Binary number double the number to be converted, record if the result is at least 1, and then throw away the integer part. For example, formula_10, in binary, is: Thus the repeating decimal fraction 0... is equivalent to the repeating binary fraction 0... . Or for example, 0.1, in binary, is: This is also a repeating binary fraction 0.0... . It may come as a surprise that terminating decimal fractions can have repeating expansions in binary. It is for this reason that many are surprised to discover that 0.1 + ... + 0.1, (10 additions) differs from 1 in floating point arithmetic.
Bibi-binary and the sum of −7 and 7 would give "0 0000"; this "two's complement" system thus needs only a single representation for the number zero. Bibi-binary The Bibi-binary system for numeric notation (in French système Bibi-binaire, or abbreviated "système Bibi") is a hexadecimal numeral system first described in 1968 by singer/mathematician Robert "Boby" Lapointe (1922–1972). 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. The notational system directly and