Implementation of a Speed Optimized Pipelined 32-Bit Floating Point Multiplier for Performance – Critical VLSI Systems

Floating-point multiplication is a critical operation in modern digital systems, including signal processing, scientific computing, graphics processing, and high-performance embedded applications. With increasing computational demands, high-speed and area-efficient arithmetic units are essential. This paper presents the design and VLSI implementation of a 32-bit single-precision float- ing-point multiplier optimized for enhanced performance through architectural improvements. The proposed design improves mantissa multiplication using Ra- dix-4 modified Booth encoding to reduce partial products, thereby lowering switching activity and propagation delay. A Wallace tree reduction structure is employed for fast parallel partial-product compression, significantly accelerating accumulation compared to conventional array multipliers. To further enhance throughput, a pipelined architecture is introduced, dividing computation into bal- anced stages to minimize critical path delay and increase operating frequency. Exponent addition with bias adjustment, along with systematic normalization and rounding units, ensures accurate and stable floating-point computation, including proper handling of edge cases. The design is implemented in Verilog HDL and synthesized using standard VLSI tools. Results demonstrate improved timing performance and optimized hardware utilization compared to conventional archi- tectures, achieving an effective balance between speed, area, and complexity.

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Publication Details

Journal
i-manager’s Journal on Embedded Systems
Published
2026-11-11
DOI
https://doi.org/10.26634/jes.15.1.11322
Primary Topic
Numerical Methods and Algorithms
Type
article
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article

Implementation of a Speed Optimized Pipelined 32-Bit Floating Point Multiplier for Performance – Critical VLSI Systems

S. Thirumala Devi, V. Beula Rani, S. Pujitha, V. Jyothika et al.
i-manager’s Journal on Embedded Systems
Numerical Methods and Algorithms
article

Implementation of a Speed Optimized Pipelined 32-Bit Floating Point Multiplier for Performance – Critical VLSI Systems

S. Thirumala Devi, V. Beula Rani, S. Pujitha, V. Jyothika, T. Dedeepya Lakshmi Sri
article en

Abstract

Floating-point multiplication is a critical operation in modern digital systems, including signal processing, scientific computing, graphics processing, and high-performance embedded applications. With increasing computational demands, high-speed and area-efficient arithmetic units are essential. This paper presents the design and VLSI implementation of a 32-bit single-precision float- ing-point multiplier optimized for enhanced performance through architectural improvements. The proposed design improves mantissa multiplication using Ra- dix-4 modified Booth encoding to reduce partial products, thereby lowering switching activity and propagation delay. A Wallace tree reduction structure is employed for fast parallel partial-product compression, significantly accelerating accumulation compared to conventional array multipliers. To further enhance throughput, a pipelined architecture is introduced, dividing computation into bal- anced stages to minimize critical path delay and increase operating frequency. Exponent addition with bias adjustment, along with systematic normalization and rounding units, ensures accurate and stable floating-point computation, including proper handling of edge cases. The design is implemented in Verilog HDL and synthesized using standard VLSI tools. Results demonstrate improved timing performance and optimized hardware utilization compared to conventional archi- tectures, achieving an effective balance between speed, area, and complexity.

i-manager’s Journal on Embedded SystemsVol. 15(1)
Numerical Methods and Algorithms
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