A siteswap is a sequence encountered in juggling in which each term is a positive integer, encoded in binary. The transition rule from one term to the next consists of changing some 0 to 1, subtracting 1, and then dividing by 2, with the constraint that the division by two must be exact. Therefore, if a term is even, the bit to be changed must be the units bit. In siteswaps, the number of 1-bits is a constant.
Each transition is characterized by the bit position of the toggled bit (denoted here by the numeral on top of the arrow). For example,
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The second term is given from the first as follows: 000111 with bit 5 flipped becomes 100111, or 39. Subtract 1 to obtain 38 and divide by two to obtain 19, which is 10011.
