Arithmetic Blocks
Arithmetic circuits are an essential part of many digital circuits and thus deserve a particular treatment. In this chapter implementations of the basic arithmetic operations are presented. Only operations with naturals (nonnegative integers) are consider
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al Systems
From Logic Gates to Processors
Digital Systems
Jean-Pierre Deschamps • Elena Valderrama • Lluı´s Tere´s
Digital Systems From Logic Gates to Processors
Jean-Pierre Deschamps School of Engineering Rovira i Virgili University Tarragona, Spain
Elena Valderrama Escola d’Enginyeria Campus de la UAB Bellaterra, Spain
Lluı´s Tere´s Microelectronics Institute of Barcelona IMB-CNM (CSIC) Campus UAB-Bellaterra, Cerdanyola Barcelona, Spain
ISBN 978-3-319-41197-2 ISBN 978-3-319-41198-9 (eBook) DOI 10.1007/978-3-319-41198-9 Library of Congress Control Number: 2016947365 # Springer International Publishing Switzerland 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
Preface
Digital electronic components are present in almost all our private and professional activities: • Our personal computers, our smartphones, or our tablets are made up of digital components such as microprocessors, memories, interface circuits, and so on. • Digital components are also present within our cars, our TV sets, or even in our household appliances. • They are essential components of practically any industrial production line. • They are also essential components of public transport systems, of secure access control systems, and many others. We could say that any activity involving: • The acquisition of data from human interfaces or from different types of sensors • The storage of data • The transmission of data • The processing of data • The use of data to control human interfaces or to control different types of actuators (e.g., mechanical actuators), can be performed in a safe and fast way by means of Digital Systems. Thus, nowadays digital systems constitute a basic technical discipline, essential to any engineer. That’s the reason why the Engineering School of the Autonomous University of Barcelona (UAB) has designed an introdu
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