Module 13: Digital Circuits 2

Folder description

Module 13 contains two lectures which present:

  1. Digital Circuits - Part 1 (13A)
  2. Digital Circuits - Part 2 (13B)

Click the Lectures link above to access the videos.

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Overview OverviewObjectives

Cell description

Overview

In this module we will examine combinations of basic gate logic components to provide the foundation for designing and analyzing digital circuits.  We will see that Boolean Algebra provides a useful construct for representing combinations of basic logic gates.  Boolean expressions (or functions) will be represented in tabular form called truth tables.  We will see equivalent implementations of the Boolean expression permitting one to simplify the Boolean expressions to achieve the most efficient circuit design.  DeMorgan’s Theorem and Karnaugh Maps or K-Maps will be covered.  The module concludes with an introduction to encoding and decoding using the 7 segment display as a representative translation of binary date to a decimal display for human interpretation.

Objectives

By the end of this module, you will be able to:

  • Create basic logic gate configurations that are equivalent to a Boolean expression and vice versa.
  • Manipulate Boolean expressions using basic Boolean operational properties to simplify the expression.
  • Apply DeMorgan’s Theorem to transform Boolean expressions.
  • Construct Boolean expressions involving sums of products or products of sum from a truth table.
  • Simplify a Boolean expression using Karnaugh Maps.
  • Demonstrate using logic gate circuits to control a seven segment display.
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Learning Guide

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Go to the module content and begin by downloading and reviewing the printed slide presentations. Then view the video presentation for a slide set.  You can stop the presentation or replay sections if necessary to gain a good understanding of the material.  Make any notes on your printed copy of the slides.  After completing a slide presentation go to the self-test section and complete the test.  This will reinforce the things you have learned and help you with any misunderstandings.  Repeat this process for the next slide presentation set until you have viewed all of slides in the module content. Prepare and participate in the online discussion. The discussion questions can be found in the Discussion section below. Complete this module by submitting the module assignment as a PDF document. Please post any questions to the Q & A section of the Discussion Board.

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Module 13 Discussion

Cell description

Click the Module 13 Discussion link above to access and participate in this week's discussion by responding to the prompts below.

Question 1What is an application that would benefit from a logic gate circuit?

Question 2Describe an example of an application of Boolean Algebra.

Question 3What is Binary-coded decimal?  Describe an application of binary-coded decimal.

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Module 13 Assignment

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Download the attached PDF which contains instructions for completing this assignment. Complete the assignment and submit your answers as a single PDF document by clicking the Module 13 Assignment link above.

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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p>Download the attached PDF which contains instructions for completing this assignment. 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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p>Download the attached PDF which contains instructions for completing this assignment. 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