Intro To Binary Numbers - Mechatronics


Students will understand the Binary (Base 2) Number system. They will know how to count in Binary. How to convert from Decimal 2 Binary. How to convert from Binary 2 Decimal. How to Add and Multiply in Binary. This lesson is the 1 of 4 in the Digital Logic Project, and leads to Building a Digital Logic System


Introduction: This lesson is designed to introduce students to the Binary (base 2) number system. They will know how to count in Binary.   How to convert from Decimal 2 Binary.  How to convert from Binary 2 Decimal.  They will know how to Add and Multiply in Binary.

Lesson Material and Sources: All my material here is Open Source and distributed with a Creative Commons License CC -by -nc -sa -3.0. (Note: Link to open source page) I have included all the presentations as PPT and PDF, but if you click on the links in the Lesson Activities, I link you to my source, where you will get access to the very latest version of my presentations and other collateral. I'm always making edits and improvements.  So use this material, edit this material, make new material. If you have any Questions or Feedback, please reach out.  I'm happy to help.

How I Teach This Lesson: I start by giving my students an Entry Ticket where they can spend 5-6 min looking at a site to give them an introduction to binary numbers.

Then I start the slide presentation, where I "Ham" it up, telling the students that I'm a Psychic and can read their minds.  I will let a student pick a number, and then click through the 6 slides and then "guess" their number.  Then I'll do it again with 3-4 more students as time allows.

Then I'll work through a lecture 20-30 min, and then work a few of the problems with the students, and then I'll let them review the slides and Entry Ticket web sites for about 5 min.  During this time I will walk around and make sure my students understand.

Then I point them to the Google Quiz and have them take #1 and #3.  then maybe the next day before I start the next lesson in this module, I'll have them take Quiz 2 and 4.

Good Luck, Have Fun.

Prior Knowledge: Students should have an understanding of how the Base 10 number system works.  How and why we carry when we count from 9 to 10 or 99 to 100. Understand the concept of the "One's", "Ten's" and "Hundred's" place values.

Other Useful CTE-ONLINE Resources: You might want to teach this lesson on the History of Numbering Systems (Designing an Electrical Logic Circuit Part 1) before you teach this lesson

There are a few other Lessons on CTE Online that you will want to take a look at too.

Lesson Times

120+ Minutes

Industries / Subjects / Grades

Industries / Pathways
  • Engineering & Architecture Engineering & Architecture
    • Engineering Technology
K-12 Subjects
  • Mathematics
    • Measurement & Data
    • Algebra
    • Geometry
  • Science
    • Physics
Grade Levels
  • 10
  • 11
  • 12

Standards and Objectives


California Math Common Core Standards (3)
California's 2013 CTE Standards (2)

Related Instructional Objectives (SWBAT...)

  • use the Base 2 number system to count in Binary.
  • convert numbers from Decimal to Binary and numbers from Binary to Decimal.
  • use the binary Addition and Mutiplication rules to Add and Multiply in Binary.

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