Welcome to the Treehouse Community

The Treehouse Community is a meeting place for developers, designers, and programmers of all backgrounds and skill levels to get support. Collaborate here on code errors or bugs that you need feedback on, or asking for an extra set of eyes on your latest project. Join thousands of Treehouse students and alumni in the community today. (Note: Only Treehouse students can comment or ask questions, but non-students are welcome to browse our conversations.)

Looking to learn something new?

Treehouse offers a seven day free trial for new students. Get access to thousands of hours of content and a supportive community. Start your free trial today.

Digital Literacy Computer Basics Computer Basics Binary

for each decimal over to the right is one so 00001 is 1 and 00010 is two. so wouldn't 000111 be 1+2+3=6?

just a little confused

2 Answers

Matt Coale
.a{fill-rule:evenodd;}techdegree seal-36
Matt Coale
Full Stack JavaScript Techdegree Graduate 17,883 Points

Brad Stoltey Good question! Binary can be a bit confusing to figure out, especially at first. Afterall, it's a language for the computers and humans are definitely NOT computers... To hopefully help you understand this a little better, let's look at how a binary counter iterates from 0 to 10:

We'll start with 8 bits (1 byte): 00000000

  • 0 = 00000000
  • 1 = 00000001
  • 2 = 00000010
  • 3 = 00000011
  • 4 = 00000100
  • 5 = 00000101
  • 6 = 00000110
  • 7 = 00000111
  • 8 = 00001000
  • 9 = 00001001
  • 10 = 00001010

As I said, binary can be tricky. Basically, the further that first 1 gets shifted to the left, the larger the number. For example, if we continue on from 10...

  • 11 = 00001011
  • 12 = 00001100
  • 13 = 00001101
  • 14 = 00001110
  • 15 = 00001111
  • 16 = 0001000

If you need any additional help explaining this better, here is a resource I found that goes in depth on how binary works and it might be able to help answer any of those questions.

Also, for kicks and giggles, here is a project I made years ago that might help you visualize how this works.

Hope that helps!

Jason Anders
Jason Anders
Treehouse Moderator 145,704 Points

Moderator Note: Changed reply from a Comment to an Answer, so post may record as being answered. Matt Coale if you could place future answer in the Answer section of the post. It makes it easier for the Community users to know when a question has been answered. It also allows for your answer to be upvoted by others or marked as Best Answers by the poster. The comment section is used when you request or require additional information from the the OP before being able to give an answer.

Thanks for contributing and participating in the Community!! :)

Jason -Treehouse Community Moderator :dizzy:

Steven Parker
Steven Parker
221,451 Points

You are correct that 00001 is 1 and 00010 is two. But 00100 is 4, so 1 + 2 + 4 = 7.