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.
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.
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
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.