Reflected Number Systems
نویسنده
چکیده
This paper introduces the class of reflected number systems. Members of this class have the adjacency property, i.e. representations for consecutive numbers differ in only one digit and the magnitude of this difference is one. It shows that every number system based on a positional weighting scheme has a reflected analogue. It presents procedures to convert a number system to its reflected analogue and vice versa. A conventional number system and its reflected analogue share some properties. Hence the conversion procedure can be used to design reflected number systems that are likely to have desired properties. This paper presents two examples.
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