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Convert 36 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 >= 36

8⁰ = 1

8¹ = 8

8² = 64 <--- Stop: This is greater than 36

Since 64 is greater than 36, 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 36 is 4

Multiplying this coefficient by our original value, we get: 4 * 8 = 32

Add our new value to our running total, we get:
0 + 32 = 32

This is <= 36, so we assign our outside coefficient of 4 for this digit.

Our new sum becomes 32

Our octal notation is now equal to 4

8⁰ = 1

The highest coefficient less than 7 we can multiply this by to stay under 36 is 4

Multiplying this coefficient by our original value, we get: 4 * 1 = 4

Add our new value to our running total, we get:
32 + 4 = 36

This = 36, so we assign our outside coefficient of 4 for this digit.

Our new sum becomes 36

Our octal notation is now equal to 44

Final Answer