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» Signed Binary Representations Revisited
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TC
2011
12 years 11 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
13 years 11 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
13 years 11 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
13 years 9 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
13 years 6 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...