Journal ArticleDOI
Simplification of Switching Functions Involving a very Large Number of ‘Don't Care’ States†
TLDR
In this paper, a method of simplification of switching functions involving a very large number of "don't care" states is suggested. But it is not shown how the knowledge of the sets of prime implicants thus obtained can be used for finding minimal or other irredundant sums of switching function.Abstract:
A method of simplification of switching functions involving a very large number of ‘ don't care’ states is suggested in the present paper. First a tabular technique is suggested which generates all the prime implicants starting from the maxterm type expressions of switching functions, avoiding generation of the prime implicants formed of ‘don't care’ states only. The technique presented is simple and iterative. Next it is suggested how the knowledge of the sets of prime implicants thus obtained can be utilized for finding minimal or other irredundant sums of switching functions.read more
Citations
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Journal ArticleDOI
Clause-Column Table Approach for Generating All the Prime Implicants of Switching Functions
S.R. Das,N.S. Khabra +1 more
TL;DR: This note describes an iterative procedure for generating the prime implicants of switching functions by utilizing a new tabular mode of functional representation called clause-column table, which can be applied equally well to functions given in the sum-of-products or in the product- of-sums froms.
Journal ArticleDOI
Boolean function minimization in the class of disjunctive normal forms
A. A. Sapozhenko,I. P. Chukhrov +1 more
TL;DR: The survey focuses on minimization of boolean functions in the class of disjunctive normal forms (d.n.f.s) and covers the publications from 1953 to 1986, and presents a classification of minimization algorithms.
Journal ArticleDOI
An optimal controller for discrete time delay systems requiring no prediction
TL;DR: In this paper, an optimal controller which does not require prediction is derived for a discrete, single variable time delay system and compared with others which handle time delay problems and its performance tested on a simulation example of practical en...
Journal ArticleDOI
Coincidence between Boolean products and its application to third-order simplification†
S. R. Das,C. L. Sheng +1 more
TL;DR: The second-order expressions of Boolean functions can have either sum-ofproduct or product-of-sum forms, and the concept of coincidence between the p terms of the function is introduced in this article.
References
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Journal ArticleDOI
Minimization of Boolean functions
TL;DR: A systematic procedure is presented for writing a Boolean function as a minimum sum of products and specific attention is given to terms which can be included in the function solely for the designer's convenience.
Journal ArticleDOI
The Problem of Simplifying Truth Functions
TL;DR: The Problem of Simplifying Truth Functions is concerned with the problem of reducing the number of operations on a graph to a simple number.
Journal ArticleDOI
The synthesis of two-terminal switching circuits
TL;DR: A basic part of the general synthesis problem is the design of a two-terminal network with given operating characteristics, and this work shall consider some aspects of this problem.
Journal ArticleDOI
Simplest Normal Truth Functions
TL;DR: This paper develops a method for both disjunctive and conjunctive normal truth functions which is in some respects similar to Quine's but which does not involve prior expansion of a formula into developed normal form.
Journal ArticleDOI
A method for simplifying Boolean functions
TL;DR: In this paper, an iterative technique for simplifying Boolean functions is presented, which enables the user to obtain prime implicants by simple operations on a set of decimal numbers which describe the function.
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