Convert 54 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 >= 54
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 54
Since 256 is greater than 54, we use 1 power less as our starting point which equals 1
Work backwards from a power of 1
We start with a total sum of 0:
The highest coefficient less than 15 we can multiply this by to stay under 54 is 3
Multiplying this coefficient by our original value, we get: 3 * 16 = 48
Add our new value to our running total, we get:
0 + 48 = 48
This is <= 54, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 48
Our hexadecimal notation is now equal to 3
The highest coefficient less than 15 we can multiply this by to stay under 54 is 6
Multiplying this coefficient by our original value, we get: 6 * 1 = 6
Add our new value to our running total, we get:
48 + 6 = 54
This = 54, so we assign our outside coefficient of 6 for this digit.
Our new sum becomes 54
Our hexadecimal notation is now equal to 36