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- 1. 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?
- 2. 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.
- 3. There are 2 ways to identify this system: •Mostly, people use: 101001102 •But you can find also: 10100110B (Number is random)
- 4. Now, we'll take Decimal system. This system can uses 10 numbers. We all know that system, we use it every day in our lives. Can you say the numbers?
- 5. 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
- 6. Before we head on to the calculations, I must tell you very important thing. !Pronunciation! • Decimal: We don’t pronunce each number separately, but all together (I mean: 100 – we pronunce one hundred, not one-zero-zero 25 – twenty five, not two-five Etc. • EACH OTHER: 1002 – One-Zero-Zero in Binary 10102 – One-Zero-One-Zero in Binary 85AF16 – Eight-Five-A-F in Hexadecimal
- 7. Now, we’ll move on to calculating the numbers between systems (binary and decimal). Are you ready ? Let’s go!
- 8. Decimal -> Binary If 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 up to we reach 0. Don’t understand? So look at the picture below Remember! You must rewrite the result reverse!
- 9. Binary -> Decimal This 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