Abstract
This paper proposes a new algorithm to simplify the multiple valued logic (MVL) decision diagrams. This algorithm is based on a new level coupling rule. By changing the designer’s perspective towards the design, this rule can make further simplification possible. In most of state of the art designs, the decision diagram plays a serious role in the implementation of the logical functions. The proposed algorithm uses the new level coupling rule and combines it with the existing ones, presenting a new method in simplifying and implementing the basic decision diagram.
Highlights
Using the decision diagram is a very efficient and common method to illustrate the switching functions
The arrangement of the layout variables or their ordering will affect the dimensions of the decision diagram
Numerous researches in simplification and implementation of multiple valued logic (MVL) decision diagram have been conducted [1,3,9]
Summary
Using the decision diagram is a very efficient and common method to illustrate the switching functions. There is a discussion about the MVL decision diagram, which illustrates that the number of nodes for function realization in a defined radix has an exponential relation to the number of variables, and the upper bound of this number is analyzed. Third section discusses the coupling rule and its related algorithm for decision diagram and realization of their current mode in radix2 (BDD) and higher radixes (MDD).
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