Answer
↓Steps Explained:↓
Convert 240 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 >= 240
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 240
Since 512 is greater than 240, 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 240 is 3
Multiplying this coefficient by our original value, we get: 3 * 64 = 192
Add our new value to our running total, we get:
0 + 192 = 192
This is <= 240, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 192
Our octal notation is now equal to 3
81 = 8
The highest coefficient less than 7 we can multiply this by to stay under 240 is 6
Multiplying this coefficient by our original value, we get: 6 * 8 = 48
Add our new value to our running total, we get:
192 + 48 = 240
This = 240, so we assign our outside coefficient of 6 for this digit.
Our new sum becomes 240
Our octal notation is now equal to 36
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 240 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
240 + 1 = 241
This is > 240, so we assign a 0 for this digit.
Our total sum remains the same at 240
Our octal notation is now equal to 360
Final Answer
We are done. 240 converted from decimal to octal notation equals 3608.Take the Quiz Switch to Chat Mode
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