CH13 - Digital Logic Circuits

# CH13 - Digital Logic Circuits - G Rizzoni Principles and...

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G. Rizzoni, Principles and Applications of Electrical Engineering Problem solutions, Chapter 13 13.1 Chapter 13 Instructor Notes Chapter 13 is a stand-alone chapter that does not require much more than a general introduction to the idea of analog and digital signals as a prerequisite. Thus, the chapter could be covered as early as desired. Some instructors may find it desirable to first introduce the basics of electronic switching circuits by covering the appropriate sections of Chapters 9-11. The first section introduces the ideas of analog and digital signals, and the concepts of sampling and quantization, in an intuitive fashion. Section 13.2 introduces the binary number system, and binary codes; the box Focus on Measurements: Digital Position Encoders (pp. 622-623) discusses optical position encoders of the type commonly encountered in many industrial applications (e.g., robotics). The third section presents the foundations of Boolean algebra, and defines the properties of logic gates; the box Focus on Measurements: Fail-safe Autopilot Logic (p. 629) illustrates a simple application of digital logic to motivate the content of the section from a more practical perspective. Combinational logic design through the use of Karnaugh maps is presented in section 13.4; the boxes Focus on Methodology: Sum-of- Products Realizations (p. 639) and Focus on Methodology: Products-of-Sums Realizations (p. 644) summarize design procedures for sum-of-products and product-of-sums circuits. The box Focus on Measurements: Safety Circuit for the Operation of a Stamping Press (pp. 646-648) demonstrates of the usefulness of even the simplest logic circuits in an industrial setting. A brief survey of digital logic could stop here, if desired. Section 13.5 describes more advanced combinational logic modules; The box Focus on Measurements: EPROM-based Look-up Table for Automotive Fuel Injection System Control (pp. 654-655) is centered around the air-to-fuel ratio control problem in an internal combustion engine, and illustrates a truly wide-spread application of digital logic, since this type of circuit is present in virtually every modern automobile. The end-of-chapter problems are divided into four sections. The first contains a few simple exercises related to number systems; the second section on combinational logic offers a selection of simple problems that are extensions of the examples given in the text, and also includes 5 applied problems (13. 19-13.23) that demonstrate the use of Boolean logic in five every-day situations. The third section covers logic design, and also includes a couple of problems with an applied flavor (13.38, 13.53), in addition to a variety of more traditional design problems. Problems 13.48 - 13.52 are related to number codes. The fourth section contains a few problems related to combinational logic modules.

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CH13 - Digital Logic Circuits - G Rizzoni Principles and...

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