Number Encodings and Arithmetics over Multisets

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	Similar Articles Articles by Cosmin Bonchis Articles by Cornel Izbasa Articles by Gabriel Ciobanu

Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC'06)

Timisoara, Romania

September 26-September 29

ISBN: 0-7695-2740-X

	ASCII Text	x
	Cosmin Bonchis, Cornel Izbasa, Gabriel Ciobanu, "Number Encodings and Arithmetics over Multisets," Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on, pp. 354-364, Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC'06), 2006.

	BibTex	x
	@article{ 10.1109/SYNASC.2006.58, author = {Cosmin Bonchis and Cornel Izbasa and Gabriel Ciobanu}, title = {Number Encodings and Arithmetics over Multisets}, journal ={Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on}, volume = {0}, year = {2006}, isbn = {0-7695-2740-X}, pages = {354-364}, doi = {http://doi.ieeecomputersociety.org/10.1109/SYNASC.2006.58}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on TI - Number Encodings and Arithmetics over Multisets SN - 0-7695-2740-X SP354 EP364 A1 - Cosmin Bonchis, A1 - Cornel Izbasa, A1 - Gabriel Ciobanu, PY - 2006 KW - null VL - 0 JA - Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on ER -

Cosmin Bonchis, Research Institute "e-Austria" Timisoara, Romania

Cornel Izbasa, Research Institute "e-Austria" Timisoara, Romania

Gabriel Ciobanu, Romanian Academy, Institute of Computer Science, Romania

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SYNASC.2006.58

In this paper we revise some previously defined nonpositional number encodings using multisets and their associated arithmetic operations, describing a general encoding/ decoding algorithm that can map natural numbers to their multiset representations, and vice versa. We present the templates for the most compact encodings in base b for successor and predecessor operations.

Citation:

Cosmin Bonchis, Cornel Izbasa, Gabriel Ciobanu, "Number Encodings and Arithmetics over Multisets," synasc, pp.354-364, Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC'06), 2006

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