Convert 13 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 >= 13
80 = 1
81 = 8
82 = 64 <--- Stop: This is greater than 13
Since 64 is greater than 13, 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 13 is 1
Multiplying this coefficient by our original value, we get: 1 * 8 = 8
Add our new value to our running total, we get:
0 + 8 = 8
This is <= 13, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 8
Our octal notation is now equal to 1
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 13 is 5
Multiplying this coefficient by our original value, we get: 5 * 1 = 5
Add our new value to our running total, we get:
8 + 5 = 13
This = 13, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 13
Our octal notation is now equal to 15
