Gray code
Gray code A binary (n, n) block code having the following properties:
(a) there are 2^{n} codewords, each of length n bits;
(b) successive codewords differ by the complementation of a single bit, i.e. the Hamming distance between them is unity.
A Gray code can be conveniently represented by its transition sequence, i.e. the ordered list of bit positions that change when moving from one codeword to the next. The Goodde Bruijn graph of a Gray code forms a Hamiltonian cycle. Gray codes are used in encoding the positions of shafts, wheels, etc., in order to avoid the problems that would arise when several digits were supposed to change at the same time.
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binary notation
binary notation See binary system.
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"binary notation." A Dictionary of Computing. . Encyclopedia.com. 19 Aug. 2017 <http://www.encyclopedia.com>.
"binary notation." A Dictionary of Computing. . Encyclopedia.com. (August 19, 2017). http://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/binarynotation
"binary notation." A Dictionary of Computing. . Retrieved August 19, 2017 from Encyclopedia.com: http://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/binarynotation