FAST PARALLEL PREFIX MODULO 2n+1 ADDER

  • Unique Paper ID: 145081
  • PageNo: 276-277
  • Abstract:
  • Two architectures for modulo 2n+1 adders are introduced in this paper. The first one is built around a sparse carry computation unit that computes only some of the carries of the modulo 2n+1 addition. This sparse approach is enabled by the introduction of the inverted circular idem potency property of the parallel-prefix carry operator and its regularity and area efficiency are further enhanced by the introduction of a new prefix operator. The resulting diminished-1 adders can be implemented in smaller area and consume less power compared to all earlier proposals, while maintaining a high Operation speed. The second architecture unifies the design of modulo 2n-1 adders. It is shown that modulo 2n-1 adders can be easily derived by straightforward modifications of modulo 2n-1 adders with minor hardware overhead.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{145081,
        author = {G.CHANDANA  and P.RAJANI},
        title = {FAST PARALLEL PREFIX  MODULO 2n+1 ADDER},
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {4},
        number = {7},
        pages = {276-277},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=145081},
        abstract = {Two architectures for modulo 2n+1 adders are introduced in this paper. The first one is built around a sparse carry computation unit that computes only some of the carries of the modulo 2n+1 addition. This sparse approach is enabled by the introduction of the inverted circular idem potency property of the parallel-prefix carry operator and its regularity and area efficiency are further enhanced by the introduction of a new prefix operator. The resulting diminished-1 adders can be implemented in smaller area and consume less power compared to all earlier proposals, while maintaining a high Operation speed. The second architecture unifies the design of modulo 2n-1 adders. It is shown that modulo 2n-1 adders can be easily derived by straightforward modifications of modulo 2n-1 adders with minor hardware overhead.
},
        keywords = {Parallel-Prefix, Potency},
        month = {},
        }

Cite This Article

G.CHANDANA, , & P.RAJANI, (). FAST PARALLEL PREFIX MODULO 2n+1 ADDER. International Journal of Innovative Research in Technology (IJIRT), 4(7), 276–277.

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