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This introductory textbook, based on the authors' 15 years experience in teaching logic design, is a complete teaching tool for turning students into logic designers in one semester. It covers combinational circuits, basic computer arithmetic, synchronous circuits, finite state machines, logical simulation, and an implementation of a simple RISC processor and its machine language. Each chapter first describes new concepts and then gives extensive applications and examples of these new ideas. Assuming no prior knowledge of discrete mathematics, the authors introduce all the necessary background in propositional logic, asymptotics, graphs, hardware and electronics. Important features of the presentation are: • Every designed circuit is formally specified and implemented; the correctness of the implementation is proved, and the cost and delay are analyzed • Algorithmic solutions are offered for tasks such as logical simulation, computation of propagation delay, and minimum clock period • Connections are drawn from the physical analog world to the digital abstraction • The language of graphs is used to describe formulas and circuits • Hundreds of figures, examples and exercises enhance understanding The extensive website http://www.eng.tau.ac.il/~guy/Even-Medina/ includes teaching slides and links to Logisim and a DLX assembly simulator.Read more
- Offers a completely self-contained text that assumes no prior knowledge of discrete mathematics
- Designed to turn students into logic designers in one semester
- Features an extensive website with teaching slides, links to Logisim and a DLX assembly simulator, as well as other supplements
- Each chapter includes concepts illustrated through extensive applications, examples and problems
Reviews & endorsements
"The book is a refreshing and carefully written introduction to the design and analysis of digital logic circuits, culminating in the design of a simple microprocessor. The book aims to give a mathematical foundation and presentation of the field at an introductory level, and it succeeds well: the level of presentation and proof is very consistent and complete, essentially self-contained, and proofs are easy to follow, with essentially all details given, which is a huge bonus if the book is used in class. For the interested, perhaps mathematically inclined, non-student researcher, the book is a very enjoyable read."
Jesper Larsson Traff, Vienna University of TechnologySee more reviews
"I am very taken by their approach, which emphasizes mathematical rigor and the “ritual,” as Even and Medina call it, of formal specification, design, correctness proof, and analysis of delay and cost. Teaching students how to design correctly from the start is the only long-term solution to poor system design. I like very much that they end with an instruction‐set architecture description of a simplified DLX microprocessor. In my opinion, this is exactly where to end a hardware course, as it is the responsibility of hardware designers to faithfully implement the programmer’s reference model used by software engineers."
Shiu‐Kai Chin, Syracuse University
"I highly recommend this book for academic courses on digital design."
Vladimir Botchev, Computing Reviews
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- Date Published: June 2019
- format: Paperback
- isbn: 9781108708036
- dimensions: 254 x 178 x 20 mm
- weight: 0.642kg
- contains: 102 b/w illus. 35 tables 183 exercises
- availability: Available
Table of Contents
Part I. Preliminaries:
1. Sets and functions
2. Induction and recursion
3. Sequences and series
4. Directed graphs
5. Binary representation
6. Propositional logic
8. Computer stories: big endian vs. little endian
Part II. Combinational Circuits:
9. Representation by formulas
10. The digital abstraction
11. Foundations of combinational circuits
13. Decoders and encoders
14. Selectors and shifters
16. Signed addition
Part III. Synchronous Circuits:
18. Memory modules
19. Foundations of synchronous circuits
20. Synchronous modules: analysis and synthesis
21. The ISA of a simplified DLX
22. A simplified DLX: implementation.
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