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[[Image:Table de correspondance entre le Bibinaire et les autres notations.svg|520px|thumb|right|Note: each Bibi digit is formed from a square arranging the 1-bits in its binary representation. If only a single bit is 1 a vertical line runs through the centre and ends in that bit's corner; otherwise it relies on the order of the positions of the 1-bits. When there are exactly two 1-bits, the line passes round the centre. The forms are rounded when there are less than three 1-bits, and use sharp corners when three or four of the bits are 1.]]The '''Bibi-binary''' system for numeric notation (in French '''système Bibi-binaire''', or abbreviated "'''système Bibi'''") was first described in 1968<ref>Brevet d'invention n° 1.569.028, ''Procédé de codification de l'information'', Robert Jean Lapointe, demandé le 28 mars 1968, délivré le 21 avril 1969. [http://bases-brevets.inpi.fr/fr/document/FR1569028/publications.html Downloaded] from [[Institut national de la propriété industrielle|INPI]].</ref> by singer/mathematician [[Boby Lapointe|Robert "Boby" Lapointe]] (1922-1972), based on the concept of [[hexadecimal]] notation. At the time, it attracted the attention of [[André Lichnerowicz]], then engaged in studies at the [[University of Lyon]]. It found some use in a variety of unforeseen applications: stochastic poetry, stochastic art, colour classification, aleatory music, architectural symbolism, etc.{{ref?|date=October 2016}}
The notational system directly and logically encodes the binary representations of the digits in a hexadecimal (base sixteen) number. In place of the arabic numerals 0-9 and letters A-F currently used in writing hexadecimal numbers, it presents sixteen newly-devised symbols (thus evading any risk of confusion with the decimal system). The graphical and phonetic conception of these symbols is meant to render the use of the Bibi-binary "language" simple and fast.
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== Why ''Bibi'' ==
The central observation driving this system is that sixteen can be written as 2 to the power of 2, to the power of 2. As we use the term [[binary]] for numbers written in base two, Lapointe reasoned that one could also say "bi-binary" for base four, and thus "bibi-binary" for base 16. Its name may also be a pun,{{ref?|date=October 2016}} as the word ''bibi'' in French is slang for "me" or "myself"; various forms of word play were at the centre of Lapointe's artistic œuvre.
== Pronunciation ==
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== Negative numbers ==
Contrary to the numeric conventions used in modern computers, the bibi-binary system represents negative numbers using [[one's complement]],{{ref?|date=October 2016}} rather than [[two's complement]]. Thus:
* +7 is written 0 0111
* −7 is written 1 1000
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