Answer
↓Steps Explained:↓
Convert 37 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 >= 37
80 = 1
81 = 8
82 = 64 <--- Stop: This is greater than 37
Since 64 is greater than 37, we use 1 power less as our starting point which equals 1
Build octal notation
Work backwards from a power of 1
We start with a total sum of 0:
81 = 8
The highest coefficient less than 7 we can multiply this by to stay under 37 is 4
Multiplying this coefficient by our original value, we get: 4 * 8 = 32
Add our new value to our running total, we get:
0 + 32 = 32
This is <= 37, so we assign our outside coefficient of 4 for this digit.
Our new sum becomes 32
Our octal notation is now equal to 4
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 37 is 5
Multiplying this coefficient by our original value, we get: 5 * 1 = 5
Add our new value to our running total, we get:
32 + 5 = 37
This = 37, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 37
Our octal notation is now equal to 45
Final Answer
We are done. 37 converted from decimal to octal notation equals 458.Take the Quiz Switch to Chat Mode
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