Answer
↓Steps Explained:↓
Convert 104 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 >= 104
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 104
Since 512 is greater than 104, 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 104 is 1
Multiplying this coefficient by our original value, we get: 1 * 64 = 64
Add our new value to our running total, we get:
0 + 64 = 64
This is <= 104, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 64
Our octal notation is now equal to 1
81 = 8
The highest coefficient less than 7 we can multiply this by to stay under 104 is 5
Multiplying this coefficient by our original value, we get: 5 * 8 = 40
Add our new value to our running total, we get:
64 + 40 = 104
This = 104, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 104
Our octal notation is now equal to 15
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 104 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
104 + 1 = 105
This is > 104, so we assign a 0 for this digit.
Our total sum remains the same at 104
Our octal notation is now equal to 150
Final Answer
We are done. 104 converted from decimal to octal notation equals 1508.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion