Convert 20 from decimal to hexadecimal
(base 16) notation:
Power Test
Raise our base of 16 to a power
Start at 0 and increasing by 1 until it is >= 20
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 20
Since 256 is greater than 20, we use 1 power less as our starting point which equals 1
Build hexadecimal notation
Work backwards from a power of 1
We start with a total sum of 0:
161 = 16
The highest coefficient less than 15 we can multiply this by to stay under 20 is 1
Multiplying this coefficient by our original value, we get: 1 * 16 = 16
Add our new value to our running total, we get:
0 + 16 = 16
This is <= 20, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 16
Our hexadecimal notation is now equal to 1
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 20 is 4
Multiplying this coefficient by our original value, we get: 4 * 1 = 4
Add our new value to our running total, we get:
16 + 4 = 20
This = 20, so we assign our outside coefficient of 4 for this digit.
Our new sum becomes 20
Our hexadecimal notation is now equal to 14
