square. [2] [3] 1024 is the smallest number with exactly 11 divisors (but there are smaller numbers with more than 11 divisors; e.g., 60 has 12 divisors) (sequence A005179 in the OEIS).
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 2 10 = 1024), mebi (Mi, 2 20 = 1 048 576), and gibi (Gi, 2 30 = 1 073 741 824).
Factor Term Factor Term 2 −1: 10 −1: 0.415 bits (log 2 4/3) – amount of information needed to eliminate one option out of four. 0.6–1.3 bits – approximate information per letter of English text. [3] 2 0: bit: 10 0: bit 1 bit – 0 or 1, false or true, Low or High (a.k.a. unibit)
As 1024 (2 10) is approximately 1000 (10 3), roughly corresponding to SI multiples, it was used for binary multiples as well. In 1998 the International Electrotechnical Commission (IEC) published standards for binary prefixes , requiring that the gigabyte strictly denote 1000 3 bytes and gibibyte denote 1024 3 bytes.
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]
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When b is 2, the unit is the shannon, equal to the information content of one "bit". 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