Answer
↓Steps Explained:↓
Convert 114 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 >= 114
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 114
Since 512 is greater than 114, 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 114 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 <= 114, 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 114 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 <= 114, 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 114 is 2
Multiplying this coefficient by our original value, we get: 2 * 1 = 2
Add our new value to our running total, we get:
112 + 2 = 114
This = 114, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 114
Our octal notation is now equal to 162
Final Answer
We are done. 114 converted from decimal to octal notation equals 1628.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion