Answer
↓Steps Explained:↓
Convert 273 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 >= 273
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 273
Since 512 is greater than 273, 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 273 is 4
Multiplying this coefficient by our original value, we get: 4 * 64 = 256
Add our new value to our running total, we get:
0 + 256 = 256
This is <= 273, so we assign our outside coefficient of 4 for this digit.
Our new sum becomes 256
Our octal notation is now equal to 4
81 = 8
The highest coefficient less than 7 we can multiply this by to stay under 273 is 2
Multiplying this coefficient by our original value, we get: 2 * 8 = 16
Add our new value to our running total, we get:
256 + 16 = 272
This is <= 273, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 272
Our octal notation is now equal to 42
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 273 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
272 + 1 = 273
This = 273, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 273
Our octal notation is now equal to 421
Final Answer
We are done. 273 converted from decimal to octal notation equals 4218.Take the Quiz
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