Answer
↓Steps Explained:↓
Convert 171 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 >= 171
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 171
Since 512 is greater than 171, 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 171 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 <= 171, 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 171 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 <= 171, 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 171 is 3
Multiplying this coefficient by our original value, we get: 3 * 1 = 3
Add our new value to our running total, we get:
168 + 3 = 171
This = 171, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 171
Our octal notation is now equal to 253
Final Answer
We are done. 171 converted from decimal to octal notation equals 2538.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion