Online Converter From Decimal to Binary, Octal and Hexadecimal

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A number N may be written in any base B as follows
N = a0 + a1 B 1 + a2 B 2 +...+ak B k
where any of the coefficient ai has a value such that

0 ≤ ai < B


The bases that are used in computing are:

Decimal or (denary) base 10 , binary base 2, octal base 8 and hexadecimal base 16.


Example 1: Base 10

This base uses all digits from 0 to 9

3234 = 4 + 3×101 + 2×102 + 3×103

Example 2: Base 2 (binary)

This base uses the digits 0 and 1

110110 = 0 + 1×21 + 1×22 + 0×23 + 1×24 + 1×25

Example 3: Base 8 (octal)

This base uses the digits 0 to 7

2674 = 4 + 7×81 + 6×82 + 2×83

Example 4: Base 16 (hexadecimal)

This base uses the folllowing as digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

with A = 10, B = 11, C = 12, D = 13, E = 14 and F = 15.

A67B = B + 7×81 + 6×82 + A×83 = 11+ 7×81 + 6×82 + (10)×83


ONLINE CONVERTER

Enter Non Negative Integer (Base 10):    




   
   
   



Books and References

1 - 1+ 1 = 10 Computer Number Bases: Computer Math Series (Computer Mathematics Series) - by William Parks , Albert Fadell (Editor)
2 - en.wikibooks.org/wiki/A-level_Computing_2009/AQA/Problem_Solving,_Programming,_Data_Representation_and_Practical_Exercise/Fundamentals_of_Data_Representation/Binary_number_system
3 - en.wikipedia.org/wiki/Binary_number
4 - en.wikipedia.org/wiki/Hexadecimal