Benjamin Cummings - Contemporary Logic Design by Randy H. Katz

By Randy H. Katz

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This is where behavioral representations play an important role. We examine them next. 7 Behaviors The behavioral description focuses on how the block behaves. Waveforms are a primitive form of behavioral description. Other, more sophisticated behavioral representations depend on specifications written in hardware description languages. Basic Concept The behavioral description focuses on block behavior. In a way, the waveform representation provides a primitive behavioral description, but the cause-and-effect relationships between inputs and outputs are not obvious from the waveforms.

Although there are certain analogies between OR and PLUS and between AND and MULTIPLY, the logic operations are not the same as the arithmetic operations. Complement is always applied first, followed by AND, followed by OR. We say that complement has the highest priority, followed by AND and then OR. Parentheses can be used to change the default order of evaluation. The default grouping of operations is illustrated by the following examples: Equivalence of Boolean Expressions and Truth Tables A Boolean expression can be readily derived from a truth table and vice versa.

When the 45-second clock tick arrives, new outputs are turned on: the N-S green lights go off, the yellow lights go on, and the E-W lights stay red. After another 15-second clock tick, N-S yellow goes off, N-S red goes on, E-W red goes off, and E-W green goes on. A similar sequence of events happens when the light configuration changes to N-S red, E-W green, and then to N-S red and E-W yellow. After this, the whole process repeats. Design Constraints At this point, you have a pretty good feeling about the function of the traffic light.

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