Method for converting the binary representation of a number...

Details Method for converting the binary representation of a number... Method for converting the binary representation of a number...

2005-06-07

2005-06-07

Tokar, Michael (Department: 2819)

Coded data generation or conversion

Digital code to digital code converters

C341S051000

Reexamination Certificate

active

06903663

ABSTRACT:
A method for converting in a binary representation of a number based on a left-to-right processing of bits of the binary representation, to obtain a signed representation equivalent to the so-called Reitwiesner representation. The use of such a conversion method with left-to-right arithmetic processing improves hardware implementation of the method.

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Reitwiesner, G.W., “Binary Arithmetic”, 1960, Advances in Computers, Academic Press, New York, NY, US, pps. 231-313.
Koyama, K. et al,Speeding Up Elliptic Cryptosystems by Using a Signed Binary Window Method, Advances in Cryptology, Annual International Cryptology Conferences, Proceedings, Springer-Verlag, vol. 40, 1993, pps. 345-357, date unknown.
Chiang, A.C. L. et al, “Arithmetic Norms and Bounds of the Arithmetic AN Codes”, IEEE Transactions on Information Theory, US, IEEE Inc., New York, vol. IT-16, No. 4, Jul. 1970, pps. 470-476.
Goto, Munehiro, Nonbinary Cyclic AN Codes, Electron Commun JAP May 1973, vol. 56, No. 5, May 1973, pps. 31-37.
Chao-Liang, Chen et al, “A Simplified Signed Powers-of-Two Conversion for Multiplierless Adaptive Filters”, 1996 IEEE International Symposium on Circuits and Systsm, Circuits and Systems Connecting the World, ISCAS 98, vol. 2, 1996 New York, NY, USA, pps 364-367, date unknown.

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