Base Change Conversions Calculator

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Convert 5 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 >= 5

8⁰ = 1

8¹ = 8 <--- Stop: This is greater than 5

Since 8 is greater than 5, 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 5 is 5

Multiplying this coefficient by our original value, we get: 5 * 1 = 5

Add our new value to our running total, we get:
0 + 5 = 5

This = 5, so we assign our outside coefficient of 5 for this digit.

Our new sum becomes 5

Our octal notation is now equal to 5

Final Answer

Tags:

• base change conversions
• base
• binary
• conversion
• hexadecimal
• octal