An in-depth-examination: comparative analysis of multiplication hardware accelerator algorithms in VHDL for 8-Bit Systems (WTM), (PBM) and (BWM) synthesized on an ALTERA-CYCLONE-II-DE1-Board

Universidad nacional abierta y a Distancia UNAD, Andres Gonzálo Hernández Ortega, Braian Stiven Avella Rivera, Universidad Pedagogica y Tecnologica de Colombia UPTC, Óscar Fernando Vera Cely, Universidad Pedagogica y Tecnologica de Colombia UPTC, Jorge Orlando Bareño Quintero, Universidad nacional abierta y a Distancia UNAD · Ingenieria Solidaria · 2024

This article presents an implementation and comparative analysis of 8-bit Wallace Tree Multiplier (WTM), Parallel Booth Multiplier (PBM), and Baugh-Wooley Multiplier (BWM) algorithms.Introduction: this article results from research conducted for a Master’s degree in Engineering at the Pedagogical and Technological University of Colombia (UPTC) between 2022 and 2024. It analyzes and compares the performan-ce of three multiplication algorithms (WTM, PBM, and BWM), focusing on variables such as operation time and the number of logical elements used.Problem:computing has advanced rapidly, enabling multiple operations on a single chip. This has increased the demand for components that execute tasks quickly while occupying minimal space. Multipliers are crucial in appli-cations such as filters, DSP circuits, and fast Fourier transforms.Objective: to analyze and compare the performance of three multiplication algorithms—WTM, PBM, and BWM—tai-lored for 8-bit systems.Methodology: the research methodology was designed to ensure robustness and reliability. It began with formulating objectives and identifying key variables. Articles were selected based on their contributions to understanding multi-plication algorithms and programming languages. The research included designing and comparing 8-bit multiplier algorithms (WTM, PBM, and BWM).Results:an analysis of the results identified the variables that contributed to significant performance improvements for each algorithm.Conclusions: t h e p r o j e c t s u c c e s s f u l l y i m p r o v e d t h e e f fi c i e n c y o f t h e a l g o r i t h m s b y u t i l i z i n g v a r i o u s r e g i s t e r s h i f t s a n d multipliers based on the operational case that benefited them the most. It achieved improvements in both efficiency and operation time concerning the use of logical elements.Originality: this research formulates strategies for applying and comparing multiplication algorithms, differentiating data processing based on specific data characteristics.Limitations:• The lack of testing systems for the implementations.• The study focused on comparing three multiplication algorithms, limiting generalizability.• Performance metrics.

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