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Multipliers are widely-used arithmetic operators in digital signal processing and machine learning circuits. Due to their relatively high complexity, they can have high latency and be a significant source of power consumption. One strategy…

Hardware Architecture · Computer Science 2023-10-17 Shervin Vakili , Mobin Vaziri , Amirhossein Zarei , J. M. Pierre Langlois

The utilization of finite field multipliers is pervasive in contemporary digital systems, with hardware implementation for bit parallel operation often necessitating millions of logic gates. However, various digital design issues, whether…

Information Theory · Computer Science 2023-07-27 Saeideh Nabipour , Javad Javidan

This paper presents a novel algorithm for the modulus operation for FPGA implementation. The proposed algorithm use only addition, subtraction, logical, and bit shift operations, avoiding the complexities and hardware costs associated with…

Cryptography and Security · Computer Science 2025-01-10 W. A. Susantha Wijesinghe

Flexibility and customization are key strengths of Field-Programmable Gate Arrays (FPGAs) when compared to other computing devices. For instance, FPGAs can efficiently implement arbitrary-precision arithmetic operations, and can perform…

Hardware Architecture · Computer Science 2025-07-17 Junius Pun , Xilai Dai , Grace Zgheib , Mahesh A. Iyer , Andrew Boutros , Vaughn Betz , Mohamed S. Abdelfattah

This paper presents a variable bit-width fixed-point fast divider using Goldschmidt division algorithm and Mitchell multiplication algorithm. Described using Verilog HDL and implemented on a Xilinx XC7Z020-2CLG400I FPGA, the proposed…

Signal Processing · Electrical Eng. & Systems 2025-08-22 Jinkun Yang

The major challenge when designing multipliers for FPGAs is to address several trade-offs: On the one hand at the performance level and on the other hand at the resource level utilizing DSP blocks or look-up tables (LUTs). With DSPs being a…

Hardware Architecture · Computer Science 2024-07-08 Andreas Böttcher , Martin Kumm

The rapid updates in error-resilient applications along with their quest for high throughput have motivated designing fast approximate functional units for Field-Programmable Gate Arrays (FPGAs). Studies that proposed imprecise functional…

Hardware Architecture · Computer Science 2022-06-29 Zahra Ebrahimi , Muhammad Zaid , Mark Wijtvliet , Akash Kumar

Electronic devices primarily aim to offer low power consumption, high speed, and a compact area. The performance of very large-scale integration (VLSI) devices is influenced by arithmetic operations, where multiplication is a crucial…

Hardware Architecture · Computer Science 2025-06-16 Ali Ranjbar , Elham Esmaeili , Roghayeh Rafieisangari , Nabiollah Shiri

Multiplication is a core operation in modern neural network (NN) computations, contributing significantly to energy consumption. The linear-complexity multiplication (L-Mul) algorithm is specifically proposed as an approximate…

Hardware Architecture · Computer Science 2024-12-30 Ruiqi Chen , Yangxintong Lyu , Han Bao , Bruno da Silva

There is a recent trend in artificial intelligence (AI) inference towards lower precision data formats down to 8 bits and less. As multiplication is the most complex operation in typical inference tasks, there is a large demand for…

Hardware Architecture · Computer Science 2024-05-06 Andreas Böttcher , Martin Kumm

Increasing development in embedded systems, VLSI and processor design have given rise to increased demands from the system in terms of power, speed, area, throughput etc. Most of the sophisticated embedded system applications consist of…

Hardware Architecture · Computer Science 2018-02-20 Bhavana Mehta , Jonti Talukdar , Sachin Gajjar

The number of Digital Signal Processor (DSP) resources available in Field Programmable Gate Arrays (FPGAs) is often quite limited. Therefore, full utilization of available DSP resources for the computationally intensive parts of an…

Hardware Architecture · Computer Science 2023-08-08 Jan Sommer , M. Akif Özkan , Oliver Keszocze , Jürgen Teich

The finite field multiplier is mainly used in many of today's state of the art digital systems and its hardware implementation for bit parallel operation may require millions of logic gates. Natural causes or soft errors in digital design…

Information Theory · Computer Science 2023-03-15 Saeideh Nabipour , Javad Javidan , Gholamreza Zare Fatin

We present the analysis of various FPGA design implementations of a Montgomery Modular Multiplier, compatible with the BLS12-381 elliptic curve, using the Coarsely Integrated Operand Scanning approach of working with complete partial…

Hardware Architecture · Computer Science 2025-09-11 Rares Ifrim , Decebal Popescu

For FPGA-based neural network accelerators, digital signal processing (DSP) blocks have traditionally been the cornerstone for handling multiplications. This paper introduces LUTMUL, which harnesses the potential of look-up tables (LUTs)…

Hardware Architecture · Computer Science 2024-11-20 Yanyue Xie , Zhengang Li , Dana Diaconu , Suranga Handagala , Miriam Leeser , Xue Lin

FPGAs have distinct advantages as a technology for deploying deep neural networks (DNNs) at the edge. Lookup Table (LUT) based networks, where neurons are directly modeled using LUTs, help maximize this promise of offering ultra-low latency…

Machine Learning · Computer Science 2024-09-17 Binglei Lou , Richard Rademacher , David Boland , Philip H. W. Leong

The performance of any elliptic curve cryptography hardware accelerator significantly relies on the efficiency of the underlying point multiplication (PM) architecture. This article presents a hardware implementation of field-programmable…

The data transfer between a processor and memory has become a design bottleneck in data-intensive applications. Processing-In-Memory (PIM) is a practical approach to overcome the memory wall bottleneck. The 4:2 compressor is suitable for…

Emerging Technologies · Computer Science 2024-07-16 Bahareh Bagheralmoosavi , Seyed Erfan Fatemieh , Mohammad Reza Reshadinezhad , Antonio Rubio

The ever-increasing quest for data-level parallelism and variable precision in ubiquitous multimedia and Deep Neural Network (DNN) applications has motivated the use of Single Instruction, Multiple Data (SIMD) architectures. To alleviate…

Hardware Architecture · Computer Science 2020-11-03 Zahra Ebrahimi , Salim Ullah , Akash Kumar

This work presents the design and preliminary performance of a highly-multiplexed superconducting detector readout. The readout system is implemented on the Xilinx ZCU111 RFSoC Evaluation Board. The current design uses 12% of the DSPs, 60%…

Instrumentation and Methods for Astrophysics · Physics 2022-03-31 Jennifer Pearl Smith , John I. Bailey , III. , Benjamin A. Mazin
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