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Number Systems A. The evolution has run along two closely related tracks: the underlying physical technology and the software tools that facilitate the application of the new devices. The trends identified in the first edition have continued stronger than ever and promise to continue for some time to come. Specifically, programmable logic has become virtually the norm for digital designers and the art of digital design now absolutely requires the software skills to deal with hardware description languages. In fact, for many application areas, even small programmable logic devices PLDs , the mainstays of the s and early s, are rapidly disappearing. The burgeoning market for smaller, lower power, and more portable devices has driven high levels of integration into almost every product. This also has changed the nature of optimization; the focus is now on what goes into each chip rather than on the collection of individual gates needed to realize the design.

Introduction to Logic Design. Fundamentals of Logic Design. Programming Logic and Design, Comprehensive. Digital Principles and Logic Design.

Logic, Logic, and Logic. Logic, logic, and logic. Logic Design for Array-Based Circuits: A Structured Design Methodology. Just Enough Programming Logic and Design. Digital Logic Circuit Analysis and Design. Chapter 4 presents the full range of implementation technologies available to the logic designer for combinational logic. It is paired with Chapter 9 that does the same for sequential logic.

Chapter 4 starts with basic logic gates as in the traditional TTL-based courses , but quickly progresses to programmable logic PLDs and two-level forms and then to field-programmable gate arrays.

We also discuss other types of logic constructs such as tri-state and open-collector logic. Basic electronics to support this discussion are in Appendix B. Chapter 5 culminates the combinational logic section of the book with seven examples of increasing complexity.

We emphasize problem solving from the initial specification and have provided considerable discussion of how to transform an initial informal description of the problem into precise logical statements while keeping track of the assumptions that are being made. Our goal in this chapter is to show the range of logic design and how to judge design tradeoffs and take advantage of optimization opportunities. The remaining five chapters do the same for sequential logic what the Chapters 2 through 5 did for combinational logic.

Chapter 6 begins this section by introducing the idea of circuits with feedback and how they can be analyzed. We develop the basic elements of sequential logic, latches, and flip-flops by recapitulating their evolution. This is coupled with a discussion of the timing methodologies that make it practical to build large sequential logic systems. These methodologies are illustrated with simple sequential systems of shift registers. The chapter concludes with a continuation of the exposition of hardware description languages started in Chapter 3 and now extended to basic sequential logic elements.

Chapter 7 covers the central concept of finite state machines.

It begins by using counters as a simple form of FSM and then moves on to the basic Moore and Mealy models for organizing sequential behavior. Like Chapter 2, it concludes by motivating the various optimization opportunities. Chapter 8 extends the basic ideas of Chapter 7 and expands on the details of FSM optimization by treating state minimization, state encoding, and FSM partitioning, in turn. Each of these is illustrated with examples that highlight the tradeoffs at each stage of optimization.

Chapter 9 concludes the discussion of implementation technologies.

It recapitulates all the technologies used for combinational logic introduced in Chapter 4 but focusing on their sequential logic elements. Chapter 10 is a large chapter with six comprehensive design examples that bring to practice all the concepts in the text. It begins with the sequential logic example from Chapter 1, now discussed in full detail, to tie back to the start of the text and ends with the serial transmission of characters from a keypad to display. The latter examples focus on the partitioning of design problems into communicating pieces along two dimensions: parallel state machines and partitioning into datapath and control.

The three appendices cover number systems, basic electronics, and flip-flop types. The first two are likely to cover concepts that students are likely to have already seen in mathematics, physics, electrical engineering, or computer science introductory courses. They are not intended to be extensive treatment of these topics but only provide the background most directly connected to the main topics of this text.

The appendix on flip-flop types is provided for historical completeness. The Complete Teaching Package The material in this book easily fills a quarter-long course and, therefore, be comfortably covered in a semester-long course. In fact, it is likely that supplemental topics, governed by the place in the curriculum the semester-long course occupies, can and should be included. These could be: more in-depth discussion of CAD algorithms including their data structures, efficiency, and implementation; further discussion of design tradeoffs in a particular implementation technology such as FPGAs; a larger design problem that can serve as a term project to highlight issues of scale and debugging; and topics from computer organization emphasizing partitioning into data-path and control and optimized structure for both.

Of course, individual instructors may also find that re-ordering some of the material makes more sense in their environments.

For example, it is certainly possible to proceed by following the two sections in parallel rather than serially. Chapter 2 plus 6 and 7 can be paired, followed by 3 and 8, then 4 and 9, with the larger design examples of 5 and 10 together at the end.

Many topics can also be skipped altogether. For example, CAD tools and their algorithms may be relegated to another course.

Similarly, HDLs do not need to be included if the design environment focuses on schematiclevel design. In the technology dimension, FPGAs can be skipped as they may be included in a later course on more advanced design methods.

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