Energy and area efficient hierarchy multiplier architecture based on Vedic mathematics and GDI logic

Hierarchy multiplier is attractive because of its ability to carry the multiplication operation within one clock cycle. The existing hierarchical multipliers occupy more area and also results in more delay. Therefore, in this paper, a method to reduce the computation delay of hierarchy multiplier by...

Full description

Bibliographic Details
Main Authors: Mohan Shoba, Rangaswamy Nakkeeran
Format: Article
Language:English
Published: Elsevier 2017-02-01
Series:Engineering Science and Technology, an International Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2215098616303202
_version_ 1818548183826956288
author Mohan Shoba
Rangaswamy Nakkeeran
author_facet Mohan Shoba
Rangaswamy Nakkeeran
author_sort Mohan Shoba
collection DOAJ
description Hierarchy multiplier is attractive because of its ability to carry the multiplication operation within one clock cycle. The existing hierarchical multipliers occupy more area and also results in more delay. Therefore, in this paper, a method to reduce the computation delay of hierarchy multiplier by employing CslA and Binary to Excess 1 Converter (BEC) is proposed. The use of BEC eliminates the n/4 number of adders, existing in the conventional addition scheme, where n denotes the multiplier input width. As the area of the hierarchy multiplier is determined by its base multiplier, the base multiplier is realized with the proposed Vedic multiplier, which has small area and operates with less delay than the conventional multipliers. In addition, the reduction of power consumption in the hierarchy multiplier can be ensured by implementing the designed multiplier with full swing Gate Diffusion Input (GDI) logic. The performances of the proposed and the existing multipliers are evaluated by Cadence SPICE simulator using 45 nm technology model. From the simulation results, the performance parameters namely, delay and power consumption are calculated. Further, the area is measured from the corresponding layout for the same technology model. It is examined from the results that the proposed multiplier operates with 17% lesser power delay product than the recently reported hierarchy multiplier. The Monte Carlo simulation is performed to understand the robustness of the proposed hierarchy multiplier.
first_indexed 2024-12-12T08:16:31Z
format Article
id doaj.art-b5ba47f7511440948d3079d9cf29b086
institution Directory Open Access Journal
issn 2215-0986
language English
last_indexed 2024-12-12T08:16:31Z
publishDate 2017-02-01
publisher Elsevier
record_format Article
series Engineering Science and Technology, an International Journal
spelling doaj.art-b5ba47f7511440948d3079d9cf29b0862022-12-22T00:31:33ZengElsevierEngineering Science and Technology, an International Journal2215-09862017-02-0120132133110.1016/j.jestch.2016.06.007Energy and area efficient hierarchy multiplier architecture based on Vedic mathematics and GDI logicMohan ShobaRangaswamy NakkeeranHierarchy multiplier is attractive because of its ability to carry the multiplication operation within one clock cycle. The existing hierarchical multipliers occupy more area and also results in more delay. Therefore, in this paper, a method to reduce the computation delay of hierarchy multiplier by employing CslA and Binary to Excess 1 Converter (BEC) is proposed. The use of BEC eliminates the n/4 number of adders, existing in the conventional addition scheme, where n denotes the multiplier input width. As the area of the hierarchy multiplier is determined by its base multiplier, the base multiplier is realized with the proposed Vedic multiplier, which has small area and operates with less delay than the conventional multipliers. In addition, the reduction of power consumption in the hierarchy multiplier can be ensured by implementing the designed multiplier with full swing Gate Diffusion Input (GDI) logic. The performances of the proposed and the existing multipliers are evaluated by Cadence SPICE simulator using 45 nm technology model. From the simulation results, the performance parameters namely, delay and power consumption are calculated. Further, the area is measured from the corresponding layout for the same technology model. It is examined from the results that the proposed multiplier operates with 17% lesser power delay product than the recently reported hierarchy multiplier. The Monte Carlo simulation is performed to understand the robustness of the proposed hierarchy multiplier.http://www.sciencedirect.com/science/article/pii/S2215098616303202MultiplierFS-GDI logicCslABEC converter4-2 compressor
spellingShingle Mohan Shoba
Rangaswamy Nakkeeran
Energy and area efficient hierarchy multiplier architecture based on Vedic mathematics and GDI logic
Engineering Science and Technology, an International Journal
Multiplier
FS-GDI logic
CslA
BEC converter
4-2 compressor
title Energy and area efficient hierarchy multiplier architecture based on Vedic mathematics and GDI logic
title_full Energy and area efficient hierarchy multiplier architecture based on Vedic mathematics and GDI logic
title_fullStr Energy and area efficient hierarchy multiplier architecture based on Vedic mathematics and GDI logic
title_full_unstemmed Energy and area efficient hierarchy multiplier architecture based on Vedic mathematics and GDI logic
title_short Energy and area efficient hierarchy multiplier architecture based on Vedic mathematics and GDI logic
title_sort energy and area efficient hierarchy multiplier architecture based on vedic mathematics and gdi logic
topic Multiplier
FS-GDI logic
CslA
BEC converter
4-2 compressor
url http://www.sciencedirect.com/science/article/pii/S2215098616303202
work_keys_str_mv AT mohanshoba energyandareaefficienthierarchymultiplierarchitecturebasedonvedicmathematicsandgdilogic
AT rangaswamynakkeeran energyandareaefficienthierarchymultiplierarchitecturebasedonvedicmathematicsandgdilogic