This text explains the fundamental principles of algorithms available for performing arithmetic operations on digital computers. These include basic arithmetic operations like addition, subtraction, multiplication, and division in fixed-point and floating-point number systems as well as more complex operations such as square root extraction and evaluation of exponential, logarithmic, and trigonometric functions. The algorithms described are independent of the particular technology employed for their implementation.

This book contains an edited selection of papers presented at the International Workshop on Defect and Fault Tolerance in VLSI Systems held October 6-7, 1988 in Springfield, Massachusetts. Our thanks go to all the contributors and especially the members of the program committee for the difficult and time-consuming work involved in selecting the papers that were presented in the workshop and reviewing the papers included in this book. Thanks are also due to the IEEE Computer Society (in particular, the Technical Committee on Fault-Tolerant Computing and the Technical Committee on VLSI) and the University of Massachusetts at Amherst for sponsoring the workshop, and to the National Science Foundation for supporting (under grant number MIP-8803418) the keynote address and the distribution of this book to all workshop attendees. The objective of the workshop was to bring t. ogether researchers and practition ers from both industry and academia in the field of defect tolerance and yield en ha. ncement in VLSI to discuss their mutual interests in defect-tolerant architectures and models for integrated circuit defects, faults, and yield. Progress in this area was slowed down by the proprietary nature of yield-related data, and by the lack of appropriate forums for disseminating such information. The goal of this workshop was therefore to provide a forum for a dialogue and exchange of views. A follow-up workshop in October 1989, with C. H. Stapper from IBM and V. K. Jain from the University of South Florida as general co-chairmen, is being organized."

This book constitutes the refereed proceedings of the Third International Workshop on Fault Diagnosis and Tolerance in Cryptography, FDTC 2006, held in Yokohama, Japan in October 2006.

The 12 revised papers of FDTC 2006 are presented together with nine papers from FDTC 2004 and FDTC 2005 that passed a second round of reviewing. They all provide a comprehensive introduction to the issues faced by designers of robust cryptographic devices.

Fault-Tolerant Systems, Second Edition, is the first book on fault tolerance design utilizing a systems approach to both hardware and software. No other text takes this approach or offers the comprehensive and up-to-date treatment that Koren and Krishna provide. The book comprehensively covers the design of fault-tolerant hardware and software, use of fault-tolerance techniques to improve manufacturing yields, and design and analysis of networks. Incorporating case studies that highlight more than ten different computer systems with fault-tolerance techniques implemented in their design, the book includes critical material on methods to protect against threats to encryption subsystems used for security purposes. The text’s updated content will help students and practitioners in electrical and computer engineering and computer science learn how to design reliable computing systems, and how to analyze fault-tolerant computing systems.