VLSI Design

VLSI Design / 1999 / Article

Open Access

Volume 9 |Article ID 045607 | https://doi.org/10.1155/1999/45607

Bogdan J. Falkowski, Chip-Hong Chang, "An Efficient Algorithm for the Calculation of Generalized Adding and Arithmetic Transforms From Disjoint Cubes of Boolean Functions", VLSI Design, vol. 9, Article ID 045607, 12 pages, 1999. https://doi.org/10.1155/1999/45607

An Efficient Algorithm for the Calculation of Generalized Adding and Arithmetic Transforms From Disjoint Cubes of Boolean Functions

Received21 Apr 1997
Accepted05 Feb 1998

Abstract

A new algorithm is given that converts a reduced representation of Boolean functions in the form of disjoint cubes to Generalized Adding and Arithmetic spectra. Since the known algorithms that generate Adding and Arithmetic spectra always start from the truth table of Boolean functions the method presented computes faster with a smaller computer memory. The method is extremely efficient for such Boolean functions that are described by only few disjoint cubes and it allows the calculation of only selected spectral coefficients, or all the coefficients can be calculated in parallel.

Copyright © 1999 Hindawi Publishing Corporation. This 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.


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