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Preface | |
Acknowledgements | |
Introduction | |
Progress From Micro- to Nanoelectronics | |
Logic Design in Spatial Dimensions | |
Towards Computer-Aided Design of NanoICs | |
Methodology | |
Example: Hypercube Structure of Hierarchical FPGA | |
Summary | |
Problems | |
Further Reading | |
References | |
Nanotechnologies | |
Nanotechnologies | |
Nanoelectronic Devices | |
Digital Nanoscale Circuits: Gates vs. Arrays | |
Molecular Electronics | |
Scaling and Fabrication | |
Summary | |
Problems | |
Further Reading | |
References | |
Basics of Logic Design in Nanospace | |
Graphs | |
Data Structures for Switching Functions | |
Sum-of-Products Expressions | |
Shannon Decision Trees and Diagrams | |
Reed-Muller Expressions | |
Decision Trees and Diagrams | |
Arithmetic Expressions | |
Decision Trees and Diagrams | |
Summary | |
Problems | |
Further Reading | |
References | |
Word-Level Data Structures | |
Word-level Data Structures | |
Word-level Arithmetic Expressions | |
Word-level Sum-of-Products Expressions | |
Word-level Reed-Muller Expressions | |
Summary | |
Problems | |
Further Reading | |
References | |
Nanospace and Hypercube-Like Data Structures | |
Spatial Structures | |
Hypercube Data Structure | |
Assembling of Hypercubes | |
N-Hypercube Definition | |
Degree of Freedom and Rotation | |
Coordinate Description | |
N-Hypercube Design for n > 3 Dimensions | |
Embedding a Binary Decision Tree in N-Hypercube | |
Assembling | |
Spatial Topological Measurements | |
Summary | |
Problems | |
Further Reading | |
References | |
Nanodimensional Multilevel Circuits | |
Graph-Based Models in Logic Design of Multilevel Networks | |
Library of N-Hypercubes for Elementary Logic Functions | |
Hybrid Design Paradigm: N-Hypercube and DAG | |
Manipulation of N-Hypercubes | |
Numerical Evaluation of 3-D Structures | |
Summary | |
Further Reading | |
References | |
Linear Word-Level Models of Multilevel Circuits | |
Linear Expressions | |
Linear Arithmetic Expressions | |
Linear Arithmetic Expressions of Elementary Functions | |
Linear Decision Diagrams | |
Representation of a Circuit Level by Linear Expression | |
Linear Decision Diagrams for Circuit Representation | |
Technique for Manipulating the Coefficients | |
Linear Word-level Sum-of-Products Expressions | |
Linear Word-level Reed-Muller Expressions | |
Summary | |
Problems | |
Further Reading | |
References | |
Event-Driven Analysis of Hypercube-Like Topology | |
Formal Definition of Change in a Binary System | |
Computing Boolean Differences | |
Models of Logic Networks in Terms of Change | |
Matrix Models of Change | |
Models of Directed Changes in Algebraic Form | |
Local Computation Via Partial Boolean Difference | |
Generating Reed-Muller Expressions by Logic Taylor Series | |
Arithmetic Analogs of Boolean Differences and Logic Taylor Expansion | |
Summary | |
Problems | |
Further Reading | |
References | |
Nanodimensional Multivalued Circuits | |
Introduction to Multivalued Logic | |
Spectral Technique | |
Multivalued Decision Trees and Decision Diagrams | |
Concept of Change in Multivalued Circuits | |
Generation of Reed-Muller Expressions | |
Linear Word-level Expressions of Multivalued Functions | |
Linear Nonarithmetic Word-level Representation of Multivalued Functions | |
Summary | |
Problems | |
Further Reading | |
References | |
Parallel Computation in Nanospace | |
Data Structures and Massive Parallel Computing | |
Arrays | |
Linear Systolic Arrays for Computing Logic Functions | |
Computing Reed-Muller Expressions | |
Computing Boolean Differences | |
Computing Arithmetic Expressions | |
Computing Walsh Expressions | |
Tree-Based Network for Manipulating a Switching Function | |
Hypercube Arrays | |
Summary | |
Problems | |
Further Reading | |
References | |
Fault-Tolerant Computation | |
Definitions | |
Probabilistic Behavior of Nanodevices | |
Neural Networks | |
Stochastic Computing | |
Von Neumann's Model on Reliable Computation with Unreliable Components | |
Faulty Hypercube-Like Computing Structures | |
Summary | |
Further Reading | |
References | |
Information Measures in Nanodimensions | |
Information-Theoretical Measures at Various Levels of Design in Nanodimensions | |
Information-Theoretical Measures in Logic Design | |
Information Measures of Elementary Switching Functions | |
Information-Theoretical Measures in Decision Trees | |
Information Measures in the N-Hypercube | |
Information-Theoretical Measures in Multivalued Functions | |
Summary | |
Problems | |
Further Reading | |
References | |
Index | |
Table of Contents provided by Publisher. All Rights Reserved. |
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