Tools for binary decision diagram analysis
95Mar_Ang.pdf (2.110Mb)Abstract
The Binary Decision Diagram (BDD) is a very useful representation in the design and verification of switching functions. This is due to to its compactness, where size is measured by the number of nodes. In the implementation of logic circuits, connection of sub-functions is by means of pass transistors. The delay time for the interconnections is often larger than the delay of the decision logic. For that reason, crossings are often more expensive than logic. Planar Binary Decision Diagrams are therefore desirable in implementing logic circuits. This paper presents a method for finding a planar Ordered Binary Decision Diagram (OBDD) for threshold functions. The program that implements the algorithm is written in Borland C++. A special case of Fibonacci threshold function having up to 9 variables is analyzed. It is shown that Fibonacci functions having up to 9 variables have planar OBDD. With this program, the characteristics of other threshold functions are developed.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
Related items
Showing items related by title, author, creator and subject.
-
Characteristics of the binary decision diagrams of Boolean Bent Functions
(Monterey, California: Naval Postgraduate School, 2009-09);Boolean bent functions have desirable cryptographic properties in that they have maximum nonlinearity, which hardens a cryptographic function against linear cryptanalysis attacks. Furthermore, bent functions are extremely ... -
Planar Decision Diagrams for Multiple-Valued Functions
(1996);In VLSI, crossings of interconnect occupy space and cause delay. Therefore, there is significant benefit to planar circuits. We propose the use of planar multiple-valued decision diagrams for produce planar multiple-valued ... -
Average path length of binary decision diagrams
(2005-09);The traditional problem in binary decision diagrams (BDDs) has been to minimize the number of nodes since this reduces the memory needed to store the BDD. Recently, a new problem has emerged: minimizing the average path ...
