Number Base ConverterThe decimal system is perhaps, the best known of the number systems. It got its name because it is a baseten system. The value of each place is ten times greater than the value of the place just to its right. A thousand is 10 times 100; a hundred is 10 times 10; ten is 10 times 1.For example, the value of 2,345 is:  
 
ie. 2x1000 + 3x100 + 4x10 + 5x1 = 2,345  
On the other hand, the computer uses the binary numbering system. Here, the value of each place is two times greater than the value of the place just to its right. Binary means two thus the system is represented by 0s and 1s.
An example, the value of 1001101 is:  
 
(64x1) + (32x0) + (16x0) + (8x1) + (4x1) + (2x0) + (1x1) = 77  
A similar procedure is followed for any other base:  
 
The base value of a number system is the number of different values the set has before repeating itself.
That means the higher the base the lower the number of digits required to represent a number. The reverse is inversely true; the lower the base, the higher the number of digits required to represent the number.
Below, input any decimal number; choose the base (up to 36); press "Get Results", to see the result.  
See also :::  
 
 
