Intro To Number Bases
Hi all~J Welcome back~ Thanks for still following our post~ Today I will share about number bases~ What is number bases? ~ How many number bases got? ~ How to use number bases? ~ How to convert from 1 number bases to other number bases? ~ I will explain all this today ~ Keep follow us ok? J
Firstly, what is NUMBER BASES??
I definitely can define it as the number that is going to be raised to a power. Can’t understand? I will give an example ~ Example : in base 2 .. Number 2 is going to be raised to a power like this in 2^{0}2^{1}2^{2}2^{3}2^{4}, 8 is the base. So, got what is number bases?? If not lets through it one by one~
There were 4 number bases that i will shared today ~ base 2, base 8, base 10 and base 16.. Each base has their own name ~ base 2 is known as Binary number, base 8 is know as Octadecimal, base 10 is known as Decimal and base 16 is known as hexadecimal ~ Lets go through 1 by 1 bases J
Binary number (base 2)
Is actually represents numeric values using two numbers which is 0 and 1. Such as 10011012. Other than 0 and 1 cannot be represent as binary number.
Octadecimal number (base 8)
Is actually represents numeric values using number in range 07 only. Example : 4678 . More then that cannot be octadecimal number. Such as 4688 cannot be included as octadecimal number.
Decimal number (base 10)
Is actually represents numeric values using number in range 09 only. Example : 6910 .
Hexadecimal number (base 16)
Is actually represents numeric values using number of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A(10), B(11), C(12), D(13), E(14), F(15). Example : EA16 .
We actually can convert from a base to another base.. How? I will show you 1 by 1.
Binary to Decimal~
For example 101112 to Decimal:
Just follow this table
2^{4 }

2^{3}

2^{2 }

2^{1}

2^{0}

Now insert 101112 into the table:
2^{4 }

2^{3}

2^{2 }

2^{1}

2^{0}

1

0

1

1

1

Now take sum all the bases like this:
(1x2^{4})+(0x2^{3})+(1x2^{2}) +(1x2^{1}) +(1x2^{0})
= 16+0+4+2+1
=23_{10}
Decimal to Binary~
For example convert 357_{10} to binary . To do this conversion, I need to divide repeatedly by 2, keeping track of the remainders as I go. Watch below:
As you can see, after dividing repeatedly by 2, I ended up with these remainders: 101100101
These remainders tell me what the binary number is. I read the numbers from around the outside of the division, starting on top and wrapping my way around and down the righthand side. As you can see:
357_{10} converts to 101100101_{2}.
Hope today’s topic will help you know what is Number Bases .We will come back with more knowledge about this topic after this~ enjoy learning with us J
P/S: Next topic : converting bases (continued and more detail )
Admin : Muhammad Izzuddin bin Abdul Alim
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5 comments:
sy suke entry ini. mudah untuk difahami.
sangat membantu. tq admin adinaz
sy suke intro ni :)
how u do the animation picture? it cool babe !
you can use picasa man :)
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