Application of modular computing technology to number normalization in floating point arithmetic

• Autorzy: Selianinau M.

Identyfikatory

DOI

dx.doi.org/10.16926/m.2015.20.07

• Języki publikacji: EN

Abstrakty

EN

In the present paper, we deal with the methodology of mantissa normalization on the basis of parallel algorithmic structures of modular arithmetic. The use of interval-modular form and basic integral characteristics of modular code is fundamental for construction of floating-point modular computing arithmetic. The proposed method of mantissa normalization in the minimal redundant modular number system is based on the parallel algorithm of multiplication by constant with overflow check.

Słowa kluczowe

EN

floating point arithmetic; number normalization; modular computing technology

PL

arytmetyka zmiennoprzecinkowa; numerowanie normalizacji; modułowa technologia obliczeniowa

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2015
• Tom: Vol. 20
• Strony: 57--67
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Selianinau M.

• Jan Długosz University, Institute of Technical Education and Safety, 42-200 Częstochowa, Al. Armii Krajowej 13/15, Poland

Bibliografia

• [1] A.A. Kolyada, I.T. Pak, Modular Structures of Pipeline Digital Information Processing. University Press, Minsk, 1992 (in Russian).
• [2] A.F. Chernyavsky, V.V. Danilevich, A.A. Kolyada, M.Y. Selyaninov, High-speed Methods and Systems of Digital Information Processing. Belarusian State University Press, Minsk, 1996 (in Russian).
• [3] P.V. Ananda Mohan, Residue Number Systems: Algorithms and Architectures. Kluwer Academic Publishers, 2002.
• [4] A. Omondi, B. Premkumar, Residue Number Systems: Theory and Implementation. Imperial College Press, London, 2007.
• [5] M. Selyaninov, Modular technique of parallel information processing. Scientific Issues of Jan Długosz University of Czestochowa, Mathematics XIII (2008), 43-52.
• [6] M. Selyaninov, Construction of modular number system with arbitrary finite ranges. Scientific Issues of Jan Długosz University of Czestochowa, Mathematics XIV (2009), 105-115.
• [7] I.M. Vinogradov, Fundamentals of Number Theory. Nauka, Moscow, 1981.
• [8] A.A. Kolyada, M.Y. Selyaninov, On the formation of the integral characteristics of the codes of residue number systems with the symmetrical range. Cybernetics 4 (1986), 20-24 (in Russian).