Answer
↓Steps Explained:↓
Convert 281 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 >= 281
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 281
Since 512 is greater than 281, 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 281 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 <= 281, 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 281 is 3
Multiplying this coefficient by our original value, we get: 3 * 8 = 24
Add our new value to our running total, we get:
256 + 24 = 280
This is <= 281, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 280
Our octal notation is now equal to 43
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 281 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
280 + 1 = 281
This = 281, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 281
Our octal notation is now equal to 431
Final Answer
We are done. 281 converted from decimal to octal notation equals 4318.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion