Orthogonalizing Boolean Subtraction of Minterms or Ternary-Vectors

• Authors: Y. Can , G. Fischer
• Languages of publication: EN

Abstracts

EN

In this paper, a method called "Boolean subtraction" which enables the subtraction of two minterms and of two functions of the disjunctive normal form respectively of two ternary-vectors and of two ternary-vector-lists is presented. The advantage of "Boolean subtraction" is that the calculated results are already presented in an orthogonal form, which has a significant advantage for further calculations. It replaces two procedures, once building the difference and then the subsequent orthogonalizing and has faster computing time in comparison. Furthermore, another equation is developed from the property of this new method providing orthogonal results in order to orthogonalize functions of the disjunctive normal form.

Keywords

EN

02.10.Ab

Discipline

• 02.10.Ab: Logic and set theory

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 128
• Issue: 2B
• Pages: B-388-B-391

Dates

published

2015-8

Contributors

author

Y. Can

• Friedrich-Alexander University Erlangen-Nuremberg, Institute for Technical Electronics, Erlangen, Germany

author

G. Fischer

• Friedrich-Alexander University Erlangen-Nuremberg, Institute for Technical Electronics, Erlangen, Germany

References

• [1] H.J. Zander, Logischer Entwurf binärer Systeme. 3. bearb. Auflage, Verl. Technik, Berlin 1989
• [2] L. Popula, Mathematik für Ingenieure und Naturwissenschaften, Band 1., 13. durchgelesene Auflage, Viewer und Teubner Verlag - Springer Fachmedien, Wiesbaden 2011
• [3] M. Kühnrich, Dissertation. Technische Hochschule Karl-Marx-Stadt, Chemnitz 1979
• [4] D. Bochmann, Binäre Systeme. Ein BOOLEAN Buch. LiLoLe-Verlag GmbH, Hagen 2006
• [5] G. Kempe, Ph.D. Thesis, Technische Universität Bergakademie, Freiberg 2003
• [6] Ch. Posthoff, Dissertation, Technische Hochschule Karl-Marx-Stadt, Chemnitz 1979
• [7] H. Kassim, M.Sc. Thesis, Institute for Reliable Circuits and Systems, Friedrich-Alexander-University Erlangen-Nürnberg, Germany

Identifiers

DOI

10.12693/APhysPolA.128.B-388