Answer
↓Steps Explained:↓
Convert 83 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 >= 83
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 83
Since 512 is greater than 83, 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 83 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 <= 83, 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 83 is 2
Multiplying this coefficient by our original value, we get: 2 * 8 = 16
Add our new value to our running total, we get:
64 + 16 = 80
This is <= 83, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 80
Our octal notation is now equal to 12
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 83 is 3
Multiplying this coefficient by our original value, we get: 3 * 1 = 3
Add our new value to our running total, we get:
80 + 3 = 83
This = 83, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 83
Our octal notation is now equal to 123
Final Answer
We are done. 83 converted from decimal to octal notation equals 1238.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion