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10* - The Digital Abstraction

from PART II - COMBINATIONAL CIRCUITS

Published online by Cambridge University Press:  05 November 2012

Guy Even
Affiliation:
Tel-Aviv University
Moti Medina
Affiliation:
Tel-Aviv University
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Summary

The term a digital circuit refers to a device that works in a binary world. In the binary world, the only values are zeros and ones. In other words, the inputs of a digital circuit are zeros and ones, and the outputs of a digital circuit are zeros and ones. Digital circuits are usually implemented by electronic devices and operate in the real world. In the real world, there are no zeros and ones; instead, what matters is the voltages of inputs and outputs. Since voltages refer to energy, they are continuous (unless quantum physics is used). So we have a gap between the continuous real world and the two-valued binary world. One should not regard this gap as absurd. Digital circuits are only an abstraction of electronic devices. In this chapter, we explain this abstraction, called the digital abstraction.

In the digital abstraction, one interprets voltage values as binary values. The advantages of the digital model cannot be overstated; this model enables one to focus on the digital behavior of a circuit, to ignore analog and transient phenomena, and to easily build larger, more complex circuits out of small circuits. The digital model together with a simple set of rules, called design rules, enable logic designers to design complex digital circuits consisting of millions of gates that operate as expected.

TRANSISTORS

The basic building blocks of digital electronic circuits are transistors. The hierarchy starts with transistors, from which gates are built.

Type
Chapter
Information
Digital Logic Design
A Rigorous Approach
, pp. 133 - 144
Publisher: Cambridge University Press
Print publication year: 2012

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  • The Digital Abstraction
  • Guy Even, Tel-Aviv University, Moti Medina, Tel-Aviv University
  • Book: Digital Logic Design
  • Online publication: 05 November 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139226455.011
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  • The Digital Abstraction
  • Guy Even, Tel-Aviv University, Moti Medina, Tel-Aviv University
  • Book: Digital Logic Design
  • Online publication: 05 November 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139226455.011
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • The Digital Abstraction
  • Guy Even, Tel-Aviv University, Moti Medina, Tel-Aviv University
  • Book: Digital Logic Design
  • Online publication: 05 November 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139226455.011
Available formats
×