Convert 52 from decimal to octal
(base 8) notation:
Power Test
Raise our base of 8 to a power
Start at 0 and increasing by 1 until it is >= 52
80 = 1
81 = 8
82 = 64 <--- Stop: This is greater than 52
Since 64 is greater than 52, we use 1 power less as our starting point which equals 1
Build octal notation
Work backwards from a power of 1
We start with a total sum of 0:
81 = 8
The highest coefficient less than 7 we can multiply this by to stay under 52 is 6
Multiplying this coefficient by our original value, we get: 6 * 8 = 48
Add our new value to our running total, we get:
0 + 48 = 48
This is <= 52, so we assign our outside coefficient of 6 for this digit.
Our new sum becomes 48
Our octal notation is now equal to 6
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 52 is 4
Multiplying this coefficient by our original value, we get: 4 * 1 = 4
Add our new value to our running total, we get:
48 + 4 = 52
This = 52, so we assign our outside coefficient of 4 for this digit.
Our new sum becomes 52
Our octal notation is now equal to 64
