Skew binary number system must be the first non-zero least significant digit. In this case 15 is written canonically as 1000. Skew binary representations of the numbers from 0 to 15 are shown in following table: The advantage of skew binary is that each increment operation can be done with at most one carry operation. This exploits the fact that formula_3. Incrementing a skew binary number is done by setting the only two to a zero and incrementing the next digit from zero to one or one to two. When numbers are represented using a form of run-length encoding as linked lists of the
Binary number is either doubled or has the first number added back into it; the order in which these steps are to be performed is given by the binary representation of the second number. This method can be seen in use, for instance, in the Rhind Mathematical Papyrus, which dates to around 1650 BC. The I Ching dates from the 9th century BC in China. The binary notation in the "I Ching" is used to interpret its quaternary divination technique. It is based on taoistic duality of yin and yang. eight trigrams (Bagua) and a set of 64 hexagrams ("sixty-four" gua), analogous