Answer
Steps Explained:
Convert 170 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 >= 170
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 170
Since 512 is greater than 170, 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 170 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 <= 170, 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 170 is 5
Multiplying this coefficient by our original value, we get: 5 * 8 = 40
Add our new value to our running total, we get:
128 + 40 = 168
This is <= 170, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 168
Our octal notation is now equal to 25
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 170 is 2
Multiplying this coefficient by our original value, we get: 2 * 1 = 2
Add our new value to our running total, we get:
168 + 2 = 170
This = 170, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 170
Our octal notation is now equal to 252
Final Answer
We are done. 170 converted from decimal to octal notation equals 2528.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion