On the first front, we'll take Binary system.

This system can use only 2 numbers (that's why it's called 'base-2 numeral system'). Can you say what are the numbers?

If you said 1 and 2 – I’m sorry, you failed :P

Each system use numbers from 0 (!) not from 1.

Binary system uses 0 and 1. If there are more numbers –that’s not binary system.

There are 2 ways to identify this system:

•Mostly, people use: 101001102

•But you can find also: 10100110B

(Number is random)

Now, we'll take Decimal system.

This system can uses 10 numbers. We all know thatsystem, we use it every day in our lives. Can you say the numbers?

If you said 0-9, you’re right!

We don’t use any signs to indetify this numer system (well, that’s metod – there’s no signs :P).

If you don’t know what I mean by ‘signs’, look at this:

8310AF16 ‘Signs’1001012

2858

2013 See? There’s no sign

Before we head on to the calculations, I must tell youvery important thing.

!Pronunciation!• Decimal: We don’t pronunce each number separately, but all together (I mean:100 – we pronunce one hundred, not one-zero-zero25 – twenty five, not two-fiveEtc.

• EACH OTHER:1002 – One-Zero-Zero in Binary10102 – One-Zero-One-Zero in Binary85AF16 – Eight-Five-A-F in Hexadecimal

Now, we’ll move on to calculating the numbers betweensystems (binary and decimal).

Are you ready? Let’s go!

Decimal -> BinaryIf we have number 112 and we want to write it in binary, we must divide 112 by 2 (because we use binary system), and then the result of dividing divide again and again upto we reach 0.

Don’t understand? So look at the picture below

Remember!

You must rewrite theresult reverse!

Binary -> DecimalThis thing may be little bit harder for you. We havenumber 100102 and we want write this in decimal system. How to do that:1. Number the numbers start from 0 (number them

from right side to left side)2. And now look at the picture, cause I have no idea

how to explain this :P