Parallel-sequential adder-subtractor with the highest digits forward on neurons

2021 ◽  
Author(s):  
S.S. Shevelev
Keyword(s):  
Computer System ◽  
Control Unit ◽  
Arithmetic Operations ◽  
Mathematical Functions ◽  
Simple Arithmetic ◽  
Addition And Subtraction

The article deals with the development of a parallel-sequential adder-subtractor that performs arithmetic operations of addition and subtraction of binary numbers in the format with a fixed comma with the highest digits forward. The result of performing arithmetic operations is the sum and difference of binary numbers in the direct code of eight digits. The sum and difference of numbers is calculated on neuropositive elements, the transfer to the highest digits when summing and the loan from the highest digits when subtracting is determined by the majority elements. The algorithm for adding numbers in direct codes allows you to get the result in direct code. The signed digits of numbers determine which operation should be performed on numbers using the sum modulo two operation. If the characters are the same, the result will be zero. Otherwise, the result will be one. After that, the addition or subtraction operation is selected. Summation is performed if the numbers have the same signs, the result is assigned the sign of the first number. Subtraction is performed if the numbers have different signs, the result is assigned the sign of a larger modulo number. The adder-subtracter senior digits forward on neurons contains: block input, block comparatii, the block parallel-serial addersubtracter, the unit registers a larger number, the unit of determining the transfer and loan, a unit registers a smaller number of unit registers a result, the control unit, majority, threshold and neural elements. The device can be used as an arithmetic co-processor in a computer system. It significantly speeds up calculations of both simple arithmetic operations and results of various mathematical functions.

scholarly journals Design, Implementation & Performance of Vedic Multiplier Based on Look Ahead Carry Adder for Different Bit Lengths

2022 ◽  
Vol 10 (1) ◽  
pp. 24-30
Author(s):  
Vaishali Sharma
Keyword(s):  
Execution Time ◽  
Processing Time ◽  
Arithmetic Operations ◽  
Simple Arithmetic ◽  
Logic Operation ◽  
Look Ahead ◽  
Vedic Multiplier ◽  
Overall Performance ◽  
Addition And Subtraction

Abstract: This paper proposed the layout of Vedic Multiplier based totally on Urdhva Trigbhyam approach of multiplication. It is most effective Vedic sutras for multiplication. Urdhva triyagbhyam is a vertical and crosswise approach to discover product of two numbers. Multiplication is an essential quintessential feature in arithmetic logic operation. Computational overall performance of a DSP device is limited via its multiplication overall performance and since, multiplication dominates the execution time of most DSP algorithms. Multiplication is one of the simple arithmetic operations and it requires extensively extra hardware assets and processing time than addition and subtraction. Our work is to compare different bit Vedic multiplier structure using carry look ahead adder technique. Keywords: Carry Look Ahead Adder, Urdhva Trigbhyam, DSP algorithms, Vedic Multiplier

scholarly journals Step Pyramid Distribution for Prime Numbers

2022 ◽  
Vol 14 (1) ◽  
pp. 55
Author(s):  
Shaimaa said soltan
Keyword(s):  
Number System ◽  
Prime Numbers ◽  
Classification Algorithm ◽  
Algorithm Complexity ◽  
Arithmetic Operations ◽  
Simple Arithmetic ◽  
Simpler Algorithm

In this document, we will present a new way to visualize the distribution of Prime Numbers in the number system to spot Prime numbers in a subset of numbers using a simpler algorithm. Then we will look throw a classification algorithm to check if a number is prime using only 7 simple arithmetic operations with an algorithm complexity less than or equal to O (7) operations for any number.

scholarly journals Parsing Algebraic Word Problems into Equations

2015 ◽  
Vol 3 ◽  
pp. 585-597 ◽  
Author(s):  
Rik Koncel-Kedziorski ◽  
Hannaneh Hajishirzi ◽  
Ashish Sabharwal ◽  
Oren Etzioni ◽  
Siena Dumas Ang
Keyword(s):  
Linear Programming ◽  
Integer Linear Programming ◽  
Word Problems ◽  
Single Equation ◽  
Manual Annotation ◽  
Arithmetic Operations ◽  
Discriminative Models ◽  
Small Set ◽  
Addition And Subtraction

This paper formalizes the problem of solving multi-sentence algebraic word problems as that of generating and scoring equation trees. We use integer linear programming to generate equation trees and score their likelihood by learning local and global discriminative models. These models are trained on a small set of word problems and their answers, without any manual annotation, in order to choose the equation that best matches the problem text. We refer to the overall system as Alges.We compare Alges with previous work and show that it covers the full gamut of arithmetic operations whereas Hosseini et al. (2014) only handle addition and subtraction. In addition, Alges overcomes the brittleness of the Kushman et al. (2014) approach on single-equation problems, yielding a 15% to 50% reduction in error.

