Answer
↓Steps Explained:↓
Convert 121 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 >= 121
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 121
Since 512 is greater than 121, 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 121 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 <= 121, 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 121 is 7
Multiplying this coefficient by our original value, we get: 7 * 8 = 56
Add our new value to our running total, we get:
64 + 56 = 120
This is <= 121, so we assign our outside coefficient of 7 for this digit.
Our new sum becomes 120
Our octal notation is now equal to 17
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 121 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
120 + 1 = 121
This = 121, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 121
Our octal notation is now equal to 171
Final Answer
We are done. 121 converted from decimal to octal notation equals 1718.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion