How do I convert hexadecimal to denary?
Hexadecimal is a base 16 number. This means that it contains 16 numbers in each column instead of 10 like in the decimal number system.
Instead of writing 10 – 15 in the units column (0-15 is 16 numbers) hexadecimal substitutes letters from 10 to 15.
10 = A
11 = B
12 = C
13 = D
14 = E
15 = F
In our “units” column (the furthest right) numbers 0 to 9 are the same in hexadecimal as they are in decimal / denary.
Numbers 10 to 15 are converted into letters A to F.
In our second column (the one on the left) we must multiply the value by 16 as this is similar to our 10s column in denary.
If there is a number in the second column we simply multiply it by 16. If there is a letter in the second column we substitute the appropriate number (10-15) for the letter and multiply by 16.
The numbers from column 1 and column 2 are then added together to get our total.
Convert the following hexadecimal number to denary / decimal:
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