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Binary Number System

Learn binary code

Learning the Binary Code System couldn't be easier with the system you are about to read.

Typically when trying to convert binary into numbers people refer to a chart of some sort to get their numbers. From now on you will be able to convert numbers into Binary and Binary into numbers within seconds.

 

What you need to learn is the Binary Code. Essentially all you need to do is memorize the numbers 1, 2, 4, 8, 16, 32, 64, 128, 256 etc... The pattern here is add the number to itself to get the next number. It's that easy. 1 plus 1 is 2. 2 + 2 is four, 4 + 4 is 8 etc...

The Binary Code is a series of 1's and 0's (ones and zeros).
A binary number looks like this: 110011

Remember those numbers I should you? 1, 2, 4, 8, 16 etc?

When you are learning the binary code, all I ask you to do is write the numbers in reverse. So:

  See how this is written? We start with 1, then 2, 4, 8, 16 etc and it is done right to left. This is important as it makes learning the Binary Number System a piece of cake.

 

Now what you need to do is image underneath the Binary Number System is putting either a 1 or a 0 (one or a zero) under each number, starting from the right to the left.

 

So if we were to put a 0 underneath the number 1 in the chart above, then a number 1 under number two above, then another 1 above number four we would have an image like this:

Where 1 1 0 is the Binary Number.

So how do we convert 110 into a number? Simple. Wherever there is a 1 add the numbers above it together. In this case add the 4 and 2 giving 6.

Therefore 110 in binary is 6 in decimal.

 

So how about doing this in reverse? What is 22 in binary? What we need to do is put a 1 underneath all the numbers that will allow us to add up to 22. We can't use 32 as it is over 22. We can use 16 and the numbers below. But we need to use the numbers until they add up to 22.

 

So let's try it.

16 + 8 = 24 so that brings us over 22 and we know then we can't use 8 next.

16 + 4 = 20. Ok so we are nearly there. 20 + 2 = 22 great we reached out number. So with the Binary Number System just mark off underneath the numbers a 1 wherever we used the number. Where we didn't use the number put a 0.

 So we can now see that the number 22 in Binary is equal to 10110.

 

Have a look at this webpage here for a Binary to Decimal Calculator. Learn the Binary Number System first, then give it a try!

 

Share your comments on this tutorial, over on the blog

 

Please note that this tutorial is not a complete resource on learning Binary conversions. There are other methods too and we do not accept responsibility for any problems that may arise out of you using this system.

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