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 aremore numbers – that’s not binary system.

There are 2 ways to identify this system:

•Mostly, people use: 101001102

•But you can find also: 10100110B

Now, we'll take Decimal system.

This system can uses 10 numbers. We allknow that system, we use it every day inour 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 atthis:

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 numberseparately, 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 Binary

10102 – One-Zero-One-Zero in Binary

85AF16 – Eight-Five-A-F in Hexadecimal

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

Are you ready? Let’s go!

Decimal -> BinaryIf we have number 112 and we want to write it inbinary, we must divide 112 by 2 (because we use binarysystem), and then the result of dividing divide again and again up to 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 have number

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