Convert 64 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 >= 64
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 64
Since 256 is greater than 64, 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 64 is 4
Multiplying this coefficient by our original value, we get: 4 * 16 = 64
Add our new value to our running total, we get:
0 + 64 = 64
This = 64, so we assign our outside coefficient of 4 for this digit.
Our new sum becomes 64
Our hexadecimal notation is now equal to 4
The highest coefficient less than 15 we can multiply this by to stay under 64 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
64 + 1 = 65
This is > 64, so we assign a 0 for this digit.
Our total sum remains the same at 64
Our hexadecimal notation is now equal to 40