Convert 130 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 >= 130
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 130
Since 256 is greater than 130, 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 130 is 8
Multiplying this coefficient by our original value, we get: 8 * 16 = 128
Add our new value to our running total, we get:
0 + 128 = 128
This is <= 130, so we assign our outside coefficient of 8 for this digit.
Our new sum becomes 128
Our hexadecimal notation is now equal to 8
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 130 is 2
Multiplying this coefficient by our original value, we get: 2 * 1 = 2
Add our new value to our running total, we get:
128 + 2 = 130
This = 130, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 130
Our hexadecimal notation is now equal to 82
