Low-error Fixed-Width Booth Multiplier using Approximation of Carry Function
This paper introduces an innovative solution for increasing precision of fixed-width radix-4 Booth multipliers through variable error compensation functions that leverage Approximation of Carry Function (ACF). Error compensation mechanisms typically comprise two carries-ideal and base carry function...
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| Fformat: | Erthygl |
| Iaith: | English |
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Tamkang University Press
2025-03-01
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| Cyfres: | Journal of Applied Science and Engineering |
| Pynciau: | |
| Mynediad Ar-lein: | http://jase.tku.edu.tw/articles/jase-202510-28-10-0008 |
| _version_ | 1826547272753610752 |
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| author | Ganjikunta Ganesh Kumar Sibghatullah Inyatullah Khan G Prasad Acharya Shravan Kumar S M |
| author_facet | Ganjikunta Ganesh Kumar Sibghatullah Inyatullah Khan G Prasad Acharya Shravan Kumar S M |
| author_sort | Ganjikunta Ganesh Kumar |
| collection | DOAJ |
| description | This paper introduces an innovative solution for increasing precision of fixed-width radix-4 Booth multipliers through variable error compensation functions that leverage Approximation of Carry Function (ACF). Error compensation mechanisms typically comprise two carries-ideal and base carry functions–strategically chosen to minimize mean error. We present three distinct methods-ACF-1, ACF-2, and ACF-3—each employing fixed base values with varying column information (w) and bit lengths (N). Comparative analyses against recent studies demonstrate that our proposed fixed-width Booth multiplier using ACF-1 stands out in terms of accuracy and efficiency tradeoffs. |
| first_indexed | 2025-03-14T05:47:01Z |
| format | Article |
| id | doaj.art-1424b02554734a8f9e901b443c25e64b |
| institution | Directory Open Access Journal |
| issn | 2708-9967 2708-9975 |
| language | English |
| last_indexed | 2025-03-14T05:47:01Z |
| publishDate | 2025-03-01 |
| publisher | Tamkang University Press |
| record_format | Article |
| series | Journal of Applied Science and Engineering |
| spelling | doaj.art-1424b02554734a8f9e901b443c25e64b2025-03-05T13:24:13ZengTamkang University PressJournal of Applied Science and Engineering2708-99672708-99752025-03-0128101951196110.6180/jase.202510_28(10).0008Low-error Fixed-Width Booth Multiplier using Approximation of Carry FunctionGanjikunta Ganesh Kumar0Sibghatullah Inyatullah Khan1G Prasad Acharya2Shravan Kumar S M3Department of Electronics and Communication Engineering, Sreenidhi Institute of Science and Technology, Hyderabad, IndiaDepartment of Electronics and Communication Engineering, Sreenidhi Institute of Science and Technology, Hyderabad, IndiaDepartment of Electronics and Communication Engineering, Sreenidhi Institute of Science and Technology, Hyderabad, IndiaDepartment of Civil Engineering, Sreenidhi Institute of Science and Technology, Hyderabad, IndiaThis paper introduces an innovative solution for increasing precision of fixed-width radix-4 Booth multipliers through variable error compensation functions that leverage Approximation of Carry Function (ACF). Error compensation mechanisms typically comprise two carries-ideal and base carry functions–strategically chosen to minimize mean error. We present three distinct methods-ACF-1, ACF-2, and ACF-3—each employing fixed base values with varying column information (w) and bit lengths (N). Comparative analyses against recent studies demonstrate that our proposed fixed-width Booth multiplier using ACF-1 stands out in terms of accuracy and efficiency tradeoffs.http://jase.tku.edu.tw/articles/jase-202510-28-10-0008error-compensation functionfixed-width multiplierideal and base carry functions |
| spellingShingle | Ganjikunta Ganesh Kumar Sibghatullah Inyatullah Khan G Prasad Acharya Shravan Kumar S M Low-error Fixed-Width Booth Multiplier using Approximation of Carry Function Journal of Applied Science and Engineering error-compensation function fixed-width multiplier ideal and base carry functions |
| title | Low-error Fixed-Width Booth Multiplier using Approximation of Carry Function |
| title_full | Low-error Fixed-Width Booth Multiplier using Approximation of Carry Function |
| title_fullStr | Low-error Fixed-Width Booth Multiplier using Approximation of Carry Function |
| title_full_unstemmed | Low-error Fixed-Width Booth Multiplier using Approximation of Carry Function |
| title_short | Low-error Fixed-Width Booth Multiplier using Approximation of Carry Function |
| title_sort | low error fixed width booth multiplier using approximation of carry function |
| topic | error-compensation function fixed-width multiplier ideal and base carry functions |
| url | http://jase.tku.edu.tw/articles/jase-202510-28-10-0008 |
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