Convert 120 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 >= 120
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 120
Since 256 is greater than 120, 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 120 is 7
Multiplying this coefficient by our original value, we get: 7 * 16 = 112
Add our new value to our running total, we get:
0 + 112 = 112
This is <= 120, so we assign our outside coefficient of 7 for this digit.
Our new sum becomes 112
Our hexadecimal notation is now equal to 7
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 120 is 8
Multiplying this coefficient by our original value, we get: 8 * 1 = 8
Add our new value to our running total, we get:
112 + 8 = 120
This = 120, so we assign our outside coefficient of 8 for this digit.
Our new sum becomes 120
Our hexadecimal notation is now equal to 78
