Convert 53 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 >= 53
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 53
Since 256 is greater than 53, 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 53 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 <= 53, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 48
Our hexadecimal notation is now equal to 3
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 53 is 5
Multiplying this coefficient by our original value, we get: 5 * 1 = 5
Add our new value to our running total, we get:
48 + 5 = 53
This = 53, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 53
Our hexadecimal notation is now equal to 35
