Convert 2 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 >= 2
80 = 1
81 = 8 <--- Stop: This is greater than 2
Since 8 is greater than 2, we use 1 power less as our starting point which equals 0
Build octal notation
Work backwards from a power of 0
We start with a total sum of 0:
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 2 is 2
Multiplying this coefficient by our original value, we get: 2 * 1 = 2
Add our new value to our running total, we get:
0 + 2 = 2
This = 2, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 2
Our octal notation is now equal to 2
Final Answer
We are done. 2 converted from decimal to octal notation equals 28.
