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A binary number may also refer to a rational number that has a finite representation in the binary numeral system, that is, the quotient of an integer by a power of two. The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as bit, or binary digit.
This is a list of some binary codes that are (or have been) used to represent text as a sequence of binary digits "0" and "1". Fixed-width binary codes use a set number of bits to represent each character in the text, while in variable-width binary codes, the number of bits may vary from character to character.
Computer engineers often need to write out binary quantities, but in practice writing out a binary number such as 1001001101010001 is tedious and prone to errors. Therefore, binary quantities are written in a base-8, or "octal", or, much more commonly, a base-16, "hexadecimal" (hex), number format. In the decimal system, there are 10 digits, 0 ...
However, the International Electrotechnical Commission issued standard IEC 60027, which specifies that the symbol for binary digit should be 'bit', and this should be used in all multiples, such as 'kbit', for kilobit. [11] However, the lower-case letter 'b' is widely used as well and was recommended by the IEEE 1541 Standard (2002). In ...
The modern binary number system, the basis for binary code, is an invention by Gottfried Leibniz in 1689 and appears in his article Explication de l'Arithmétique Binaire (English: Explanation of the Binary Arithmetic) which uses only the characters 1 and 0, and some remarks on its usefulness. Leibniz's system uses 0 and 1, like the modern ...
3 bits – a triad(e), (a.k.a. tribit) the size of an octal digit 2 2: nibble: 4 bits – (a.k.a. tetrad(e), nibble, quadbit, semioctet, or halfbyte) the size of a hexadecimal digit; decimal digits in binary-coded decimal form 5 bits – the size of code points in the Baudot code, used in telex communication (a.k.a. pentad)
For binary hardware, by far the most common hardware today, the smallest unit is the bit, a portmanteau of binary digit, [1] which represents a value that is one of two possible values; typically shown as 0 and 1. The nibble, 4 bits, represents the value of a single hexadecimal digit.
65 is the length of the hypotenuse of 4 different Pythagorean triangles, the lowest number to have more than 2: 65 2 = 16 2 + 63 2 = 33 2 + 56 2 = 39 2 + 52 2 = 25 2 + 60 2. [10] The first two are "primitive", and 65 is the lowest number to be the largest side of more than one such triple. [11] 65 is the number of compositions of 11 into ...