Results 1 to 10 of about 322 (162)
Acta Numerica, 2023 Floating-point numbers have an intuitive meaning when it comes to physics-based numerical computations, and they have thus become the most common way of approximating real numbers in computers. The IEEE-754 Standard has played a large part in making floating-point arithmetic ubiquitous today, by specifying its semantics in a strict yet useful way as ...
Boldo, Sylvie +3 more
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Efficient Floating Point Arithmetic for Quantum Computers
IEEE Access, 2022 One of the major promises of quantum computing is the realization of SIMD (single instruction - multiple data) operations using the phenomenon of superposition.
Raphael Seidel +4 more
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Floating Point Optimization Using VHDL [PDF]
Engineering and Technology Journal, 2009 Due to inherent limitations of the fixed-point representation, it is sometimes desirable to perform arithmetic operations in the floating-point format.
Manal Hammadi Jassim
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Mathematics, 2021 The aim of this paper is to present a new method and the tool to validate the numerical results of the Volterra integral equation with discontinuous kernels in linear and non-linear forms obtained from the Adomian decomposition method.
Samad Noeiaghdam +4 more
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An Imprecise but Infinite Fall: The Machine Performance of Floating-Point Arithmetic
Proceedings, 2021 Floating-point arithmetic is a common computational method, used to represent large or infinite space in software, such as game engines. This paper explores floating-point arithmetic in the game engine Unity, as it renders an infinitely falling object ...
Kelsey Brod
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Multi‐precision binary multiplier architecture for multi‐precision floating‐point multiplication
IET Circuits, Devices and Systems, 2021 Arithmetic logic units (ALUs) are core components of processing devices that perform required arithmetic and logical operations such as multiplication, division, addition, subtraction, and squaring. The multiplication operation is frequently used in ALUs
Geetam Singh Tomar +2 more
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Exact Versus Inexact Decimal Floating-Point Numbers and Arithmetic
IEEE Access, 2023 The IEEE 754 standard does not distinguish between exact and inexact floating-point numbers. There is no bit or field in the binary encoding that indicates whether a floating-point number is exact or not.
Muhamed F. Mudawar
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Design and Implementation of Numerical Linear Algebra Algorithms on Fixed Point DSPs
EURASIP Journal on Advances in Signal Processing, 2007 Numerical linear algebra algorithms use the inherent elegance of matrix formulations and are usually implemented using C/C++ floating point representation.
Nguyen Ha Thai +2 more
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Implementation of a Fuel Estimation Algorithm Using Approximated Computing
Journal of Low Power Electronics and Applications, 2022 The rising concerns about global warming have motivated the international community to take remedial actions to lower greenhouse gas emissions. The transportation sector is believed to be one of the largest air polluters.
Imed Ben Dhaou
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Design and Implementation of POSIT Based Adder and Multiplier in Verilog HDL [PDF]
E3S Web of Conferences, 2023 Due to recent developments, the POSIT number system, winch has been planned as a successor for numbers that are expressed in IEEE floating-point, which are in the focus of advances in arithmetic.
Sanivarapu Rambabu +5 more
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