Switching Theory and Logic Design

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Switching Theory and Logic Design

Switching Theory and Logic Design

Switching theory and logic design provides mathematical foundations and tools for digital system design, which are an important part of research and development in almost every field of modern technology.

The immense complexity of modern digital systems means that they can only be processed with computer-aided design tools based on complex mathematical models.

The Fundamentals of Logic Design and Switching theory

Theory are designed to provide an easy-to-understand introduction to these mathematical techniques, which are the foundation of the design tools and are necessary to understand their functions and limitations.

Typical of many disciplines, a high level of abstraction can treat many methods and techniques in a unified way and provide a deep understanding of general topics. The downside is that if you don’t personally touch on the details, it is difficult to have an intuitive understanding of these technologies.

We try to combine these points of view by providing practical examples of these technologies while linking them to more general theories developed in parallel for the study.

For example, the use of vector space and group theory unifies the spectral interpretation of polynomials (Fourier type) and the graphical representation of logistic functions (decision graphs) and provides a new method for the optimization of logistic functions.

Therefore, Switching Theory and Logic Design Foundation discusses the basis of Switching theory and logic design from a slightly different perspective and introduces the connection between switching theory and related fields of signal processing and system theory. It also covers the core topics recommended in the IEEE/ACM curriculum for teaching and research in this field.

In addition, it also contains several elective parts to discuss the topics of future research work in the field.

Introduction to Switching Theory and Logic Design

To perform the logical operations required for computation, early computers relied on a large number of switches. This was true until the 1970s when early personal computers like the Altair ( Figure) began to appear. Pioneering computer scientists such as Claude Shannon recognized that using an isomorphism between computer circuits and boolean algebra could simplify the operation of these computers. At the time, the term Switching Theory was used. Logical gates realized through ever-smaller integrated circuits continue to perform the same functions as early computers but through purely electronic means.

Switching Theory and Logic Design, Logic Circuits and switching theory
Switching Theory and Logic Design (Altair Computer)

On-off switches are the most basic type of switching equipment. If the switch is closed /, current will flow through it, and if it is on / off, current will not flow through it. If we use 1 to represent ON and 0 to represent OFF, we can use Boolean expressions to describe the circuit that contains the switch, and the variable reflects the variable state of the switch or the variable bit through the gate.

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