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Fast Signed-Digit Multi-operand decimal Adders

Circuits and Systems 2011年第3期2卷 225-236页

作者： Jeff Rebacz Erdal Oruklu Jafar Saniie 不详

decimal arithmetic is desirable for high precision requirements of many financial, industrial and scientific applications. Furthermore, hardware support for decimal arithmetic has gained momentum with IEEE 754-2008, which standardized decimal floating-point. This paper presents a new architecture for two operand and multi-operand signed-digit decimal addition. Signed-digit architectures are advantageous because there are no carry-propagate chains. The proposed signed-digit adder reduces the critical path delay by parallelizing the correction stage inherent to decimal addition. For performance evaluation, we synthesize and compare multiple unsigned and signed-digit multi-operand decimal adder architectures on 0.18μm CMOS VLSI technology. Synthesis results for 2, 4, 8, and 16 operands with 8 decimal digits provide critical data in determining each adder's performance and scalability.

关键词： Computer Arithmetic decimal Arithmetic Signed-Digit Multi-operand Adder BCD

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Search for Monic Irreducible Polynomials with decimal Equivalents of Polynomials over Galois Field GF(pq)

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Open Journal of Discrete Mathematics 2018年第1期8卷 21-33页

作者： Sankhanil Dey Ranjan Ghosh Institute of Radio Physics and Electronics University of Calcutta Kolkata India

Substitution boxes or S-boxes play a significant role in encryption and de-cryption of bit level plaintext and cipher-text respectively. Irreducible Poly-nomials (IPs) have been used to construct 4-bit or 8-bit substitution boxes in many cryptographic block ciphers. In Advance Encryption Standard, the ele-ments of 8-bit S-box have been obtained from the Multiplicative Inverse (MI) of elemental polynomials (EPs) of the 1st IP over Galois field GF(28) by adding an additive element. In this paper, a mathematical method and the algorithm of the said method with the discussion of the execution time of the algorithm, to obtain monic IPs over Galois field GF(pq) have been illustrated with example. The method is very similar to polynomial multiplication of two polynomials over Galois field GF(pq) but has a difference in execution. The decimal equivalents of polynomials have been used to identify Basic Polynomials (BPs), EPs, IPs and Reducible polynomials (RPs). The monic RPs have been determined by this method and have been cancelled out to produce monic IPs. The non-monic IPs have been obtained with multiplication of α where?α∈ GF(pq)?and assume values from 2 to (p −1) to monic IPs.

关键词： Finite Fields Galois Fields Irreducible Polynomials decimal Equivalents

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Identifying Brain Characteristics of Bright Students

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Journal of Intelligent Learning Systems and Applications 2018年第3期10卷 93-103页

作者： Ramla Ghali Hamdi Ben Abdessalem Claude Frasson Roger Nkambou Department of Computer Science Université du Québec à Montréal Montréal Canada Department of Computer Science and Operations Research Université de Montréal Montréal Canada

Gifted students have different ways of learning. They are characterized by a fitful level of attention and intuitive reasoning. In order to distinguish gifted students from normal students, we conducted an experiment with 17 pupils, willing participants in this study. We collected different types of data (gender, age, performance, initial average in math and EEG mental states) in a web platform called NetMath intending for the learning of mathematics. We selected ten tasks divided into three difficulty levels (easy, medium and hard). Participants were invited to respond to top-level exercises on the four basic operations in decimals. Our first results confirmed that the student’s performance has no relation with age. A younger 9-year-old student achieved a higher score than the group with an average of 68.18%. This student can be considered as a gifted one. The gifted students can be also characterized by a mean value of attention (around 60%). They also can be defined by slightly weaker values of their mental states of attention and workload in comparison with the weak pupils.

关键词： NetMath Platform Performance Workload Attention Relaxation decimal Numbers

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颅骨切除减压治疗恶性大脑中动脉梗死试验(decimal)

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国外医学（脑血管疾病分册） 2004年第4期12卷 281-281页

作者：曲东锋

试验状态:从2003年11月开始,已纳入18例患者。试验目的:评价偏侧颅骨切除减压和硬膜成形术在恶性大脑中动脉(MCA)区梗死患者中的作用。试验设计:多中心随机对照试验。

关键词：颅骨切除减压外科治疗恶性大脑动脉梗死试验 decimal 硬膜成形术

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