Digital Systems Introduction

Introduction

Interest Approach

  • We will begin our dive into digital systems by taking some readings on standard gages.

Learning Experiences

  • Students will learn the differences between digital and analog systems.
  • Students will be counting (up and down) in binary.
  • Students will be converting numbers from decimal to binary.
  • Students will be converting numbers from binary to decimal.

Sub-goals

  • This unit will serve as a refresher to using exponents.
  • Students will learn additional skills on their calculator.
Task

National Standards

Knowledge V SYSTEMS

  • Skills F Demonstrate an understanding of and be able to use electrical and electronic  engineering technologies
  • Performance element 4: Apply knowledge of AC and DC systems
  • Performance element 8: Identify the difference between analog and digital signals

Knowledge I ACADEMIC FOUNDATIONS

  • Skills B Apply and use algebraic, geometric and trigonometric relationships, characteristics, and properties to solve problems
  • Performance element 1: Identify whole numbers, decimals, and fractions.
  • Performance element 2: Demonstrate knowledge of basic arithmetic operations such as addition, subtraction, multiplication, and division.

Performance Objectives:

Using any notes but no calculator, students will be able to identify (select) properties of a digital system and convert (calculate) binary numbers to decimal numbers. Students are expected to be correct 75% of the time or more.

Process

1. Bell work

Please complete the following 4 question quiz (~5 minutes or less)

https://docs.google.com/forms/d/e/1FAIpQLSfYr3QkO4n1wRL0R8XXApJnr9HneanbphXlxF8iyxU-M-qYwQ/viewform?usp=sf_link

2. Lecture Video 1: Digital Systems Introduction

Here is the video lecture for digital systems (~10 minutes)

3. Digital Systems Comprehension Quiz:

Complete the following quiz about digital systems (~10 minutes)

https://docs.google.com/forms/d/e/1FAIpQLSfPr8w8Zm8f2VClz7dkSPzx4tjMDKZbNAxVo7EY39I9ojUq5Q/viewform?usp=sf_link

4. Video Lecture 2: Binary Numbers:

Here is the video lecture for binary numbers (~ 15 minutes)

5. Binary Numbers Quiz:

Complete the following quiz about binary numbers (~15 minutes)

https://docs.google.com/forms/d/e/1FAIpQLScle9aImnfU7CB2x9hi7dLXKkTh4NtLaAkgn7uFxrFliKX6Lw/viewform?usp=sf_link

6. Log out of all computers and make sure they are properly stored.

 

Conclusion

Additional Credit for Students:

Hand in a sheet counting from zero (0) to (63) in binary.  This will take six bits, so be sure to use leading zeros.

I've done the first four numbers for you:

000000 = 0

000001 = 1

000010 = 2

000011 = 3

 

Credits

References:

Textbooks:

Widmer, N. S., Moss, G. L., & Tocci, R. J. (2017). Digital Systems. Boston, MA: Pearson.

Websites:

Electronics Tutorials (Binary)

https://www.electronics-tutorials.ws/binary/bin_1.html

Beginner's Guide to Digital Electronics (Nuts and Volts)

https://www.nutsvolts.com/magazine/article/April2016_Beginner-Guide-to-Digital-Electronics

 

Teacher Page

Ryan Sondergeld