English

Operand Folding Hardware Multipliers

Mathematical Software 2011-04-11 v1

Abstract

This paper describes a new accumulate-and-add multiplication algorithm. The method partitions one of the operands and re-combines the results of computations done with each of the partitions. The resulting design turns-out to be both compact and fast. When the operands' bit-length mm is 1024, the new algorithm requires only 0.194m+560.194m+56 additions (on average), this is about half the number of additions required by the classical accumulate-and-add multiplication algorithm (m2\frac{m}2).

Keywords

Cite

@article{arxiv.1104.1533,
  title  = {Operand Folding Hardware Multipliers},
  author = {Byungchun Chung and Sandra Marcello and Amir-Pasha Mirbaha and David Naccache and Karim Sabeg},
  journal= {arXiv preprint arXiv:1104.1533},
  year   = {2011}
}
R2 v1 2026-06-21T17:51:15.719Z