On Classes of Positive, Negative, and Imaginary Radix Number Systems

I. Koren; Y. Maliniak

doi:10.1109/TC.1981.1675788

Publication
1981
Issue No. 5 - May
Abstract - On Classes of Positive, Negative, and Imaginary Radix Number Systems

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On Classes of Positive, Negative, and Imaginary Radix Number Systems

May 1981 (vol. 30 no. 5)

pp. 312-317

	ASCII Text	x
	I. Koren, Y. Maliniak, "On Classes of Positive, Negative, and Imaginary Radix Number Systems," IEEE Transactions on Computers, vol. 30, no. 5, pp. 312-317, May, 1981.

	BibTex	x
	@article{ 10.1109/TC.1981.1675788, author = {I. Koren and Y. Maliniak}, title = {On Classes of Positive, Negative, and Imaginary Radix Number Systems}, journal ={IEEE Transactions on Computers}, volume = {30}, number = {5}, issn = {0018-9340}, year = {1981}, pages = {312-317}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1981.1675788}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - JOUR JO - IEEE Transactions on Computers TI - On Classes of Positive, Negative, and Imaginary Radix Number Systems IS - 5 SN - 0018-9340 SP312 EP317 EPD - 312-317 A1 - I. Koren, A1 - Y. Maliniak, PY - 1981 KW - radix-complement KW - Arithmetic operations KW - frinte number representation systems KW - imaginary radix KW - negative radix KW - positive radix VL - 30 JA - IEEE Transactions on Computers ER -

I. Koren, Department of Electrical Engineering, University of California

Y. Maliniak

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TC.1981.1675788

A unified approach to a broad class of finite number representation systems is proposed. This class contains aDl positive and negative radix systems and other well-known number systems. In addition, it can be extended to include imaginary radix number systems. The proposed approach enables us to develop a single set of algoritims for arithmetic operations.

Index Terms:

radix-complement, Arithmetic operations, frinte number representation systems, imaginary radix, negative radix, positive radix

Citation:

I. Koren, Y. Maliniak, "On Classes of Positive, Negative, and Imaginary Radix Number Systems," IEEE Transactions on Computers, vol. 30, no. 5, pp. 312-317, May 1981, doi:10.1109/TC.1981.1675788

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