English

Combinational Logic Circuit Design with the Buchberger Algorithm

Hardware Architecture 2007-05-23 v1

Abstract

We detail a procedure for the computation of the polynomial form of an electronic combinational circuit from the design equations in a truth table. The method uses the Buchberger algorithm rather than current traditional methods based on search algorithms. We restrict the analysis to a single output, but the procedure can be generalized to multiple outputs. The procedure is illustrated with the design of a simple arithmetic and logic unit with two 3-bit operands and two control bits.

Keywords

Cite

@article{arxiv.cs/0605125,
  title  = {Combinational Logic Circuit Design with the Buchberger Algorithm},
  author = {Germain Drolet},
  journal= {arXiv preprint arXiv:cs/0605125},
  year   = {2007}
}

Comments

15 pages, 1 table