A Low Power Radix-4 Booth Multiplier With Pre-Encoded Mechanism

The radix-4 Booth algorithm is widely used to improve the performance of multiplier because it can reduce the number of partial products by half. However, numerous additional encoders and decoders would cause the power consumption of the Booth multiplier to be considerable. In this paper, a new radi...

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Main Authors: Yen-Jen Chang, Yu-Cheng Cheng, Shao-Chi Liao, Chun-Huo Hsiao
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9121226/
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author Yen-Jen Chang
Yu-Cheng Cheng
Shao-Chi Liao
Chun-Huo Hsiao
author_facet Yen-Jen Chang
Yu-Cheng Cheng
Shao-Chi Liao
Chun-Huo Hsiao
author_sort Yen-Jen Chang
collection DOAJ
description The radix-4 Booth algorithm is widely used to improve the performance of multiplier because it can reduce the number of partial products by half. However, numerous additional encoders and decoders would cause the power consumption of the Booth multiplier to be considerable. In this paper, a new radix-4 Booth pre-encoded mechanism is proposed to reduce the power consumption of the Booth multiplier. The proposed design can effectively reduce the power of the Booth multiplier dissipated in the redundant activities by disabling the Booth encoders and decoders from unnecessary working. Particularly, since the control signals are generated early at the pipeline input register before the multiplier, the performance of our design is better than the traditional Booth multiplier. Based on the TSMC 40 nm technology, the simulation results show that the proposed pre-encoded mechanism can reduce the dynamic and static power by 45% and 65%, respectively, compared to the traditional 16-bit radix-4 Booth multiplier. Compared to the previous designs, the proposed design keeps the feature of race-free and has lower power consumption. Even compared to the approximate design, the proposed design has better power efficiency and can provide the exact products.
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spelling doaj.art-90d8131a25bd4e7396f0d7fa247aed3b2022-12-21T17:25:44ZengIEEEIEEE Access2169-35362020-01-01811484211485310.1109/ACCESS.2020.30036849121226A Low Power Radix-4 Booth Multiplier With Pre-Encoded MechanismYen-Jen Chang0Yu-Cheng Cheng1https://orcid.org/0000-0003-0012-863XShao-Chi Liao2Chun-Huo Hsiao3Department of Computer Science and Engineering, National Chung Hsing University, Taichung City, TaiwanDepartment of Computer Science and Engineering, National Chung Hsing University, Taichung City, TaiwanWinbond Electronics Corporation, Hsinchu County, TaiwanDepartment of Computer Science and Engineering, National Chung Hsing University, Taichung City, TaiwanThe radix-4 Booth algorithm is widely used to improve the performance of multiplier because it can reduce the number of partial products by half. However, numerous additional encoders and decoders would cause the power consumption of the Booth multiplier to be considerable. In this paper, a new radix-4 Booth pre-encoded mechanism is proposed to reduce the power consumption of the Booth multiplier. The proposed design can effectively reduce the power of the Booth multiplier dissipated in the redundant activities by disabling the Booth encoders and decoders from unnecessary working. Particularly, since the control signals are generated early at the pipeline input register before the multiplier, the performance of our design is better than the traditional Booth multiplier. Based on the TSMC 40 nm technology, the simulation results show that the proposed pre-encoded mechanism can reduce the dynamic and static power by 45% and 65%, respectively, compared to the traditional 16-bit radix-4 Booth multiplier. Compared to the previous designs, the proposed design keeps the feature of race-free and has lower power consumption. Even compared to the approximate design, the proposed design has better power efficiency and can provide the exact products.https://ieeexplore.ieee.org/document/9121226/Booth algorithmlow power multiplierpower efficiencypartial productradix-4 Booth multiplier
spellingShingle Yen-Jen Chang
Yu-Cheng Cheng
Shao-Chi Liao
Chun-Huo Hsiao
A Low Power Radix-4 Booth Multiplier With Pre-Encoded Mechanism
IEEE Access
Booth algorithm
low power multiplier
power efficiency
partial product
radix-4 Booth multiplier
title A Low Power Radix-4 Booth Multiplier With Pre-Encoded Mechanism
title_full A Low Power Radix-4 Booth Multiplier With Pre-Encoded Mechanism
title_fullStr A Low Power Radix-4 Booth Multiplier With Pre-Encoded Mechanism
title_full_unstemmed A Low Power Radix-4 Booth Multiplier With Pre-Encoded Mechanism
title_short A Low Power Radix-4 Booth Multiplier With Pre-Encoded Mechanism
title_sort low power radix 4 booth multiplier with pre encoded mechanism
topic Booth algorithm
low power multiplier
power efficiency
partial product
radix-4 Booth multiplier
url https://ieeexplore.ieee.org/document/9121226/
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