# #43: Exploring Binary Numbers

01001101 01100001 01110100 01101000 00100000 01001101 01101001 01101110 01110101 01110100 01100101 01110011 00100000 01100001 01110010 01100101 00100000 01110010 01100101 01100001 01101100 01101100 01111001 00100000 01100011 01101111 01101111 01101100 00100001

No, I didn’t just type a bunch of random 0’s and 1’s above.  I actually typed a sentence into a binary translator site and had it converted to binary.  Our number system (Base 10), uses 10 digits…0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.  In the binary number system (Base 2), there are only 2 digits…0s and 1s.  It’s a little confusing at first, but once you get the hang of it, it can actually be quite fun!

How can you spend your Math Minutes this week?

• Research the Binary Number System and post a comment about something new you learned.  Your comment will not get approved and posted unless you cite the source of your information.  Remember when posting a comment, type your first name, grade, and school (i.e. Tyler, 5, Sunset).  Do not publish your email.
• Use the Binary Translator site to figure out what all those 1s and 0s up top mean.  Then come up with your own sentence to translate to 1s and 0s and post it as a comment.
• Watch this video where Instagram’s Kevin Systrom explains how binary numbers play into pixels and images.  There’s a LOT of information in this video and it goes fast.  Feel free pause it, re-watch it, etc.  Post a comment about something new you learned from the video.  On a related note, this learning opportunity has you exploring Pixel Art in Hopscotch.  Give it a try!
• This Khan Academy video gives an explanation of how to convert a Base 10 number to Binary (Base 2).  Watch it and then create your own video using Explain Everything.  Send your completed video to the EY Coordinator at your building.

There are 10 types of people in this world…

those who understand binary and those who don’t.

Hopefully after completing this Math Minute, you’ll “get” the joke!  🙂

## 33 thoughts on “#43: Exploring Binary Numbers”

1. Eliot 6 PL says:

I researched binary numbers on
http://www.mathsisfun.com/binary-number-system.html
I learned that the binary numbers go 0, 1, 10, 11, 100, 101, 110, 111, 1000, and so on! I’ll use 10 as an example of how they work: 0 is in the ones place so do 1×0. 1 is in the twos place so do 2×1. Now add them up to get 2!

Now let’s do a bigger number: 1101.101 do (1×1) + (2×0) + (4×1) + (8×1) + (1/2×1) + (1/4×0) + (1/8×1). This may seem hard, but the answer is 13.625.

The sentence was, “Math Minutes are really cool!”
01001101 01100001 01110100 01101000 00100000 01001101 01101001 01101110 01110101 01110100 01100101 01110011 00100000 01100001 01110010 01100101 00100000 01110010 01100101 01100001 01101100 01101100 01111001 00100000 01100011 01101111 01101111 01101100 00100001

In the video I learned how pixels work. I’d already had a basic idea, but this made it easier to understand. And those were my math minutes!

I learned that binary is 2 digits that can make a sentence and you cand do it for both numbers. You can multiply with them.

I figured that to.I learned that binary text by putting the bases which is 0,1,2,3,4,5,6,7,8 and 9 and those can make words like on the binary translator it tells you what the numbers mean which it says like Elliot said “math minutes are really cool!”

If you go to binary translator and type the numbers you will get Math minutes is cool.

Is this right

100010001000100100100100010
1000101000101000010

Zack-It is a bunch of 0s and 1s, but the order of them does matter when you’re trying to say something. For example, what you typed translated to “”IQB Type in a sentence at http://binarytranslator.com and then select the Text to Binary to copy and paste all the 0s and 1s.

6. I used mathisfun.com and learned that when you get bigger in binary numbers you add ones to the left and and zeroes or ones to the right. Like this 0 is 0, 1 is 1, 10 is 2 and eleven is 3. To get bigger you start back at zero and then add a 1 to the end to get 100.

Nice Kate! 🙂 Kind of crazy that it takes all those 0s and 1s to spell your name!

7. Nolan says:

Binary Numbers are super rad! I learned that this is the code laptops use!

8. My sentence is 01010000 01100001 01101110 01100100 01100001 01110011 00100000 01100101 01100001 01110100 00100000 01101111 01101100 01101001 01110110 01100101 00100000 01110000 01101001 01100101. Try and figure out what it means.

9. Charles H., 3, Sunset says:

In the video that is about Instagram I learned what resolution is. It is the dimension by witch you can measure how many pixels that are on a screan.

10. Math minutes are really cool! My name in binary is 01000010 01110010 01100101 01101110 01100100 01100001 01101110. I got this alphabet from convertbinary.com. Has anyone noticed that all the 8 digit number codes start with 0?

