Logic Circuit Design Selected Methods
In three main divisions the book covers combinational circuits, latches, and asynchronous sequential circuits. Combinational circuits have no memorising ability, while sequential circuits have such an ability to various degr
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Shimon P. Vingron
Logic Circuit Design Selected Methods
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Shimon P. Vingron B¨arenkogelweg 21 2371 Hinterbr¨uhl Austria
ISBN 978-3-642-27656-9 e-ISBN 978-3-642-27657-6 DOI 10.1007/978-3-642-27657-6 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2012935652 c Springer-Verlag Berlin Heidelberg 2012 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
For my wife, Dora, the spirit of the family, the companion and love of my life.
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Preface
This book introduces you to the design of logic circuits. In these times of the scientific journal it has become customary for a scientific book, in the main, to contain well-established knowledge while new findings are presented in scientific journals, preferably ones peer reviewed. As J.R.R. Tolkien says of his Hobbits in the prologue to ‘The Fellowship of the Ring’, ‘. . . they liked to have books filled with things that they already knew, set out fair and square with no contradictions’. But this is not a Hobbitian book: While I certainly have tried to set things out fairly and squarely and hope to have avoided contradictions, major parts of this book contain new findings. These, when put together and presented in context, draw a totally new picture of sequential circuits. As the whole is more than just the sum of its parts, I thought it advisable to give a picture as complete as possible, thus the book form, and not to split the material into small parts adequate for journals, but lacking in meaning if not seen in context. The subject matter is divided into three divisions, the first covering circuits that have no memorising ability, the combinational circuits, the second presents pure memory circuits, the latches, the third investigates circuits which have a memorising ability to various degrees, the sequential circuits. The presentation is not theoretical, in that most proofs have been omitted, hopefully making the text more readable. But there is still enough algebraic content to warrant using paper and pencil parallel to reading the book. Part I, on Combinational Circuits, draws completely upon the first three divisions of Vingron (2004); th
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