Very-Large-Scale Integration (VLSI) Implementation and Performance Comparison of Multiplier Topologies for Fixed- and Floating-Point Numbers

Multiplication is an arithmetic operation that has a significant impact on the performance of several real-life applications such as digital signals, image processing, and machine learning. The main concern of electronic system designers is energy optimization with minimal penalties in terms of speed and area for designing portable devices. In this work, a very-large-scale integration (VLSI) design and delay/area performance comparison of array, Wallace tree, and radix-4 Booth multipliers was performed. This study employs different word lengths, with an emphasis on the design of floating-point multipliers. All multiplier circuits were designed and synthesized using Alliance open-source tools in 350 nm process technology with the minimum delay constraint. The findings indicate that the array multiplier has the highest delay and area for all the multiplier sizes. The Wallace multiplier exhibited the lowest delay in the mantissa multiplication of single-precision floating-point numbers. However, no significant difference was observed when compared with the double-precision floating-point multipliers. The Wallace multiplier uses the lowest area in both the single- and double-precision floating-point multipliers.

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Publication Details

Journal
Applied Sciences
Published
2025-04-22
DOI
https://doi.org/10.3390/app15094621
Citations
3
Primary Topic
Numerical Methods and Algorithms
Type
article
Field-Weighted Citation Impact
4.51

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article

Very-Large-Scale Integration (VLSI) Implementation and Performance Comparison of Multiplier Topologies for Fixed- and Floating-Point Numbers

Antonio Muñoz, Abimael Jiménez Pérez
3 citations
Applied Sciences
Numerical Methods and Algorithms
4.51
article

Very-Large-Scale Integration (VLSI) Implementation and Performance Comparison of Multiplier Topologies for Fixed- and Floating-Point Numbers

Antonio Muñoz, Abimael Jiménez Pérez
article en
3 citations

Abstract

Multiplication is an arithmetic operation that has a significant impact on the performance of several real-life applications such as digital signals, image processing, and machine learning. The main concern of electronic system designers is energy optimization with minimal penalties in terms of speed and area for designing portable devices. In this work, a very-large-scale integration (VLSI) design and delay/area performance comparison of array, Wallace tree, and radix-4 Booth multipliers was performed. This study employs different word lengths, with an emphasis on the design of floating-point multipliers. All multiplier circuits were designed and synthesized using Alliance open-source tools in 350 nm process technology with the minimum delay constraint. The findings indicate that the array multiplier has the highest delay and area for all the multiplier sizes. The Wallace multiplier exhibited the lowest delay in the mantissa multiplication of single-precision floating-point numbers. However, no significant difference was observed when compared with the double-precision floating-point multipliers. The Wallace multiplier uses the lowest area in both the single- and double-precision floating-point multipliers.

Applied SciencesVol. 15(9)
Universidad Autónoma de Ciudad Juárez (MX), Universidad de Guadalajara (MX)
Universidad de Guadalajara
Openalex Percentile: Top 6%
Numerical Methods and Algorithms
4.51
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Very-Large-Scale Integration (VLSI) Implementation and Performance Comparison of Multiplier Topologies for Fixed- and Floating-Point Numbers — Antonio Muñoz, Abimael Jiménez Pérez · Applied Sciences (2025) | TGRS Research Map | TGRS