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020 _a9783031798528
024 7 _a10.1007/978-3-031-79852-8
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA9.45
_b2012 EB
100 1 _aStanković, Radomir S.
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9688171
245 1 0 _aRepresentations of Multiple-Valued Logic Functions
_cby Radomir S. Stankovic, Jaakko Astola, Claudio Moraga
250 _a1st edition 2012
264 1 _aCham
_bSpringer International Publishing
_c2012
300 _a1 recurso en línea (XIII, 154 páginas)
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _aSynthesis Lectures on Digital Circuits & Systems
_x1932-3174
505 0 _aMultiple-Valued Logic Functions -- Functional Expressions for Multiple-Valued Functions -- Spectral Representations of Multiple-Valued Functions -- Decision Diagrams for Multiple-Valued Functions -- Fast Calculation Algorithms.
520 _aCompared to binary switching functions, the multiple-valued functions (MV) offer more compact representations of the information content of signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical methods for their representation in a way that will make their application in practice feasible. Representation of Multiple-Valued Logic Functions is aimed at providing an accessible introduction to these mathematical techniques that are necessary for application of related implementation methods and tools. This book presents in a uniform way different representations of multiple-valued logic functions, including functional expressions, spectral representations on finite Abelian groups, and their graphical counterparts (various related decision diagrams). Three-valued, or ternary functions, are traditionally used as the first extension from the binary case. They have a good feature that the ratio between the number of bits and the number of different values that can be encoded with the specified number of bits is favourable for ternary functions. Four-valued functions, also called quaternary functions, are particularly attractive, since in practical realization within today prevalent binary circuits environment, they may be easy coded by binary values and realized with two-stable state circuits. At the same time, there is much more considerable advent in design of four-valued logic circuits than for other $p$-valued functions. Therefore, this book is written using a hands-on approach such that after introducing the general and necessarily abstract background theory, the presentation is based on a large number of examples for ternary and quaternary functions that should provide an intuitive understanding of various representation methods and the interconnections among them. Table of Contents: Multiple-Valued Logic Functions / Functional Expressions for Multiple-Valued Functions / Spectral Representations of Multiple-Valued Functions / Decision Diagrams for Multiple-Valued Functions / Fast Calculation Algorithms.
988 _aSynthesis Collection of Technology_2012
650 7 _2embne
_9139136
_aLógica matemática
_xModelos matemáticos
650 7 _2embne
_9150608
_aProceso de señales
700 _aAstola, Jaakko
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_999208
700 1 _aMoraga, Claudio
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9688172
776 0 8 _iPrinted edition:
_z9783031798511
776 0 8 _iPrinted edition:
_z9783031798535
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-79852-8
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b04/2023
_dz
_eIG
_zSI