Hexadecimal Number Representations
Learn to represent numbers in a hexadecimal base system and why this number system is so useful.
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Hexadecimal representation (base sixteen)
If we can count up to sixteen, twelve stones fit in one group, but we need more symbols:
and for ten, eleven, twelve, thirteen, fourteen, and fifteen, respectively.
Examples:
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in hexadecimal representation (notation)
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Formulas:
Using the summation symbol, we have this formula:
Why are hexadecimal numbers used?
Consider a number written in binary notation: . Its equivalent in decimal notation is . We can decompose the number with binary coefficients as follows:
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