Convert 26 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 >= 26
80 = 1
81 = 8
82 = 64 <--- Stop: This is greater than 26
Since 64 is greater than 26, 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 26 is 3
Multiplying this coefficient by our original value, we get: 3 * 8 = 24
Add our new value to our running total, we get:
0 + 24 = 24
This is <= 26, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 24
Our octal notation is now equal to 3
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 26 is 2
Multiplying this coefficient by our original value, we get: 2 * 1 = 2
Add our new value to our running total, we get:
24 + 2 = 26
This = 26, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 26
Our octal notation is now equal to 32
