Answer
↓Steps Explained:↓
Convert 8 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 >= 8
80 = 1
81 = 8 <--- Stop: This is equal to 8
Since 8 is equal to 8, we use our current power 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 8 is 1
Multiplying this coefficient by our original value, we get: 1 * 8 = 8
Add our new value to our running total, we get:
0 + 8 = 8
This = 8, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 8
Our octal notation is now equal to 1
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 8 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
8 + 1 = 9
This is > 8, so we assign a 0 for this digit.
Our total sum remains the same at 8
Our octal notation is now equal to 10
Final Answer
We are done. 8 converted from decimal to octal notation equals 108.Take the Quiz
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