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The Hexadecimal Numbering System

The hexadecimal numbering system is a way of counting that allows representation of quantities from zero to fifteen with a single digit. Hexadecimal numbering uses the digits 0-9 that we've all seen before, but adds the letters A-F to represent quantities ten to fifteen.
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Counting from one to fifteen, we would use these symbols:

1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
A common practice for pronouncing the digits A-F is to use the military system for letter names. The names for the digits A-F are able, baker, charley, dog, easy, and fox. These extra symbols can be written using either the upper or lower case alpha characters. The pronunciacion for this symbol
1cde
would be "one charley dog easy".

The digits also have positional value, just as they have in the decimal numbering system. The second position (from the right) indicates the number of sixteens in the number, and the third position (from the right) indicates a multiple of sixteen squared (two hundred fifty six). To convert this number

1cde
to decimal, we would perform this calculation:
1cde = (14 * 16^0) + (13 * 16^1) + (12 * 16^2) + (1 * 16^3)
= 14 + (13 * 16) + (12 * 256) + 4096
= 14 + 208 + 3072 + 4096
= 7390

Hexadecimal numbering is convenient for computer engineers because the value of each octet (byte) can be accurately represented with exactly two hexadecimal digits.

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