Performing Balanced Ternary Logic and Arithmetic Operations with Spiking Neural P Systems with Anti-Spikes

2012 ◽  
Vol 505 ◽  
pp. 378-385 ◽  
Author(s):  
Xian Wu Peng ◽  
Xiao Ping Fan ◽  
Jian Xun Liu
Keyword(s):  
Logic Gates ◽  
P Systems ◽  
P System ◽  
Ternary Logic ◽  
Arithmetic Operations ◽  
Spiking Neural P Systems ◽  
Addition And Subtraction ◽  
Distributed And Parallel Computing ◽  
Computing Models ◽  
Natural Way

Spiking neural P systems are a class of distributed and parallel computing models inspired by P systems and spiking neural networks.Spiking neural P system with anti-spikes can encode the balanced ternary three digits in a natural way using three states called anti-spikes, no-input and spikes. In this paper we use this variant of SN P system to simulate universal balanced ternary logic gates including AND,OR and NOT gate and to perform some basic balanced ternary arithmetic operations like addition and subtraction on balanced ternary integers. This paper provides an applicational answer to an open problem formulated by L.Pan and Gh. Păun.

scholarly journals Quantum arithmetic operations based on quantum fourier transform on signed integers

2020 ◽  
Vol 18 (06) ◽  
pp. 2050035
Author(s):  
Engin Şahin
Keyword(s):  
Fourier Transform ◽  
Quantum Circuits ◽  
Quantum Computers ◽  
Quantum Fourier Transform ◽  
Arithmetic Operations ◽  
Absolute Value ◽  
Addition And Subtraction ◽  
Quantum Arithmetic

The quantum Fourier transform (QFT) brings efficiency in many respects, especially usage of resource, for most operations on quantum computers. In this study, the existing QFT-based and non-QFT-based quantum arithmetic operations are examined. The capabilities of QFT-based addition and multiplication are improved with some modifications. The proposed operations are compared with the nearest quantum arithmetic operations. Furthermore, novel QFT-based subtraction, division and exponentiation operations are presented. The proposed arithmetic operations can perform nonmodular operations on all signed numbers without any limitation by using less resources. In addition, novel quantum circuits of two’s complement, absolute value and comparison operations are also presented by using the proposed QFT-based addition and subtraction operations.

scholarly journals Optimalisasi mutu lulusan dengan pembekalan keterampilan berhitung model MARS (matematika dan aritmatika sederhana)

2019 ◽  
Vol 15 (1) ◽  
pp. 44-52
Author(s):  
Intan Sari Rufiana ◽  
Wahyudi Wahyudi ◽  
Dwi Avita Nurhidayah
Keyword(s):  
Mathematics Education ◽  
Community Service ◽  
Mathematics Teachers ◽  
Skills Training ◽  
Service Program ◽  
Simple Arithmetic ◽  
Study Program ◽  
Tertiary Institutions ◽  
Education Study ◽  
Addition And Subtraction

[Bahasa]: Tujuan kegiatan pengabdian kepada masyarakat ini (PKM) adalah memberikan keterampilan terkait dengan kemampuan aritmetika sederhana pada mahasiswa Program Studi Pendidikan Matematika Universitas Muhammadiyah Ponorogo khususnya pada Operasi Aljabar (Penjumlahan dan Pengurangan). Keterampilan ini termasuk di luar kompetensi utama yang mendukung keilmuan. Dengan adanya kegiatan ini diharapkan dalam implementasinya, mahasiswa mampu bersaing dengan lulusan dari Perguruan Tinggi lain. Kegiatan ini dilaksanakan untuk (1) mempersiapkan dan membekali para calon pendidik khususnya mahasiswa program studi matematika Fakultas Keguruan dan Ilmu Pendidikan Universitas Muhammadiyah Ponorogo Semester VI dan Semester VIII dalam hal berhitung cepat, (2) memberikan motivasi pada mahasiswa untuk memiliki keterampilan lain yang mendukung keilmuan. Kegiatan ini dilaksanakan melalui kegiatan pelatihan keterampilan berhitung dengan menggunakan jarimatika. Dapat disimpulkan bahwa kegiatan pelatihan ini dapat membangkitkan motivasi dan membekali mahasiswa dengan keterampilan lain yang mendukung keilmuannya. Dari 30 mahasiswa yang mengikuti kegiatan PKM, sebanyak 50% berpendapat bahwa model berhitung ini sangat mudah diterapkan, 30% menyatakan mudah diterapkan, dan sisanya menyatakan cukup mudah diterapkan. Selain itu, 53% dari 30 peserta sangat paham terhadap konsep berhitung menggunakan jarimatika, 27% dari 30 peserta menyatakan paham, 17% menyatakan cukup paham dan 3% menyatakan sulit. Kata kunci: optimalisasi keterampilan, berhitung matematika, jarimatika [English]: The purpose of this community service program is to provide students with simple arithmetic skills in the Mathematics Education Study Program at Universitas Muhammadiyah Ponorogo, especially in Algebra Operations (addition and subtraction) which include as the supporting competencies. This program is expected to prepare students for competing with graduates from other tertiary institutions. It was carried out to (1) prepare and equip prospective mathematics teachers in terms of fast counting, (2) provide motivation for students to have other skills that support their main competences. The program was in the form of numeracy skills training using Jarimatika. Of the 30 students who took part; 50% of the students agreed that the numeracy model is very easy to implement, 30% said it was easy to apply, and the rest stated it was quite easy to apply. In addition, 53% of the 30 participants understood the concept of arithmetic using Jarimatika, 27% expressed understanding, 17% stated that they understood well, and 3% stated that it was difficult. The program can arouse motivation and equip students with additional skills that can support their knowledge. Keywords: optimization of skills; math counting; jarimatika

