Binary and Non-Binary Operations

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: How to Perform Addition: Steps & Examples

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
Your next lesson will play in 10 seconds
  • 0:01 Mathematical Operations
  • 0:31 Binary & Non-Binary Operations
  • 1:20 Examples of Binary Operations
  • 3:21 Examples of Non-Binary…
  • 4:49 Lesson Summary
Add to Add to Add to

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Login or Sign up

Create an account to start this course today
Try it free for 5 days!
Create An Account
Lesson Transcript
Instructor: Artem Cheprasov
Binary and non-binary are two terms that might really scare you, much like an operation may scare you. But don't worry, this lesson is super fun and super easy. You'll learn the definitions of these terms and see examples of each.

Mathematical Operations

This lesson has nothing to do with surgery, although it has everything to do with two different operations. Mathematical operations of course. They are the binary and non-binary operations and unlike brain surgery, this lesson's operations aren't all that difficult to understand nor master. So, don't get a headache before we even begin here. This lesson will define and show you what a binary and non-binary operation is in math.

Binary and Non-Binary Operations

First, let's just simply define what a mathematical operation is. An operation is a mathematical process. Yep, that's the definition and it refers to processes like the ones you are really familiar with, such as addition, subtraction, multiplication and division. Next, let's define binary. Binary implies something that is made up of or indicates two, since 'bi' is a prefix that means two. Like a bicycle has two wheels.

Logically, if we put our definitions together, this means a binary operation is a mathematical process that uses two numbers to accomplish something. On the other hand, a non-binary operation is a mathematical process that only needs one number to accomplish something.

Examples of Binary Operations

Okay, with that really simple stuff out of the way, we're going to move on to some even simpler and funner stuff. Not sure if funner is a word, but, it is now. Not long ago, my Mom lent me $100. I gave my Mom $20 and then, another $80 a few days after that to pay her back. This means, I repaid her in full since $20 + $80 = $100. Addition is a type of binary operation since I used two different numbers ($20 and $80) to come up with my answer.

Outside my room now, I see a squirrel digging into the ground to find an acorn; the hole contains three acorns. The squirrel takes one acorn out; how many acorns are left in the hole? 3-1 = 2. Subtraction is a kind of binary operation since we clearly used two numbers to perform this operation. The numbers 3 and 1 that is.

Earlier this week, I went to a restaurant where I was trying to find out how much I should tip. I decided that the $10 meal deserved a 20% tip; so, to figure out how much I should tip in dollars, I multiplied $10 x 0.2 to come up with the answer of $2. Multiplication is another binary operation since I used $10 and 0.2 as my two numbers to accomplish this operation.

Later that same day, a few friends came over to my place and I cooked some of my famous grub. I had three friends over; on the stove, I had to split the entire meal into four different portions so we each had something to eat. This meant that I had to divide one whole pan full of food into 4 parts. ¼ = 0.25. Everyone got 25% of the food. Division is another example of a binary operation.

Examples of Non-Binary Operations

Okay, so now you've got binary operations down pat. Let's move on to examples of non-binary operations. Recall that these are operations where an answer can be figured out by using only one number as the input. Some great examples of this include:

  • Square roots

To unlock this lesson you must be a Study.com Member.
Create your account

Register for a free trial

Are you a student or a teacher?
I am a teacher
What is your educational goal?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back

Earning College Credit

Did you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it free for 5 days!
Create An Account