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» Signed Binary Representations Revisited
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TC
2011
15 years 1 months ago
Performing Arithmetic Operations on Round-to-Nearest Representations
—During any composite computation, there is a constant need for rounding intermediate results before they can participate in further processing. Recently, a class of number repre...
Peter Kornerup, Jean-Michel Muller, Adrien Panhale...
ARITH
2009
IEEE
16 years 1 months ago
Fully Redundant Decimal Arithmetic
Hardware implementation of all the basic radix-10 arithmetic operations is evolving as a new trend in the design and implementation of general purpose digital processors. Redundan...
Saeid Gorgin, Ghassem Jaberipur
UC
2009
Springer
16 years 1 months ago
Abstract Geometrical Computation and Computable Analysis
Geometrical Computation and Computable Analysis J´erˆome Durand-Lose⋆ Laboratoire d’Informatique Fondamentale d’Orl´eans, Universit´e d’Orl´eans, B.P. 6759, F-45067 OR...
Jérôme Durand-Lose
EUROCRYPT
1999
Springer
15 years 10 months ago
An Analysis of Exponentiation Based on Formal Languages
A recoding rule for exponentiation is a method for reducing the cost of the exponentiation ae by reducing the number of required multiplications. If w(e) is the (hamming) weight of...
Luke O'Connor
PDPTA
2003
15 years 7 months ago
Quaternary Arithmetic Logic Unit on a Programmable Logic Device
Common binary arithmetic operations such as addition/subtraction and multiplication suffer from O(n) carry propagation delay where n is the number of digits. Carry lookahead helps...
Songpol Ongwattanakul, Phaisit Chewputtanagul, Dav...