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Related papers: Big-PERCIVAL: Exploring the Native Use of 64-Bit P…

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The posit representation for real numbers is an alternative to the ubiquitous IEEE 754 floating-point standard. In this work, we present PERCIVAL, an application-level posit capable RISC-V core based on CVA6 that can execute all posit…

Hardware Architecture · Computer Science 2022-07-08 David Mallasén , Raul Murillo , Alberto A. Del Barrio , Guillermo Botella , Luis Piñuel , Manuel Prieto

Motivated by the increasing interest in the posit numeric format, in this paper we evaluate the accuracy and efficiency of posit arithmetic in contrast to the traditional IEEE 754 32-bit floating-point (FP32) arithmetic. We first design and…

Hardware Architecture · Computer Science 2021-09-20 Stefan Dan Ciocirlan , Dumitrel Loghin , Lavanya Ramapantulu , Nicolae Tapus , Yong Meng Teo

Posit arithmetic has emerged as a promising alternative to IEEE 754 floating-point representation, offering enhanced accuracy and dynamic range. However, division operations in posit systems remain challenging due to their inherent hardware…

Hardware Architecture · Computer Science 2025-11-05 Raul Murillo , Julio Villalba-Moreno , Alberto A. Del Barrio , Guillermo Botella

On modern architectures, the performance of 32-bit operations is often at least twice as fast as the performance of 64-bit operations. By using a combination of 32-bit and 64-bit floating point arithmetic, the performance of many dense and…

Mathematical Software · Computer Science 2015-05-13 Marc Baboulin , Alfredo Buttari , Jack Dongarra , Jakub Kurzak , Julie Langou , Julien Langou , Piotr Luszczek , Stanimire Tomov

As the dimensions and operating voltages of computer electronics shrink to cope with consumers' demand for higher performance and lower power consumption, circuit sensitivity to soft errors increases dramatically. Recently, a new data-type…

Hardware Architecture · Computer Science 2021-01-06 Ihsen Alouani , Anouar Ben Khalifa , Farhad Merchant , Rainer Leupers

Floating-point operations can significantly impact the accuracy and performance of scientific applications on large-scale parallel systems. Recently, an emerging floating-point format called Posit has attracted attention as an alternative…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-26 Steven W. D. Chien , Ivy B. Peng , Stefano Markidis

Today, almost all computer systems use IEEE-754 floating point to represent real numbers. Recently, posit was proposed as an alternative to IEEE-754 floating point as it has better accuracy and a larger dynamic range. The configurable…

Hardware Architecture · Computer Science 2021-04-13 Varun Gohil , Sumit Walia , Joycee Mekie , Manu Awasthi

By exploiting the modular RISC-V ISA this paper presents the customization of instruction set with posit\textsuperscript{\texttrademark} arithmetic instructions to provide improved numerical accuracy, well-defined behavior and increased…

Hardware Architecture · Computer Science 2024-04-09 Federico Rossi , Francesco Urbani , Marco Cococcioni , Emanuele Ruffaldi , Sergio Saponara

Many engineering and scientific applications require high precision arithmetic. IEEE~754-2008 compliant (floating-point) arithmetic is the de facto standard for performing these computations. Recently, posit arithmetic has been proposed as…

Hardware Architecture · Computer Science 2021-10-28 Niraj Sharma , Riya Jain , Madhumita Mohan , Sachin Patkar , Rainer Leupers , Nikhil Rishiyur , Farhad Merchant

While posit format offers superior dynamic range and accuracy for transprecision computing, its adoption in RISC-V processors is hindered by the lack of a unified solution for lightweight, precision-scalable, and IEEE-754 arithmetic…

Hardware Architecture · Computer Science 2025-05-27 Qiong Li , Chao Fang , Longwei Huang , Jun Lin , Zhongfeng Wang

Owing to the failure of Dennard's scaling the last decade has seen a steep growth of prominent new paradigms leveraging opportunities in computer architecture. Two technologies of interest are Posit and RISC-V. Posit was introduced in…

Hardware Architecture · Computer Science 2019-08-06 Sugandha Tiwari , Neel Gala , Chester Rebeiro , V. Kamakoti

With the rapid development of edge computing, artificial intelligence and other fields, the accuracy and efficiency of floating-point computing have become increasingly crucial. However, the traditional IEEE 754 floating-point system faces…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-04 Xinyu Wu , Yaobin Wang , Tianyi Zhao , Jiawei Qin , Zhu Liang , Jie Fu

Scientific computing applications, such as computational fluid dynamics and climate modeling, typically rely on 64-bit double-precision floating-point operations, which are extremely costly in terms of computation, memory, and energy. While…

Hardware Architecture · Computer Science 2024-09-24 Cong "Callie" Hao

Statistical computations are becoming increasingly important. These computations often need to be performed in log-space because probabilities become extremely small due to repeated multiplications. While using logarithms effectively…

Numerical Analysis · Mathematics 2025-09-16 Tiancheng Xu , Alan L. Cox , Scott Rixner

This paper presents a mixed-computation neural network processing approach for edge applications that incorporates low-precision (low-width) Posit and low-precision fixed point (FixP) number systems. This mixed-computation approach employs…

Machine Learning · Computer Science 2023-12-06 Seyedarmin Azizi , Mahdi Nazemi , Mehdi Kamal , Massoud Pedram

This research investigates using a mixed-precision iterative refinement method using posit numbers instead of the standard IEEE floating-point format. The method is applied to solve a general linear system represented by the equation $Ax =…

Numerical Analysis · Mathematics 2024-08-28 James Quinlan , E. Theodore L. Omtzigt

Wearable edge AI biomedical devices are increasingly being used for continuous patient health monitoring, enabling real-time insights and extended data collection without the need for prolonged hospital stays. These devices must be energy…

Hardware Architecture · Computer Science 2026-04-09 David Mallasén , Pasquale Davide Schiavone , Alberto A. Del Barrio , Manuel Prieto-Matias , David Atienza

The b-posit, or bounded posit, is a variation of the posit format designed for high performance computing (HPC) and AI applications. Unlike traditional floating-point formats (floats), posits use variable-length fields for exponent scaling…

Hardware Architecture · Computer Science 2026-03-03 Aditya Anirudh Jonnalagadda , Rishi Thotli , John L. Gustafson

In modern computing units, division operations are generally slower than other arithmetic operations and require more resources, such as area and power, than multiplication. To reduce the delay, fast division algorithms use an initial…

Low-precision formats have proven to be an efficient way to reduce not only the memory footprint but also the hardware resources and power consumption of deep learning computations. Under this premise, the posit numerical format appears to…

Machine Learning · Computer Science 2021-05-17 Gonçalo Raposo , Pedro Tomás , Nuno Roma
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