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(Criou página com ''''Natural Codes as foundation in hierarchical labeling and extended hexadecimals for variable-length bit strings''' Peter Krauss^([1]), Thierry Jean1, Daniele R. Sampaio^([2]), José Damico^([3]), Everton Bortolini1,^([4]),  Rui Pedro Julião^([5]), Alexander Zipf ^([6]), Alan C. Alves^([7]) ABSTRACT We propose a positional notation for bit strings (binary sequences) with an arbitrary amount of bits, which preserves hierarchy and is compatible with the ordinary hex...')
 
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SUMMARY
[[Arquivo:KraEtAll2019-summary.png.png|miniaturadaimagem]]
 
Introduction        2
 
Indexing hierarchical items with bit strings        3
 
The hidden bit implementation strategy        4
 
Empty and inverse elements        5
 
Problem on non-binary positional notations        5
 
Testing a naive solution and requirements to the optimal        7
 
Objectives        7
 
License        7
 
Formal definition of Natural Codes        8
 
Hierarchy as nested set collection        9
 
Hidden bit representation        9
 
Bit string and base2h notation        10
 
Lexicographic and numeric orderings        10
 
Positional representation of Natural Codes        11
 
Bit string or base2h        11
 
Base4h        12
 
Base16h        13
 
Base8h        13
 
The Natural Code algebra        14
 
Base-h order and collation        14
 
Base 32rh and others        15
 
Algorithms        16
 
Bit strings into integers        16
 
Signed implementation        18
 
Int8 implementation        18
 
Comparing Natural Codes        18
 
Trucating        18
 
Base conversion        19
 
Tested implementations        19
 
Terminology        20
 
References        21
 
Appendix - supplementary material        21


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