Synthesis Lectures on Digital Circuits and Systems : Progress in Applications of Boolean Functions PDF Download
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Author: Tsutomu Sasao
Publisher:
ISBN: 9781608451814
Category :
Languages : en
Pages :
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Book Description
Author: Tsutomu Sasao
Publisher:
ISBN: 9781608451814
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Tsutomu Sasao
Publisher: Springer Nature
ISBN: 3031798120
Category : Technology & Engineering
Languages : en
Pages : 139
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Book Description
This book brings together five topics on the application of Boolean functions. They are 1. Equivalence classes of Boolean functions: The number of n-variable functions is large, even for values as small as n = 6, and there has been much research on classifying functions. There are many classifications, each with their own distinct merit. 2. Boolean functions for cryptography: The process of encrypting/decrypting plaintext messages often depends on Boolean functions with specific properties. For example, highly nonlinear functions are valued because they are less susceptible to linear attacks. 3. Boolean differential calculus: An operation analogous to taking the derivative of a real-valued function offers important insight into the properties of Boolean functions. One can determine tests or susceptibility to hazards. 4. Reversible logic: Most logic functions are irreversible; it is impossible to reconstruct the input, given the output. However, Boolean functions that are reversible are necessary for quantum computing, and hold significant promise for low-power computing. 5. Data mining: The process of extracting subtle patterns from enormous amounts of data has benefited from the use of a graph-based representation of Boolean functions. This has use in surveillance, fraud detection, scientific discovery including bio-informatics, genetics, medicine, and education. Written by experts, these chapters present a tutorial view of new and emerging technologies in Boolean functions. Table of Contents: Equivalence Classes of Boolean Functions / Boolean Functions for Cryptography / Boolean Differential Calculus / Synthesis of Boolean Functions in Reversible Logic / Data Mining Using Binary Decision Diagrams
Author: Tsutomu Sasao
Publisher: Morgan & Claypool Publishers
ISBN: 160845181X
Category : Algebra, Boolean
Languages : en
Pages : 153
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Book Description
This book brings together five topics on the application of Boolean functions. They are 1. Equivalence classes of Boolean functions: The number of n-variable functions is large, even for values as small as n = 6, and there has been much research on classifying functions. There are many classifications, each with their own distinct merit. 2. Boolean functions for cryptography: The process of encrypting/decrypting plain text messages often depends on Boolean functions with specific properties. For example, highly nonlinear functions are valued because they are less susceptible to linear attacks. 3. Boolean differential calculus: An operation analogous to taking the derivative of a real-valued function offers important insight into the properties of Boolean functions. One can determine tests or susceptibility to hazards. 4. Reversible logic: Most logic functions are irreversible; it is impossible to reconstruct the input, given the output. However, Boolean functions that are reversible are necessary for quantum computing, and hold significant promise for low-power computing. 5. Data mining: The process of extracting subtle patterns from enormous amounts of data has benefited from the use of a graph-based representation of Boolean functions. This has use in surveillance, fraud detection, scientific discovery including bio-informatics, genetics, medicine, and education. Written by experts, these chapters present a tutorial view of new and emerging technologies in Boolean functions. Table of Contents: Equivalence Classes of Boolean Functions / Boolean Functions for Cryptography / Boolean Differential Calculus / Synthesis of Boolean Functions in Reversible Logic / Data Mining Using Binary Decision Diagrams
Author: Bernd Steinbach
Publisher: Morgan & Claypool Publishers
ISBN: 1627056173
Category : Mathematics
Languages : en
Pages : 217
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Book Description
The Boolean Differential Calculus (BDC) is a very powerful theory that extends the basic concepts of Boolean Algebras significantly. Its applications are based on Boolean spaces ?? and ??n, Boolean operations, and basic structures such as Boolean Algebras and Boolean Rings, Boolean functions, Boolean equations, Boolean inequalities, incompletely specified Boolean functions, and Boolean lattices of Boolean functions. These basics, sometimes also called switching theory, are widely used in many modern information processing applications. The BDC extends the known concepts and allows the consideration of changes of function values. Such changes can be explored for pairs of function values as well as for whole subspaces. The BDC defines a small number of derivative and differential operations. Many existing theorems are very welcome and allow new insights due to possible transformations of problems. The available operations of the BDC have been efficiently implemented in several software packages. The common use of the basic concepts and the BDC opens a very wide field of applications. The roots of the BDC go back to the practical problem of testing digital circuits. The BDC deals with changes of signals which are very important in applications of the analysis and the synthesis of digital circuits. The comprehensive evaluation and utilization of properties of Boolean functions allow, for instance, to decompose Boolean functions very efficiently; this can be applied not only in circuit design, but also in data mining. Other examples for the use of the BDC are the detection of hazards or cryptography. The knowledge of the BDC gives the scientists and engineers an extended insight into Boolean problems leading to new applications, e.g., the use of Boolean lattices of Boolean functions.
Author: Mitchell Thornton
Publisher:
ISBN: 9781608453108
Category : Technology & Engineering
Languages : en
Pages : 500
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Book Description
This is the first volume in a new hardcover combined volume of Synthesis Lectures. This volume contains the following lectures: Finite State Machine Datapath Design, Optimization, and Implementation; Introduction to Logic Synthesis using Verilog HDL; High-Speed Digital System Design; Microcontrollers Fundamentals for Engineers and Scientists
Author: William Eccles
Publisher:
ISBN: 9781608453115
Category :
Languages : en
Pages : 500
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Book Description
Author: Tsutomu Sasao
Publisher: Springer Nature
ISBN: 3031799119
Category : Technology & Engineering
Languages : en
Pages : 165
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Book Description
Index generation functions are binary-input integer valued functions. They represent functions of content addressable memories (CAMs). Applications include: IP address tables; terminal controllers; URL lists; computer virus scanning circuits; memory patch circuits; list of English words; code converters; and pattern matching circuits. This book shows memory-based realization of index generation functions. It shows: 1. methods to implement index generation functions by look-up table (LUT) cascades and index generation units (IGU), 2. methods to reduce the number of variables using linear transformations, and 3. methods to estimate the sizes of memories, with many illustrations, tables, examples, exercises, and their solutions.
Author: Scott C. Smith
Publisher:
ISBN: 9781608453153
Category :
Languages : en
Pages : 486
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Book Description
Author: Richard Tinder
Publisher:
ISBN: 9781608455508
Category :
Languages : en
Pages : 505
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Book Description
Author: Steven Barrett
Publisher: Springer Nature
ISBN: 303179821X
Category : Technology & Engineering
Languages : en
Pages : 240
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Book Description
This book is about the Arduino microcontroller and the Arduino concept. The visionary Arduino team of Massimo Banzi, David Cuartielles, Tom Igoe, Gianluca Martino, and David Mellis launched a new innovation in microcontroller hardware in 2005, the concept of open source hardware. Their approach was to openly share details of microcontroller-based hardware design platforms to stimulate the sharing of ideas and promote innovation. This concept has been popular in the software world for many years. This book is intended for a wide variety of audiences including students of the fine arts, middle and senior high school students, engineering design students, and practicing scientists and engineers. To meet this wide audience, the book has been divided into sections to satisfy the need of each reader. The book contains many software and hardware examples to assist the reader in developing a wide variety of systems. For the examples, the Arduino Duemilanove and the Atmel ATmega328 is employed as the target processor. Table of Contents: Getting Started / Programming / Embedded Systems Design / Serial Communication Subsystem / Analog to Digital Conversion (ADC) / Interrupt Subsystem / Timing Subsystem / Atmel AVR Operating Parameters and Interfacing
