Base Change Conversions Calculator

Crop Image

×

Crop

Convert 3 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 >= 3

8⁰ = 1

8¹ = 8 <--- Stop: This is greater than 3

Since 8 is greater than 3, 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 3 is 3

Multiplying this coefficient by our original value, we get: 3 * 1 = 3

Add our new value to our running total, we get:
0 + 3 = 3

This = 3, so we assign our outside coefficient of 3 for this digit.

Our new sum becomes 3

Our octal notation is now equal to 3

Final Answer