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» Algorithms for Ordinal Arithmetic
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ECAL
1999
Springer
13 years 12 months ago
Arithmetic Operations on Self-Replicating Cellular Automata
In this paper, we present a possible implementation of arithmetic functions (notably, addition and multiplication) using self-replicating cellular automata. The operations are per...
Enrico Petraglio, Jean-Marc Henry, Gianluca Tempes...
ASPDAC
2007
ACM
122views Hardware» more  ASPDAC 2007»
13 years 11 months ago
A Novel Reconfigurable Low Power Distributed Arithmetic Architecture for Multimedia Applications
- The use of reconfigurable cores in system on chip (SoC) designs is increasingly becoming a trend. Such cores are being used for their flexibility, powerful functionality and low ...
Zhenyu Liu, Tughrul Arslan, Ahmet T. Erdogan
CASC
2010
Springer
153views Mathematics» more  CASC 2010»
13 years 4 months ago
Implementing Data Parallel Rational Multiple-Residue Arithmetic in Eden
Abstract. Residue systems present a well-known way to reduce computation cost for symbolic computation. However most residue systems are implemented for integers or polynomials. Th...
Oleg Lobachev, Rita Loogen
ARITH
2007
IEEE
13 years 11 months ago
A Software Implementation of the IEEE 754R Decimal Floating-Point Arithmetic Using the Binary Encoding Format
The IEEE Standard 754-1985 for Binary Floating-Point Arithmetic [1] was revised [2], and an important addition is the definition of decimal floating-point arithmetic. This is inte...
Marius Cornea, Cristina Anderson, John Harrison, P...
CAV
2008
Springer
170views Hardware» more  CAV 2008»
13 years 9 months ago
Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations
Abstract. The use of Craig interpolants has enabled the development of powerful hardware and software model checking techniques. Efficient algorithms are known for computing interp...
Himanshu Jain, Edmund M. Clarke, Orna Grumberg