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In some cases, minimum Sum-Of-Products (SOP) expressions of Boolean functions can be derived by detecting decomposition and observing the functional properties such as unateness, instead of applying the classical minimization algorithms. This paper presents a systematic study of such situations and develops a divide-and-conquer algorithm for SOP… (More)

SUMMARY In this paper, we propose a compact representation of logic functions using Multi-valued Decision Diagrams (MDDs) called heterogeneous MDDs. In a heterogeneous MDD, each variable may take a different domain. By partitioning binary input variables and representing each partition as a single multi-valued variable, we can produce a heterogeneous MDD… (More)

A multiple-output function can be represented by a binary decision diagram for characteristic function (BDD for CF). This paper presents a new method to represent multiple-output incompletely specified functions using BDD for CF. An algorithm to reduce the widths of BDD for CFs is presented. This method is useful for decomposition of incompletely specified… (More)

—This paper presents a design method of easily testable AND-EXOR networks. It is an improvement of Reddy and Saluja-Reddy's methods, and has the following features: 1) The network uses generalized Reed-Muller expressions (GRMs) instead of Positive Polarity Reed-Muller expressions (PPRMs). The average number of products for GRMs is less than half of that for… (More)

This paper considers two types of n-bit adders, ripple carry adders and cascaded carry look-ahead adders, with minimum tests for stuck-at fault models. In the first part, we present two types of full adders consisting of five gates, and show their minimality. We also prove that one of the full adders can be tested by only three test patterns for single… (More)

This paper presents an efficient technique for solving a Boolean matching problem in cell-library binding, where the number of cells in the library is large. As a basis of the Boolean matching, we use the notion NP-representative (NPR); two functions have the same NPR if one can be obtained from the other by a permutation and/or complementation(s) of the… (More)

—This paper proposes minimization algorithms for the memory size and the average path length (APL) of heterogeneous multivalued decision diagrams (MDDs). In a heterogeneous MDD, each multivalued variable can take different domains. To represent a binary logic function using a heterogeneous MDD, we partition the binary variables into groups with different… (More)