11. Nicholas says:

I learned binary code from my cousin and my grandma who was a math teacher for many many years. I actually have a shirt that has the joke.

12. Harrison, 4 Swanson says:

Wow I did not know that one pixel is represented by a bunch of smaller pixels.

13. Abby, Hillside, 6th says:

It translates to “Math Minutes are really cool!” I had never heard of the “binary number code” before. My name in binary code is—0100 0001 0100 0010 0100 0010 0111 1001
It would be cool really cool if you had secret messages that you needed to send, and out sent it with binary! Now I know a way to trick people into thinking they are just numbers

14. Dominic V, Oakdale says:

This was a tricky math minute but I learned that pixels are in numbers

15. Lance says:

Fun Math = 01000110 01110101 01101110 00100000 01101101 01100001 01110100 01101000 00001010

I get the joke 10 is 2 in binary.

17. Tae 6 Westbrook says:

I figured out that it translates to ‘Math Minutes are really cool!’
Here is mine to translate: 01001101 01100001 01110100 01101000 00100000 01101001 01110011 00100000 01100110 01110101 01101110 00100001 11110000 10011111 10011000 10000000

18. Saanvi 6, LL says:

I leraned that the Binary number system only made up with 0s and 1s.
To show how a number is binary, you just have to put a little two on the bottom.
Computers use binary numbers. These were some things I didn’t know and this is my binary:
01001001 00100000 01110111 01100001 01101110 01110100 00100000 01110100 01101111 00100000 01100111 01101111 00100000 01110100 01101111 01110100 01101000 01100101 00100000 01101101 01100001 01110100 01101000 00100000 01101101 01101001 01101110 01110101 01110100 01100101 00100000 01110011 01100101 01101101 01101001 01101110 01100001 01110010 00100001 00100001 00110001 .

http://www.mathsisfun.com/binary-number-system.html

19. Jack W. Swanson, 5 says:

The sentence: “Math minutes are really cool!”

20. Jack W. Swanson, 5 says:

Pixels only range from 0-255. 0 is dark and 255 is the color.
The number 255 also only has 8 bits or 1 byte.

21. Korissa, 5, Hillside says:

That video was awesome. I learned so much.

22. Peter C. 5 Prairie Lane says:

This is so cool! 01010100 01101000 01101001 01110011 00100000 01101001 01110011 00100000 01110011 01101111 00100000 01100011 01101111 01101111 01101100 00100001

23. Reece, 4, Westgate says:

01001001 00100000 01101100 01101001 01101011 01100101 00100000 01100110 01110010 01101001 01100101 01101110 01100100 01110011

24. Reece, 4, Westgate says:

I learned that pixels are acculturation made of blue red and green colors instead of the colors you a actually see.

25. 01001000 01101001 00100001 00100000 01001101 01111001 00100000 01101110 01100001 01101101 01100101 00100000 01101001 01110011 00100000 01010011 01100001 01110010 01100001 00100000 01000011 01101000 01100001 01110010 01101100 01100101 01110011 00100000 01010111 01100001 01110100 01100101 01110010 01110011 01110100 01110010 01100001 01100001 01110100 00100001 00100000 01001001 00100000 01100111 01101111 00100000 01110100 01101111 00100000 01010011 01110111 01100001 01101110 01110011 01101111 01101110 00100000 01000101 01101100 01100101 01101101 01100101 01101110 01110100 01100001 01110010 01111001 00100000 01100001 01101110 01100100 00100000 01101100 01101111 01110110 01100101 00100000 01110100 01101000 01100101 00100000 01001101 01100001 01110100 01101000 00100000 01001101 01101001 01101110 01110101 01110100 01100101 01110011 00100001

Can anyone figure that out?

26. Evan 3 Loveland says:

I leaned that binary numbers only consist of 0’s and 1’s and that converting decimals to binary makes you look for 2 to every power and you choose which one is below but closest. Then you see how many 8’s 16’s 4’s 2’s and1’s you have and put it in numerical order. Also my name in binary is, 0100010 01110110 01100001 00100000 00001101 = Evan

27. Evan 3 Loveland says:

can anyone figure this out?
01110100 01101000 01101001 01110011 0010000 01101101 01100001 01110100 01101000 00100000 01101101 01101001 01101110 01110101 01110100 01101000 00100000 01101101 01101001 0110111 01110101 01110100 01100101 00100000 01101001 01110011 00100000 01100001 01110111 0110101 0111011 01101111 01101101 01100101 00001101

28. Evan 3 Loveland says:

I get the joke 10 is 2 in binary