Base Change Conversions Calculator

Crop Image

×

Crop

Convert 50 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 >= 50

8⁰ = 1

8¹ = 8

8² = 64 <--- Stop: This is greater than 50

Since 64 is greater than 50, 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 50 is 6

Multiplying this coefficient by our original value, we get: 6 * 8 = 48

Add our new value to our running total, we get:
0 + 48 = 48

This is <= 50, so we assign our outside coefficient of 6 for this digit.

Our new sum becomes 48

Our octal notation is now equal to 6

8⁰ = 1

The highest coefficient less than 7 we can multiply this by to stay under 50 is 2

Multiplying this coefficient by our original value, we get: 2 * 1 = 2

Add our new value to our running total, we get:
48 + 2 = 50

This = 50, so we assign our outside coefficient of 2 for this digit.

Our new sum becomes 50

Our octal notation is now equal to 62

Final Answer