Convert 10 from decimal to hexadecimal
(base 16) notation:
Raise our base of 16 to a power
Start at 0 and increasing by 1 until it is >= 10
160 = 1
161 = 16 <--- Stop: This is greater than 10
Since 16 is greater than 10, we use 1 power less as our starting point which equals 0
Work backwards from a power of 0
We start with a total sum of 0:
The highest coefficient less than 15 we can multiply this by to stay under 10 is 10
Multiplying this coefficient by our original value, we get: 10 * 1 = 10
Add our new value to our running total, we get:
0 + 10 = 10
Hexadecimal (10 - 15) are represented by an (A-F) where 10 translates to the letter A
This = 10, so we assign our outside coefficient of A for this digit.
Our new sum becomes 10
Our hexadecimal notation is now equal to A