Answer
↓Steps Explained:↓
Convert 286 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 >= 286
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 286
Since 512 is greater than 286, 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 286 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 <= 286, 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 286 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 <= 286, 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 286 is 6
Multiplying this coefficient by our original value, we get: 6 * 1 = 6
Add our new value to our running total, we get:
280 + 6 = 286
This = 286, so we assign our outside coefficient of 6 for this digit.
Our new sum becomes 286
Our octal notation is now equal to 436
Final Answer
We are done. 286 converted from decimal to octal notation equals 4368.Take the Quiz Switch to Chat Mode
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