Answer
↓Steps Explained:↓
Convert 265 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 >= 265
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 265
Since 512 is greater than 265, 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 265 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 <= 265, 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 265 is 1
Multiplying this coefficient by our original value, we get: 1 * 8 = 8
Add our new value to our running total, we get:
256 + 8 = 264
This is <= 265, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 264
Our octal notation is now equal to 41
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 265 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
264 + 1 = 265
This = 265, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 265
Our octal notation is now equal to 411
Final Answer
We are done. 265 converted from decimal to octal notation equals 4118.Take the Quiz Switch to Chat Mode
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