Logic Minimization

Boolean Algebra

Boolean algebra is perhaps the oldest method used to minimize logic equations. It provides a formal algebraic system to manipulate logic equations so that the minimum can be found. A basic understanding of this system is indispensable to the study and analysis of logic circuits.

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Logic Minimization

K-maps with Don't Cares

Situations can arise where a circuit has N input signals, but not all 2N combinations of inputs are possible. Or, if all 2N combinations of inputs are possible, some combinations might be irrelevant.

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Logic Minimization

Multiple Outputs

Circuits that have more complex inputs and outputs then we have previously discussed require less tedious and error prone methods of analysis. Here we will discuss how multiple output systems are analyzed.

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Resistance and Ohm's Law

In 1827, George Ohm demonstrated through a series of experiments that voltage, current, and resistance are related through a fundamental relationship: Voltage (V) is equal to Current (I) times resistance (R).

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Introduction to Electronic Circuits

Real Digital Project 1

This project presents a brief, non-rigorous introduction to electronic circuits and systems. Only the most essential concepts are presented, with emphasis on topics used in later projects. As with all projects in this module, a companion “Exercise1” document is available for further understanding.

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Logic Circuit Structure with an Introduction to Computer Aided Design (CAD) tools

Real Digital Project 3

This module presents the basic structure of combinational logic circuits, and introduces the use of computer aided design (CAD) tools in modern circuit design.

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Logic Minimization

Real Digital Project 4

The requirements for new logic circuit designs are often expressed in some loose, informal manner. For an informal behavioral description to result in an efficient, well designed circuit that meets the stated requirements, appropriate engineering design methods must be developed.

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Logic Circuit Structure

Project 3, Exercise 1

This Exercise is based on the material covered in Real Digital Project 3.

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Logic Minimization

Project 4, Exercise 2

This project exercise presents several worded problems that serve as behavioral specifications for digital circuits. Your job is to design, simulate, and download those circuits to your board. The topics from this exercise are based off of the material presented in Real Digital Project 4.

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