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# Master the Concepts of Digital Circuit Design

Gain the skills needed to implement your idea as a digital circuit.
Instructor:
1,844 students enrolled
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Understand the steps involved in designing a digital logic circuit
Boolean algebra problem solving skills
Understand the fundamentals of how a computer works
Computer hardware development skills
Ability to interpret existing digital logic circuits
Knowledge to be able to design your own digital logic circuits
Able to simulate and verify your own digital logic circuits

This course is designed to teach students how to design a digital logic circuit to perform a specific desired function. Taking this course will give students a much better understanding of how the internals of a computer work. This course has detailed lectures that talk about all the different logic gates used when designing digital logic circuits. In this course students will use MultiSIM BLUE which is a branch of National Instruments MultiSIM, collaborated with Mouser Electronics. MultiSIM BLUE is used to simulate the digital circuits students will design. This course covers how numbers are stored and represented in digital circuits. Students will learn how to work with negative numbers as well as the arithmetic skills to manipulate numbers in binary and hexadecimal form. This course covers the properties and rules regarding Boolean algebra and how these skills can be used to design a digital circuit. This course covers how digital circuits are designed and optimized so that they maintain functionality while reducing cost. This course covers several different optimization methods including Karnaugh maps, product of sums, sum of products, and the Quine-McCluskey method. There is a project included in this course that utilizes the concepts taught in this course to show students how these skills can be used in real world applications.

Course Structure:

This course is structured in such a way that each section is dedicated to a specific topic in regards to digital electronics. The lectures contained in each section describe in detail the different tools and techniques used to design digital logic circuits.

There are assignments throughout this course that students can use to put the theory taught to practical use. There are also solution videos that show the student just how to approach and solve the assignment if they are having difficulty.

This course contains quizzes that are used to determine whether or not the students fully understand the material. Successfully answering all the questions in the quizzes is a good way indicator letting students know that they understand that section well.

There is a project in this course that is used to help students understand the entire design process for a digital circuit.

### Introduction

1
Welcome to the course!!

An introduction to the course.

### MultiSIM BLUE

1
Introduction to MultiSIM BLUE

An introduction to the free circuit simulation tool we will use to simulate our digital designs.

2

3
MultiSIM BLUE Walkthrough

How to create a project in MultiSIM BLUE and demonstrating how the tool is laid out.

4
5
MultiSIM BLUE Tools

An interactive demonstration showing where the different tools in multisim blue are located.

### Binary Numbers

1
Binary Notation

An interactive demonstration showing how to denote and represent binary numbers. Also examples on how to convert binary numbers to and from decimal numbers.

2

An interactive demonstration showing how to denote and represent hexadecimal numbers. Also examples on how to convert hexadecimal numbers to and from decimal numbers.

3

An interactive demonstration showing how to perform addition operations on binary numbers.

4
Binary Subtraction

An interactive demonstration showing how to perform subtraction operations on binary numbers.

5
Binary Multiplication

An interactive demonstration showing how to perform multiplication operations on binary numbers.

6
Binary Division

An interactive demonstration showing how to perform division operations on binary numbers.

7
Negative Binary Numbers

This lecture covers how negative numbers are represented in computer systems using binary notation.

### Digital Logic Gates

1
Logic Gate Introduction

An introduction to logic gates and what they are used for.

2
AND Gate Demonstration

An explanation of the characteristics and properties of a logical AND gate.

3
AND Gate Simulation

A step by step interactive simulation of logical AND gates using MultiSIM BLUE.

4
OR Gate Demonstration

An explanation of the characteristics and properties of a logical OR gate.

5
OR Gate Simulation

A step by step interactive simulation of logical OR gates using MultiSIM BLUE.

6
BUFFER Gate Demonstration

An explanation of the characteristics and properties of a logical BUFFER gate.

7
BUFFER Gate Simulation

A step by step interactive simulation of logical buffer gates using MultiSIM BLUE.

8
Not (Inverter) Gate Demonstration

An explanation of the characteristics and properties of a logical NOT gate.

9
NOT Gate (Inverter) Simulation

A step by step interactive simulation of logical NOT (inverter) gates using MultiSIM BLUE.

10
NOR Gate Demonstration

An explanation of the characteristics and properties of a logical NOR gate.

11
NOR Gate Simulation

A step by step interactive simulation of logical NOR gates using MultiSIM BLUE.

12
XOR Gate Demonstration

An explanation of the characteristics and properties of a logical XOR gate.

13
XOR Gate Simulation

A step by step interactive simulation of logical XOR gates using MultiSIM BLUE.

14
XOR Gate Multiple Inputs

An explanation of the characteristics and properties of a logical XOR gate with multiple inputs.

15
NAND Gate Demonstration

An explanation of the characteristics and properties of a logical NAND gate.

16
NAND Gate Simulation

A step by step interactive simulation of logical NAND gates using MultiSIM BLUE.

17
XNOR Gate Demonstration

An explanation of the characteristics and properties of a logical XNOR gate.

18
XNOR Gate Simulation

A step by step interactive simulation of logical XNOR gates using MultiSIM BLUE.

19
XNOR Gate Multiple Inputs

An explanation of the characteristics and properties of a logical XNOR gate with multiple inputs.

20
Logic Gate Overview

### Digital Logic Gates Assignments

1
Multiple Logic Gates

An overview and example of how to solve truth tables when working with multiple logic gates.

2
Logic Gate Assignment 1

This is an assignment that will have you interpreting digital logic circuits that incorporate 1 or more logic gates.

3
Logic Gate Assignment 1 Solution

A step by step guide for solving Digital Logic Gates Assignment 1.

4
Logic Gates Assignment 2

This is an assignment that will have you interpreting digital logic circuits that incorporate 1 or more logic gates.

5
Logic Gate Assignment 2 Solution

A step by step guide for solving Digital Logic Gates Assignment 2.

### Boolean Algebra

1
Boolean Algebra Introduction
2
Laws of Boolean Algebra
3
Boolean Algebra Simplification
4
Derive Equations
5
Derive Equation from Circuit
6
Derive Circuit from Equation
7
Boolean Algebra Example
8
DeMorgan's Theorem
9
DeMorgans Theorem Example

### Standard Boolean Expressions

1
What is a Standard Boolean Algebra Expression?
2
Product of Sums Form
3
Sum of Products Form

### Karnaugh Maps

1
Introduction to Karnaugh Maps
2
K-Map Groupings
3
3 Input K-Map
4
4 Input K-Map
5
5 Input K-Map
6
Working with Don't Care Terms
7
K-Map Overview
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6 hours on-demand video