A radix‐8 modulo 2n multiplier using area and power‐optimized hard multiple generator

Abstract The moduli 2n multiplier plays a vital role in the design of a residue number system processor. When the radix‐8 booth‐encoded technique is adopted to design this kind of multipliers, the hard multiple generator is crucial in terms of area, power, and delay. This paper presents an area and...

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Main Authors: Naveen Kr. Kabra, Zuber M. Patel
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:IET Computers & Digital Techniques
Subjects:
Online Access:https://doi.org/10.1049/cdt2.12001
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author Naveen Kr. Kabra
Zuber M. Patel
author_facet Naveen Kr. Kabra
Zuber M. Patel
author_sort Naveen Kr. Kabra
collection DOAJ
description Abstract The moduli 2n multiplier plays a vital role in the design of a residue number system processor. When the radix‐8 booth‐encoded technique is adopted to design this kind of multipliers, the hard multiple generator is crucial in terms of area, power, and delay. This paper presents an area and power optimization technique for this kind of generators and its implementation in modulo 2n multiplier to improve the performance. The proposed hard multiplier generator (HMG) uses only ⌈log2n⌉‐2 prefix levels and (n−6)⌈log2n⌉−(⌈log2n⌉−1)2⌈log2n⌉2 total prefix operators. The synthesis of the proposed architectures is done using the Cadence tool at Generic Process design Kit‐45 nm technology. The post‐synthesis result of HMG shows 20.27%–36.57%, 2.43%–18.41% saving in area and power, respectively, while the post‐layout result of HMG shows 20.01%–35.26% and 1.33%–29.44% saving in area and power, respectively. The post‐layout result of modulo 2nmultiplier using optimized HMG shows 7.88%–10.04%, 7.87%–12.50%, 3.09%–11.29%, and 3.11%–8.79% saving in area, power, switching energy and Area delay product, respectively.
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institution Kabale University
issn 1751-8601
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publishDate 2021-01-01
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series IET Computers & Digital Techniques
spelling doaj-art-b1b6d78d0ed54cf09049608f94eba9392025-02-03T01:29:37ZengWileyIET Computers & Digital Techniques1751-86011751-861X2021-01-01151365510.1049/cdt2.12001A radix‐8 modulo 2n multiplier using area and power‐optimized hard multiple generatorNaveen Kr. Kabra0Zuber M. Patel1Electronics Engineering Department Sardar Vallabhbhai National Institute of Technology Surat IndiaElectronics Engineering Department Sardar Vallabhbhai National Institute of Technology Surat IndiaAbstract The moduli 2n multiplier plays a vital role in the design of a residue number system processor. When the radix‐8 booth‐encoded technique is adopted to design this kind of multipliers, the hard multiple generator is crucial in terms of area, power, and delay. This paper presents an area and power optimization technique for this kind of generators and its implementation in modulo 2n multiplier to improve the performance. The proposed hard multiplier generator (HMG) uses only ⌈log2n⌉‐2 prefix levels and (n−6)⌈log2n⌉−(⌈log2n⌉−1)2⌈log2n⌉2 total prefix operators. The synthesis of the proposed architectures is done using the Cadence tool at Generic Process design Kit‐45 nm technology. The post‐synthesis result of HMG shows 20.27%–36.57%, 2.43%–18.41% saving in area and power, respectively, while the post‐layout result of HMG shows 20.01%–35.26% and 1.33%–29.44% saving in area and power, respectively. The post‐layout result of modulo 2nmultiplier using optimized HMG shows 7.88%–10.04%, 7.87%–12.50%, 3.09%–11.29%, and 3.11%–8.79% saving in area, power, switching energy and Area delay product, respectively.https://doi.org/10.1049/cdt2.12001integrated circuit layoutlogic designmicroprocessor chipsmultiplying circuitsresidue number systems
spellingShingle Naveen Kr. Kabra
Zuber M. Patel
A radix‐8 modulo 2n multiplier using area and power‐optimized hard multiple generator
IET Computers & Digital Techniques
integrated circuit layout
logic design
microprocessor chips
multiplying circuits
residue number systems
title A radix‐8 modulo 2n multiplier using area and power‐optimized hard multiple generator
title_full A radix‐8 modulo 2n multiplier using area and power‐optimized hard multiple generator
title_fullStr A radix‐8 modulo 2n multiplier using area and power‐optimized hard multiple generator
title_full_unstemmed A radix‐8 modulo 2n multiplier using area and power‐optimized hard multiple generator
title_short A radix‐8 modulo 2n multiplier using area and power‐optimized hard multiple generator
title_sort radix 8 modulo 2n multiplier using area and power optimized hard multiple generator
topic integrated circuit layout
logic design
microprocessor chips
multiplying circuits
residue number systems
url https://doi.org/10.1049/cdt2.12001
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AT naveenkrkabra radix8modulo2nmultiplierusingareaandpoweroptimizedhardmultiplegenerator
AT zubermpatel radix8modulo2nmultiplierusingareaandpoweroptimizedhardmultiplegenerator