Hexadecimal notation


Hexadecimal notation

As binary numbers get longer and longer, a new base had to be introduced: hexadecimal numbering.
The hexadecimal number system counts using base 16, so after the first 10 digits come the first six letters: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.

Decimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Hexadecimal 0 1 2 3 4 5 6 7 8 9 A B C D E F
Binary 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111

An example

The number 27 (in base 10) is, in base 16: 1*161 + 11*160 = 1*161 + B*160
that is, 1B in base 16.

The number FB3 (in base 16) is, in base 10: F*162 + B*161 + 3*160 = 3840 + 176 + 3 = 4019

A byte is converted into hexadecimal by splitting it into two groups of 4 bits each, each of which corresponds to a hexadecimal digit.

2 A D 5
0010 1010 1101 0101
Jean-François Pillou

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Latest update on October 16, 2008 at 09:43 AM by Jean-François Pillou.

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