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Related papers: Comparing quaternary and binary multipliers

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The implementation of a quaternary 1-digit adder composed of a 2-bit binary adder, quaternary to binary decoders and binary to quaternary encoders is compared with several recent implementations of quaternary adders. This simple…

Hardware Architecture · Computer Science 2020-05-06 Daniel Etiemble

While many papers have proposed implementations of ternary adders and ternary multipliers, no comparisons have generally been done with the corresponding binary ones. We compare the implementations of binary and ternary adders and…

Hardware Architecture · Computer Science 2019-08-21 Daniel Etiemble

We compare N*N quaternary digit and 2N*2N bit CNTFET multipliers in terms of Worst case delay, Chip area, Power and Power Delay Product (PDP) for N=1, N=2 and N=4. Both multipliers use Wallace reduction trees. HSpice simulations with 32-nm…

Emerging Technologies · Computer Science 2022-06-08 Daniel Etiemble

Approximate multipliers are widely being advocated for energy-efficient computing in applications that exhibit an inherent tolerance to inaccuracy. However, the inclusion of accuracy as a key design parameter, besides the performance, area…

Emerging Technologies · Computer Science 2018-03-20 Mahmoud Masadeh , Osman Hasan , Sofiene Tahar

The MUX implementation of ternary half adders and full adders using predecessor and successor functions lead to the most efficient efficient implementation using the smallest transistor count. These designs are compared with the binary…

Hardware Architecture · Computer Science 2021-01-06 Daniel Etiemble

Multiplier circuits play an important role in reversible computation, which is helpful in diverse areas such as low power CMOS design, optical computing, DNA computing and bioinformatics. Here we propose a new reversible multiplier circuit…

Quantum Physics · Physics 2009-07-21 Anindita Banerjee , Anirban Pathak

Many papers have presented multi-valued circuits in various technologies as a solution to reduce or solve interconnection issues in binary circuits. This assumption is discussed. While 4-valued signaling could divide by two the number of…

Hardware Architecture · Computer Science 2020-12-03 Daniel Etiemble

In this work faster unsigned multiplication has been achieved by using a combination of High Performance Multiplication [HPM] column reduction technique and implementing a N-bit multiplier using 4 N/2-bit multipliers (recursive…

Hardware Architecture · Computer Science 2011-10-20 V. Sreedeep , B. Ramkumar , Harish M Kittur

In this work, a rationalized algorithm for calculating the quotient of two quaternions is presented which reduces the number of underlying real multiplications. Hardware for fast multiplication is much more expensive than hardware for fast…

Signal Processing · Electrical Eng. & Systems 2020-09-02 Aleksandr Cariow , Galina Cariowa

A demonstration that e=2.718 rounded to 3 is the best radix for computation is disproved. The MOSFET-like CNTFET technology is used to compare inverters, Nand, adders, multipliers, D Flip-Flops and SRAM cells. The transistor count ratio…

Hardware Architecture · Computer Science 2019-08-20 Daniel Etiemble

In this paper, we offer and discuss three efficient structural solutions for the hardware-oriented implementation of discrete quaternion Fourier transform basic operations with reduced implementation complexities. The first solution: a…

Data Structures and Algorithms · Computer Science 2017-03-21 Aleksandr Cariow , Galina Cariowa , Marina Chicheva

We present a novel set of reversible modular multipliers applicable to quantum computing, derived from three classical techniques: 1) traditional integer division, 2) Montgomery residue arithmetic, and 3) Barrett reduction. Each multiplier…

Quantum Physics · Physics 2018-01-04 Rich Rines , Isaac Chuang

Approximate computing is a nascent energy-efficient computing paradigm suitable for error-tolerant applications. However, the value of approximation error depends on the applied inputs where individual output error may reach intolerable…

Emerging Technologies · Computer Science 2019-08-06 Mahmoud Masadeh , Osman Hasan , Sofiene Tahar

Today every circuit has to face the power consumption issue for both portable device aiming at large battery life and high end circuits avoiding cooling packages and reliability issues that are too complex. It is generally accepted that…

Hardware Architecture · Computer Science 2010-07-15 C. N. Marimuthu , P. Thangaraj , Aswathy Ramesan

The paper presents a systematic study and implementation of a reconfigurable combinatorial multi-operand adder for use in Deep Learning systems. The size of carry changes with the number of operands and hence a reliable algorithm to…

Hardware Architecture · Computer Science 2020-08-10 Shilpa Mayannavar , Uday Wali

In this paper, we mainly study quaternary linear codes and their binary subfield codes. First we obtain a general explicit relationship between quaternary linear codes and their binary subfield codes in terms of generator matrices and…

Information Theory · Computer Science 2022-01-03 Yansheng Wu , Chengju Li , Fu Xiao

This paper proposes four quadrant analog multiplier using CMOS-memristor circuit. Currently, there are plenty of analog multipliers using resistors and CMOS transistors. They can attain perfect multiplication but have several disadvantages…

Emerging Technologies · Computer Science 2019-08-28 Ileskhan Kalysh , Olga Krestinskaya , Alex Pappachen James

We show that the bilinear complexity of multiplication in a non-split quaternion algebra over a field of characteristic distinct from 2 is 8. This question is motivated by the problem of characterising algebras of almost minimal rank…

Computational Complexity · Computer Science 2012-08-29 Vladimir Lysikov

The additive codes may have better parameters than linear codes. However, it is still a challenging problem to efficiently construct additive codes that outperform linear codes, especially those with greater distances than linear codes of…

Information Theory · Computer Science 2023-06-22 Chaofeng Guan , Ruihu Li , Yiting Liu , Zhi Ma

Multiplication is an important arithmetic operation that is frequently encountered in microprocessing and digital signal processing applications, and multiplication is physically realized using a multiplier. This paper discusses the…

Hardware Architecture · Computer Science 2019-05-17 P Balasubramanian , D L Maskell
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