Hexadecimal

Hexadecimal uses base 16 to count. Using our knowledge of bases and exponents we can construct a table to show the hexadecimal columns:

Of course if the second column is the number of 16s then we must devise some way of counting up to 16 using only 1 digit. To do this we use the letters A to F to represent the numbers 10 to 15:

We can then see that the hexadecimal number BC is calculated as

(B x 161) + (C x 160)

= (B x 16) + (C x 1)

= (11 x 16) + (12 x 1)

= 176 + 12

= 188

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