Binary Numbaz

Binary Numbaz

Computers work on the principle of number manipulation. Inside the computer, the numbers are represented in bits and bytes. For example, the number three is represented by a byte with bits 0 & 1 set; 00000011. This is numbering system using base 2. People commonly use a decimal or Base 10 numbering system. What this means is that in Base 10, count from 0 to 9 before adding another digit. The number 22 in Base 10 means we have 2 sets of 10’s and 2 sets of 1’s.

1 Bit = 8 Bytes

1024 Bytes = 1 Kilobyte

1024 Kilobytes = 1 Megabyte

1024 Megabytes = 1 Gigabyte

1024 Gigabytes = 1 Terabyte

1024 Terabytes = 1 Petabyte

Base 2 is also known as binary since there can only be two values for a specific digit; either a 0 = OFF or  1 = ON. You cannot have a number represented as 22 in binary notation. The decimal number 22 is represented in binary as 00010110 which by following the below chart breaks down to:

| 2^7 |   2^6 | 2^5  | 2^4 |  2^ 3  |  2^2  |  2^1  | 2^0 |

=          |  128 |   64  |  32  |  1  |     8    |    4    |    2   |    1  |

22 or 00010110:

All numbers representing 0 are not counted, 128, 64, 32, 8, 1 because 0 represents OFF

However, numbers representing 1 are counted, 16 + 4 + 2 = 22 because 1 represents ON

Decimal Values and Binary Equivalents chart:

Decimal	Binary
1	1
2	10
3	11
4	100
5	101
6	110
7	111
8	1000
9	1001
10	1010
16	10000
32	100000
64	1000000
100	1100100
256	100000000
512	1000000000
1000	1111110100
1024	10000000000

~ by spamnrice on December 12, 2008.