Computation of disjoint cube representations using a maximal binate variable heuristic

L. Shivakumaraiah1, M.A. Thornton1
1Department of Electrical and Computer Engineering, Mississippi State University, USA

Tóm tắt

A method for computing the disjoint-sum-of-products (DSOP) form of Boolean functions is described. The algorithm exploits the property of the most binate variable in a set of cubes to compute a DSOP form. The technique uses a minimized sum-of-products (SOP) cube list as input. Experimental results comparing the size of the DSOP cube list produced by this algorithm and those produced by other methods demonstrate the efficiency of this technique and show that superior results occur in many cases for a set of benchmark functions.

Từ khóa

#Boolean functions #Design automation #Minimization #Logic functions #Sections #Equations #Boolean algebra #Binary trees

Tài liệu tham khảo

10.1049/ip-cds:19990327 falkowski, 1993, Calculation of Rademacher-Walsh Spectral coefficients for systems of completely and incompletely specified Boolean functions, IEEE International Symposium on Circuits and Systems, 1698 10.1109/43.277608 hurs, 1985, Spectral Techniques in Digital Logic 10.1109/ISMVL.1993.289569 kozlowski, 1995, An enhanced algorithm for the minimization of exclusive-OR-sum-of-products for incompletely specified functions, Proceedings of IEEE International Conference on Computer Design VLSI in Computers and Processors, 224 mishchenko, 2001, Fast heuristic minimization of exclusive-sums-of-products, Proceedings of the International Workshop on Reed-Muller expansions in circuit design, 242 10.1007/978-1-4615-1425-1 brayton, 1984, Logic Minimization Algorithms for VLSI Synthesis, 10.1007/978-1-4613-2821-6 10.1109/MWSCAS.1993.343341 kozlowski, 1996, Application of exclusive-OR logic in technology independent logic optimization falkowski, 1990, A fast computer algorithm for the generation of disjoint cubes for completely and incompletely specified Boolean functions, the 33rd Midwest Symposium on Circuits and Systems, 1119