Binary Math
Binary mathematics uses the numerals 0 and 1 to record values. This makes binary math difficult for most people but computers use binary to carry out all their operations.

 

Decimal - Binary Converter

Enter a Number from 0-1023      


Decimal - Binary Number Conversions

Decimal Binary Decimal Binary Decimal Binary
0 0 8 1000 0 0
1 1 9 1001 16 10000
2 10 10 1010 32 100000
3 11 11 1011 64 1000000
4 100 12 1100 128 10000000
5 101 13 1101 256 100000000
6 110 14 1110 512 1000000000
7 111 15 1111 1024 10000000000

 Binary Number Storage Capacity

In the decimal number system each number position can store 10 values, including 0. In the binary system, each number position can only store two values. As a results, binary numbers are larger than their decimal equivalents.

In the decimal system numbers go up by a factor of 10 as you add number positions. In binary, numbers increase by a factor of 2. The formula for this is:

Storage capacity = 2x - where x is the number of positions (bits).

Bits Values Bits Values
1 2 16 65,536
2 4 24
      16,777,216
3 8 32 4,294,967,296
4 16 64 1.84467E+19
5 32
128
3.40282E+38
6 64    
7 128    
8 256    

Last Update: 13/11/2009 by: Bill Richardson -

Conversion function created by Philip Tang.
Kinesiology Information Technology Services.