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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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Conceptual knowledge of decimal arithmetic [PDF]
Journal of Educational Psychology, 2017 In 2 studies (Ns = 55 and 54), the authors examined a basic form of conceptual understanding of rational number arithmetic, the direction of effect of decimal arithmetic operations, at a level of detail useful for informing instruction.
Lortie-Forgues, Hugues +1 more
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Hardware–Software Co-Design for Decimal Multiplication
Computers, 2021 Decimal arithmetic using software is slow for very large-scale applications. On the other hand, when hardware is employed, extra area overhead is required. A balanced strategy can overcome both issues. Our proposed methods are compliant with the IEEE 754-
Riaz-ul-haque Mian +2 more
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A kinematically Bifurcated Metamaterial for Integrated Logic Operation and Computing [PDF]
Advanced ScienceMechanical computing metamaterials, which utilize transitions among discrete configurations to process information autonomously when perceiving external stimuli, are important in the development of intelligent mechanical systems.
Kaili Xi +6 more
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Binary Decimal Arithmetic [PDF]
Nature, 1979 In computerised decimal arithmetic the numbers are usually represented by binary coded figures 0–9. Decimal arithmetic can therefore, to a certain extent, be considered in terms of binary arithmetic with some complications.
Mario P. Vestias, Horacio C. Neto
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PyChelator: a Python-based Colab and web application for metal chelator calculations [PDF]
BMC BioinformaticsBackground Metal ions play vital roles in regulating various biological systems, making it essential to control the concentration of free metal ions in solutions during experimental procedures.
Emrulla Spahiu +2 more
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New Insight on the Application of Binary Coded Chiliad (BCC) Encoding for Decimal Arithmetic [PDF]
AUT Journal of Electrical Engineering, 2021 The densely packed decimal (DPD) encoding for secondary and primary storage of three binary coded decimal (BCD) digits is included in the IEEE 754-2019 standard for decimal floating-point arithmetic.
Morteza Dorrigiv
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Datatype defining rewrite systems for naturals and integers [PDF]
Logical Methods in Computer Science, 2021 A datatype defining rewrite system (DDRS) is an algebraic (equational) specification intended to specify a datatype. When interpreting the equations from left-to-right, a DDRS defines a term rewriting system that must be ground-complete.
Jan A. Bergstra, Alban Ponse
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Decimal Multiplication in FPGA with a Novel Decimal Adder/Subtractor
Algorithms, 2021 Financial and commercial data are mostly represented in decimal format. To avoid errors introduced when converting some decimal fractions to binary, these data are processed with decimal arithmetic.
Mário P. Véstias, Horácio C. Neto
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Synthesis Optimization of Arithmetic Circuits on Coarse-Grain Reconfigurable Architecture [PDF]
مجله مدل سازی در مهندسی, 2022 The increasing capabilities of integrated circuits and the complexity of applications have led hardware design methods and tools to higher levels of abstraction. High-level synthesis is one of the key steps in increasing the level of abstraction, and the
Samaneh Emami +2 more
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