Answer
↓Steps Explained:↓
Convert 181 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 >= 181
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 181
Since 512 is greater than 181, we use 1 power less as our starting point which equals 2
Build octal notation
Work backwards from a power of 2
We start with a total sum of 0:
82 = 64
The highest coefficient less than 7 we can multiply this by to stay under 181 is 2
Multiplying this coefficient by our original value, we get: 2 * 64 = 128
Add our new value to our running total, we get:
0 + 128 = 128
This is <= 181, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 128
Our octal notation is now equal to 2
81 = 8
The highest coefficient less than 7 we can multiply this by to stay under 181 is 6
Multiplying this coefficient by our original value, we get: 6 * 8 = 48
Add our new value to our running total, we get:
128 + 48 = 176
This is <= 181, so we assign our outside coefficient of 6 for this digit.
Our new sum becomes 176
Our octal notation is now equal to 26
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 181 is 5
Multiplying this coefficient by our original value, we get: 5 * 1 = 5
Add our new value to our running total, we get:
176 + 5 = 181
This = 181, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 181
Our octal notation is now equal to 265
Final Answer
We are done. 181 converted from decimal to octal notation equals 2658.Take the Quiz
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