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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 the implementation of a 8x8 bit multiplier with two different implementations of a 4x4 quaternary digit multiplier. Interfacing this binary multiplier with quaternary to binary decoders and binary to quaternary encoders leads to…

Hardware Architecture · Computer Science 2020-05-07 Daniel Etiemble

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

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 Carry Propagate Adders, carry propagation is the critical delay. The most efficient scheme is to generate Cout0 (Cin=0) and Cout1(Cin=1) and multiplex the correct output according to Cin. For any radix, the carry output is always 0/1. We…

Hardware Architecture · Computer Science 2022-07-12 Daniel Etiemble

This paper presents a ternary half adder and a 1-trit multiplier using carbon nanotube transistors. The proposed circuits are designed using pass transistor logic and dynamic logic. Ternary logic uses less connections than binary logic, and…

Emerging Technologies · Computer Science 2021-10-07 Farzin Mahboob-Sardroudi , Mehdi Habibi , Mohammad-Hossein Moaiyeri

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 Carry Propagate Adders, carry propagation is the critical delay. For the 1-digit adders that they use, the most efficient scheme is to generate two intermediate carries: C$_{out0}$ ($C_{in}$=0) and $C_{out1}$($C_{in}$=1). Then multiplex…

Hardware Architecture · Computer Science 2022-07-05 Daniel Etiemble

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

Carbon Nanotube Field Effect Transistor (CNFET) is a promising new technology that overcomes several limitations of traditional silicon integrated circuit technology. In recent years, the potential of CNFET for analog circuit applications…

Emerging Technologies · Computer Science 2012-05-10 Ishit Makwana , Vitrag Sheth

This paper investigates the use of carbon nanotube field effect transistors (CNFETs) for the design of ternary full adder cells. The proposed circuits have been designed based on the unique properties of CNFETs such as having desired…

Emerging Technologies · Computer Science 2017-01-03 Fazel Sharifi , Atiyeh Panahi , Mohammad Hossein Moaiyeri , Keivan Navi

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

Carbon nanotube field-effect transistors (CNFETs) are promising candidates for building energy-efficient digital systems at highly-scaled technology nodes. However, carbon nanotubes (CNTs) are inherently subject to variations that reduce…

Emerging Technologies · Computer Science 2016-11-17 Gage Hills , Jie Zhang , Max Marcel Shulaker , Hai Wei , Chi-Shuen Lee , Arjun Balasingam , H. -S. Philip Wong , Subhasish Mitra

Traditional silicon binary circuits continue to face challenges such as high leakage power dissipation and large area of interconnections. Multiple-Valued Logic (MVL) and nano devices are two feasible solutions to overcome these problems.…

Emerging Technologies · Computer Science 2018-06-21 Sepher Tabrizchi , Fazel Sharifi , Abdel-Hameed A. Badawy

Deep Convolutional Neural Networks (CNNs) have become state-of-the art for computer vision and other signal processing tasks due to their superior accuracy. In recent years, large efforts have been made to reduce the computational costs of…

Hardware Architecture · Computer Science 2021-04-13 Mario Fischer , Juergen Wassner

As IoT and edge inference proliferate,there is a growing need to simultaneously optimize area and delay in lookup-table (LUT)-based multipliers that implement large numbers of low-bitwidth operations in parallel. This paper proposes a…

Hardware Architecture · Computer Science 2025-10-27 Misaki Kida , Shimpei Sato

Binary neural networks (BNN) have been studied extensively since they run dramatically faster at lower memory and power consumption than floating-point networks, thanks to the efficiency of bit operations. However, contemporary BNNs whose…

Machine Learning · Computer Science 2018-12-04 Shilin Zhu , Xin Dong , Hao Su

Wallace tree multipliers are a parallel digital multiplier architecture designed to minimize the worst-case time complexity of the circuit depth relative to the input size [1]. In particular, it seeks to perform long multiplication in the…

Hardware Architecture · Computer Science 2025-09-12 Ayan Biswas , Jimmy Jin

Large-scale plasma simulations are critical for designing and developing next-generation fusion energy devices and modeling industrial plasmas. BIT1 is a massively parallel Particle-in-Cell code designed for specifically studying plasma…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-17 Jeremy J. Williams , David Tskhakaya , Stefan Costea , Ivy B. Peng , Marta Garcia-Gasulla , Stefano Markidis

Convolutional Neural Networks (CNNs) are one of the most successful deep machine learning technologies for processing image, voice and video data. CNNs require large amounts of processing capacity and memory, which can exceed the resources…

Neural and Evolutionary Computing · Computer Science 2017-08-17 James Garland , David Gregg
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