TheBibi-binary system for numeric notation (French:système Bibi-binaire, or abbreviated "système Bibi") is ahexadecimal numeral system first described in 1968[1] by singer/mathematicianRobert "Boby" Lapointe (1922–1972). At the time, it attracted the attention ofAndré Lichnerowicz, then engaged in studies at theUniversity of Lyon.
The notational system directly and logically encodes the binary representations of the digits in a hexadecimal (base sixteen) numeral. In place of the Arabic numerals 0–9 and letters A–F currently used in writing hexadecimal numerals, 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.
The description of the language first appeared inLes Cerveaux non-humains ("Non-human brains"),[2][3] and the system can also be found inBoby Lapointe by Huguette Long Lapointe.[4]
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 termbinary 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, as the wordbibi in French is slang for "me" or "myself";[5] various forms of word play were at the centre of Lapointe's artistic œuvre.
In addition to unique graphical representations, Lapointe also devised a pronunciation for each of the sixteen digits. Using four consonants (HBKD) and four vowels (OAEI), one obtains sixteen combinations:
HO, HA, HE, HI, BO, BA, BE, BI, KO, KA, KE, KI, DO, DA, DE, DI.
To express any number, it suffices to enumerate the (hexadecimal) digits that make it up. For example: the number written as "2000" in decimal, which translates to "7D0" in conventionally-written hexadecimal, would in Bibi-binary be spoken aloud as "BIDAHO".
First academic publication of the Bibi-binary system. Pagination discovered September 2025.