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