NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS

Volume: 10 Number: 2 March 1, 2020
  • Yavuz Can
EN

NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS

Abstract

A classical problem of Boolean theory is to derive a disjointed Sum of Products. This work introduces a novel approach for converting Sum of Products into disjointed Sum of Products which is based on a novel, generally valid, combining technique of 'orthogonalizing difference-building '. Postulates and rules for this linking technique are defined which have to be considered getting correct results. The benefit of the novel approach is that the result contains fewer number of product terms which has significant advantages for further calculations as the Boolean Differential Calculus.

Keywords

References

  1. Bernasconi, A. and Ciriani, V. and Luccio, F. and Pagli, L., (2008), New Heuristic for DSOP Minimization, In 8th International Workshop on Boolean Problems (IWSBP), 18-19 September 2008, Freiberg (Sachs.), Germany.
  2. Bernasconi, A. and Ciriani, V. and Trucco, G. and Villa, T., (2013), Minimization of EP-SOPs via Boolean relations, In 21st International Conference on Very Large Scale Integration (VLSI-SoC), 7-9 October 2013, Istanbul, Turkey.
  3. Bochmann, D. and Posthoff, Ch., (1981), Bin¨are dynamische Systeme, Akademie- Verlag, Berlin.
  4. Bochmann, D., (2006), Bin¨are Systeme - Ein Boolean Buch, LiLoLe-Verlag, Hagen.
  5. Bochmann, D. and Zakrevskij, A.D. and Posthoff, Ch., (1984), Boolesche Gleichun- gen. Theorie - Anwendungen - Algorithmen, VEB Verlag Technik, Berlin.
  6. Can, Y., (2016), Neue Boolesche Operative Orthogonalisierende Methoden und Gle- ichungen, FAU University Press, Erlangen.
  7. Can, Y. and Steinbach, B., (2018), Orthogonalization of a TVL in Disjunctive or Conjunctive Form, In: Steinbach B. Further Improvements in the Boolean Domain, Newcastle upon Tyne, Cambridge Scholars Publishing, pp. 156-172.
  8. Can, Y. and Kassim, H. and Fischer, G., (2016), New Boolean Equation for Or- thogonalizing of Disjunctive Normal Form based on the Method of Orthogonalizing Difference-Building, Journal of Electronic Testing. Theory and Applicaton (JETTA), 32: 197-208.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Yavuz Can This is me

Publication Date

March 1, 2020

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2020 Volume: 10 Number: 2

APA
Can, Y. (2020). NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS. TWMS Journal of Applied and Engineering Mathematics, 10(2), 459-470. https://izlik.org/JA55XY32KW
AMA
1.Can Y. NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS. JAEM. 2020;10(2):459-470. https://izlik.org/JA55XY32KW
Chicago
Can, Yavuz. 2020. “NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS”. TWMS Journal of Applied and Engineering Mathematics 10 (2): 459-70. https://izlik.org/JA55XY32KW.
EndNote
Can Y (March 1, 2020) NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS. TWMS Journal of Applied and Engineering Mathematics 10 2 459–470.
IEEE
[1]Y. Can, “NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS”, JAEM, vol. 10, no. 2, pp. 459–470, Mar. 2020, [Online]. Available: https://izlik.org/JA55XY32KW
ISNAD
Can, Yavuz. “NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS”. TWMS Journal of Applied and Engineering Mathematics 10/2 (March 1, 2020): 459-470. https://izlik.org/JA55XY32KW.
JAMA
1.Can Y. NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS. JAEM. 2020;10:459–470.
MLA
Can, Yavuz. “NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS”. TWMS Journal of Applied and Engineering Mathematics, vol. 10, no. 2, Mar. 2020, pp. 459-70, https://izlik.org/JA55XY32KW.
Vancouver
1.Yavuz Can. NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS. JAEM [Internet]. 2020 Mar. 1;10(2):459-70. Available from: https://izlik.org/JA55XY32KW