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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
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Matt Coale
Full Stack JavaScript Techdegree Graduate 17,868 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 145,561 Points

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Steven Parker
Steven Parker
212,147 Points

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