Base Change Conversions Calculator
Answer
↓Steps Explained:↓
Convert 234 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 >= 234
80 = 1
81 = 8
82 = 64
83 = 512 <--- Stop: This is greater than 234
Since 512 is greater than 234, 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 234 is 3
Multiplying this coefficient by our original value, we get: 3 * 64 = 192
Add our new value to our running total, we get:
0 + 192 = 192
This is <= 234, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 192
Our octal notation is now equal to 3
81 = 8
The highest coefficient less than 7 we can multiply this by to stay under 234 is 5
Multiplying this coefficient by our original value, we get: 5 * 8 = 40
Add our new value to our running total, we get:
192 + 40 = 232
This is <= 234, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 232
Our octal notation is now equal to 35
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 234 is 2
Multiplying this coefficient by our original value, we get: 2 * 1 = 2
Add our new value to our running total, we get:
232 + 2 = 234
This = 234, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 234
Our octal notation is now equal to 352
Final Answer
We are done. 234 converted from decimal to octal notation equals 3528.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion