Answer
↓Steps Explained:↓
Convert 118 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 >= 118
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 118
Since 512 is greater than 118, 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 118 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 <= 118, 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 118 is 6
Multiplying this coefficient by our original value, we get: 6 * 8 = 48
Add our new value to our running total, we get:
64 + 48 = 112
This is <= 118, so we assign our outside coefficient of 6 for this digit.
Our new sum becomes 112
Our octal notation is now equal to 16
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 118 is 6
Multiplying this coefficient by our original value, we get: 6 * 1 = 6
Add our new value to our running total, we get:
112 + 6 = 118
This = 118, so we assign our outside coefficient of 6 for this digit.
Our new sum becomes 118
Our octal notation is now equal to 166
Final Answer
We are done. 118 converted from decimal to octal notation equals 1668.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion