Boolean Differential Equations

Boolean Differential Equations

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Paperback, Morgan & Claypool, 2014, ISBN13 9781627052412, ISBN10 1627052410
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Paperback, Morgan & Claypool, 2014, ISBN13 9781627052412, ISBN10 1627052410

About this item

Important Made in USA Origin Disclaimer: For certain items sold by Walmart on Walmart.com, the displayed country of origin information may not be accurate or consistent with manufacturer information. For updated, accurate country of origin data, it is recommended that you rely on product packaging or manufacturer information.

Paperback, Morgan & Claypool, 2014, ISBN13 9781627052412, ISBN10 1627052410

The Boolean Differential Calculus (BDC) is a very powerful theory that extends the structure of a Boolean Algebra significantly. Based on a small number of definitions, many theorems have been proven. The available operations have been efficiently implemented in several software packages. There is a very wide field of applications. While a Boolean Algebra is focused on values of logic functions, the BDC allows the evaluation of changes of function values. Such changes can be explored for pairs of function values as well as for whole subspaces. Due to the same basic data structures, the BDC can be applied to any task described by logic functions and equations together with the Boolean Algebra. The BDC can be widely used for the analysis, synthesis, and testing of digital circuits. Generally speaking, a Boolean differential equation (BDE) is an equation in which elements of the BDC appear. It includes variables, functions, and derivative operations of these functions. The solution of such a BDE is a set of Boolean functions. This is a significant extension of Boolean equations, which have sets of Boolean vectors as solutions. In the simplest BDE a derivative operation of the BDC on the left-hand side is equal to a logic function on the right-hand side. The solution of such a simple BDE means to execute an operation which is inverse to the given derivative. BDEs can be applied in the same fields as the BDC, however, their possibility to express sets of Boolean functions extends the application field significantly. Table of Contents: Basics of the Binary Boolean Algebra / Summary of the Boolean Differential Calculus / Boolean Differential Equations / Solutions of the Exercises / Bibliography / Authors' Biographies / Index

Specifications

Number of Pages: 146
Number in Series: 1
Original Languages: English
Author: Posthoff, Christian ,  Steinbach, Bernd
Series Title: Synthesis Lectures on Digital Circuits and Systems
Publisher: Morgan & Claypool
Publication Date: January, 2014
ISBN-13: 9781627052412
Assembled Product Dimensions (L x W x H): 7.50 x 9.00 x 0.50 Inches
ISBN-10: 1627052410
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