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Required scientific floating point arithmetic
1978 IEEE 4th Symposium onomputer Arithmetic (ARITH), 1978Previous papers in computer arithmetic have shown that correct rounded floating point with good arithmetic properties can be attained using guard digits and careful algorithms on the floating point fractions. This paper combines that body of knowledge with proposed exponent forms that are closed with respect to inversion and detection and recovery of ...
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Unum: Adaptive Floating-Point Arithmetic
2016 Euromicro Conference on Digital System Design (DSD), 2016Usually, arithmetic units represent numeric data-types employing fixed-length representations. For instance, hardware representations of real numbers usually employ fixed-length formats defined by the IEEE Standard 754 (32-bit single-precision, 64-bit double-precision, , floating-point numbers).
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Axiomatizations of floating point arithmetics
1985 IEEE 7th Symposium on Computer Arithmetic (ARITH), 1985We present a universal scheme for axiomatizing floating point ariththmetic. The schema can be used to axiomatize any floating point arithmetic. It consists of a labeled graph with vertices describing some arithmetical properties and edges containing appropriate axioms. The language of floating point arithmetic is developed gradually in this scheme. The
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Floating-point recurring rational arithmetic system
1983 IEEE 6th Symposium on Computer Arithmetic (ARITH), 1983Major computer arithmetic systems are based on the concept of realizing only terminate rationals in positional notation. This paper proposes a new arithmetic scheme of indicating periodicity in the radix representation of a mantissa to realize recurring rationals as well as terminate rationals.
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Rational Arithmetic in Floating-Point.
1986Abstract : Calculating M/N := A/B + or - C/D in lowest terms, given the integers A, B, C and D, is a task in Elementary schools; and it is an easy exercise in Computer Programming too provided the given integers must be less than half as wide as the widest integers that can be handled conveniently by the computer's hardware or by its programming ...
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The Arithmetic Optimization Algorithm
Computer Methods in Applied Mechanics and Engineering, 2021Laith Mohammad Abualigah +2 more
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MXene Ti3C2 memristor for neuromorphic behavior and decimal arithmetic operation applications
Nano Energy, 2021Jingsheng Chen, Xiaobing Yan
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A distributed particle-PHD filter using arithmetic-average fusion of Gaussian mixture parameters
Information Fusion, 2021Tian-cheng Li, Franz Hlawatsch
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