Convert 99 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 >= 99
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 99
Since 256 is greater than 99, 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 99 is 6
Multiplying this coefficient by our original value, we get: 6 * 16 = 96
Add our new value to our running total, we get:
0 + 96 = 96
This is <= 99, so we assign our outside coefficient of 6 for this digit.
Our new sum becomes 96
Our hexadecimal notation is now equal to 6
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 99 is 3
Multiplying this coefficient by our original value, we get: 3 * 1 = 3
Add our new value to our running total, we get:
96 + 3 = 99
This = 99, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 99
Our hexadecimal notation is now equal to 63
