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In the mathematical discipline of set theory, 0 # (zero sharp, also 0#) is the set of true formulae about indiscernibles and order-indiscernibles in the Gödel constructible universe. It is often encoded as a subset of the natural numbers (using Gödel numbering ), or as a subset of the hereditarily finite sets , or as a real number .
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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.
ASCII (/ ˈ æ s k iː / ⓘ ASS-kee), [3]: 6 an acronym for American Standard Code for Information Interchange, is a character encoding standard for electronic communication. . ASCII codes represent text in computers, telecommunications equipment, and other devic
Characters are typically combined into strings. Historically, the term character was used to denote a specific number of contiguous bits. While a character is most commonly assumed to refer to 8 bits (one byte) today, other options like the 6-bit character code were once popular, [2] [3] and the 5-bit Baudot code has been
As an example, "0020" does not represent 20 10 (2×10 1 + 0×10 0), but rather 20 8 = 16 10 (2×8 1 + 0×8 0 = 1×10 1 + 6×10 0). Decimal numbers written with leading zeros will be interpreted as octal by languages that follow this convention and will generate errors if they contain "8" or "9", since these digits do not exist in octal.
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Similarly, a sharp sign raises the pitch by one semitone. For example, a sharp on the note D would raise it to D♯ while a flat would lower it to D♭. Double sharps and double flats are less common, but they are used. A double sharp is placed before a note to make it two semitones higher, a double flat - two semitones lower.