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单词 Parity
释义

Parity

The parity of a number is the sum of the bits in Binary representation (mod 2). The parities of the first fewintegers (starting with 0) are 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, ... (Sloane's A010060) summarized in the following table.

BinaryParityBinaryParity
1111110111
21011211000
31101311011
410011411101
510101511110
6110016100001
7111117100010
81000118100100
91001019100111
101010020101000


The constant generated by the sequence of parity digits is called the Thue-Morse Constant.

See also Binary, Thue-Morse Constant


References

Sloane, N. J. A. Sequence A010060in ``The On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html.


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