scholarly journals The differential relationship between finger gnosis, and addition and subtraction: An fMRI study

2018 ◽  
Vol 3 (3) ◽  
pp. 694-715 ◽  
Author(s):  
Firat Soylu ◽  
David Raymond ◽  
Arianna Gutierrez ◽  
Sharlene D. Newman
Keyword(s):  
Numerical Cognition ◽  
Third Graders ◽  
Arithmetic Operations ◽  
Fmri Study ◽  
Left And Right ◽  
Addition And Subtraction ◽  
Fact Retrieval ◽  
The Impact ◽  
The Relationship ◽  
Differential Relationship

The impact of fingers on numerical cognition has received a great deal of attention recently. One sub-set of these studies focus on the relation between finger gnosis (also called finger sense or finger gnosia), the ability to identify and individuate fingers, and mathematical development. Studies in this subdomain have reported mixed findings so far. While some studies reported that finger gnosis correlates with or predicts mathematics abilities in younger children, others failed to replicate these results. The current study explores the relationship between finger gnosis and two arithmetic operations—addition and subtraction. Twenty-four second to third graders participated in this fMRI study. Finger sense scores were negatively correlated with brain activation measured during both addition and subtraction. Three clusters, in the left fusiform, and left and right precuneus were found to negatively correlate with finger gnosis both during addition and subtraction. Activation in a cluster in the left inferior parietal lobule (IPL) was found to negatively correlate with finger gnosis only for addition, even though this cluster was active both during addition and subtraction. These results suggest that the arithmetic fact retrieval may be linked to finger gnosis at the neural level, both for addition and subtraction, even when behavioral correlations are not observed. However, the nature of this link may be different for addition compared to subtraction, given that left IPL activation correlated with finger gnosis only for addition. Together the results reported appear to support the hypothesis that fingers provide a scaffold for arithmetic competency for both arithmetic operations.

scholarly journals Not toeing the number line for simple arithmetic: Two large-n conceptual replications of Mathieu et al. (Cognition, 2016, Experiment 1)

2021 ◽  
Vol 7 (3) ◽  
pp. 248-258 ◽  
Author(s):  
Jamie I. D. Campbell ◽  
Yalin Chen ◽  
Maham Azhar
Keyword(s):  
Number Line ◽  
Operation Condition ◽  
Single Digit ◽  
Simple Arithmetic ◽  
Position Effects ◽  
Large N ◽  
Addition And Subtraction ◽  
Mixed Operation ◽  
The Right ◽  
The University

We conducted two conceptual replications of Experiment 1 in Mathieu, Gourjon, Couderc, Thevenot, and Prado (2016, https://doi.org/10.1016/j.cognition.2015.10.002). They tested a sample of 34 French adults on mixed-operation blocks of single-digit addition (4 + 3) and subtraction (4 – 3) with the three problem elements (O1, +/-, O2) presented sequentially. Addition was 34 ms faster if O2 appeared 300 ms after the operation sign and displaced 5° to the right of central fixation, whereas subtraction was 19 ms faster when O2 was displaced to the left. Replication Experiment 1 (n = 74 recruited at the University of Saskatchewan) used the same non-zero addition and subtraction problems and trial event sequence as Mathieu et al., but participants completed blocks of pure addition and pure subtraction followed by the mixed-operation condition used by Mathieu et al. Addition RT showed a 32 ms advantage with O2 shifted rightward relative to leftward but only in mixed-operation blocks. There was no effect of O2 position on subtraction RT. Experiment 2 (n = 74) was the same except mixed-operation blocks occurred before the pure-operation blocks. There was an overall 13 ms advantage with O2 shifted right relative to leftward but no interaction with operation or with mixture (i.e., pure vs mixed operations). Nonetheless, the rightward RT advantage was statistically significant for both addition and subtraction only in mixed-operation blocks. Taken together with the robust effects of mixture in Experiment 1, the results suggest that O2 position effects in this paradigm might reflect task specific demands associated with mixed operations.

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