Monday, 27 May 2013

Binary & Octal Numbering System



Binary Numbering System

Binary Number system is the way of Computer to communicate.
In a normal number system, Decimal is Ten (10), which is 0 to 9.
But in Binary, which is Bi mean two. So only 0 and zero.
In a Binary system, there is On and Off.
1 equal to On and 0 equal to Off.
For example : 1010110, equal to On, Off, On, Off, On, On and Off
To represent a number in Binary, we must make a power of 2 from the right side.
For example, 123. So at the first we make the table of 2 power:
128 | 64| 32 | 16 | 8 | 4 | 2 | 1
And then we fill it, according to the table.
128 | 64| 32 | 16 | 8 | 4 | 2 | 1
  0       1      1      1      1    0    1    1
So from 123, we get the binary number is 111011.
At this video, we only use 8 bit system. So its only from 1 until 128 as the maximum number



Link : http://www.youtube.com/watch?v=LwR2qVJof14




Octal Numbering System

Octal Numbering System is also called base 8 number system. Because it must be multiply or divide by 8.
So for the first, we make the table of 8 power from the right side. Which is:
512 | 64 | 8 | 1
We can freely fill the table. For example like this table,
| 512 | 64 | 8 | 1 |
               4     3    6
So the result is,  (4 x 64) + (3 x 8) + (6 x 1) =  286.
Or the other example is like this Table:
Decimal
Octal
0
0
 1
1
2
2
3
3
4
4
5
5
6
6
7
7
8
10
9
11
10
12
That’s is the converted number from decimal to octal. Which is from 0 to 7 has the same number.
But from 8 or more, it has a different number. Because we must fill it according to the table.



| DECKY RIDHO S | 112110107 |

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