Abstract
This chapter uses the principles of Boolean algebra to simplify and manipulate logical equations and turn them into logical gate designs. It deals with truth tables to describe the behavior of a digital system in terms of the state of input variables and the resulting state of the output variables. The chapter discusses Karnaugh map to simplify the logical designs. It describes the physical attribute of logic signals, such as rise time, fall time, and pulse width. It expresses system clock signals in terms of frequency and period. Frequency and period have an inverse relationship to one another. The chapter manipulates time and frequency in terms of commonly used engineering units, such as Kilo, Mega, Giga, milli, micro, and nano. It discusses the logical operation of the type D flip-flop (D-FF), and describes the way binary counters, frequency dividers, shift registers, and storage registers can be built from D-FFs.
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