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Hexadecimal Numbers

Hexadecimal numbers are numbers represented in base $16$ , which means the digits $0,1,2,3,4,5,6,7,8,9,\text{A, B, C, D, E, F}$ instead of just $0$ - $9$ .

Just as in base $10$ , we have the $1$ s place, $10$ s place, $100$ s place, $1000$ s place, $\mathrm{10,000}$ s place, etc. (the powers of $10$ ), in base $16$ we have the $1$ s place, $16$ s place, $256$ s place, $4096$ s place, etc. (the powers of $16$ ).

In base $10$ , the number $13$ means one group of $10$ and $3$ ones.  In base $16$ , the number $13$ means one group of $16$ and $3$ ones.  (This would be equivalent to $19$ in base $10$ .)

Below we count up to $32$ in base $16$ :

Hexadecimal numbers are used extensively in computer science.