Answer
↓Steps Explained:↓
Convert 147 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 >= 147
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 147
Since 512 is greater than 147, 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 147 is 2
Multiplying this coefficient by our original value, we get: 2 * 64 = 128
Add our new value to our running total, we get:
0 + 128 = 128
This is <= 147, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 128
Our octal notation is now equal to 2
81 = 8
The highest coefficient less than 7 we can multiply this by to stay under 147 is 2
Multiplying this coefficient by our original value, we get: 2 * 8 = 16
Add our new value to our running total, we get:
128 + 16 = 144
This is <= 147, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 144
Our octal notation is now equal to 22
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 147 is 3
Multiplying this coefficient by our original value, we get: 3 * 1 = 3
Add our new value to our running total, we get:
144 + 3 = 147
This = 147, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 147
Our octal notation is now equal to 223
Final Answer
We are done. 147 converted from decimal to octal notation equals 2238.Take the Quiz Switch to Chat Mode
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