Convert 7 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 >= 7
80 = 1
81 = 8 <--- Stop: This is greater than 7
Since 8 is greater than 7, we use 1 power less as our starting point which equals 0
Build octal notation
Work backwards from a power of 0
We start with a total sum of 0:
80 = 1
The highest coefficient less than 7 we can multiply this by to stay under 7 is 7
Multiplying this coefficient by our original value, we get: 7 * 1 = 7
Add our new value to our running total, we get:
0 + 7 = 7
This = 7, so we assign our outside coefficient of 7 for this digit.
Our new sum becomes 7
Our octal notation is now equal to 7
Final Answer
We are done. 7 converted from decimal to octal notation equals 78.
Test Your Knowledge?
- Binary means base _?
- Octal means base _?
- Hexadecimal means base __?
What is the Answer?
We are done. 7 converted from decimal to octal notation equals 78.
How does the Base Change Conversions Calculator work?
Free Base Change Conversions Calculator - Converts a positive integer to Binary-Octal-Hexadecimal Notation or Binary-Octal-Hexadecimal Notation to a positive integer. Also converts any positive integer in base 10 to another positive integer base (Change Base Rule or Base Change Rule or Base Conversion)
This calculator has 3 inputs.
This calculator has 3 inputs.
What 3 formulas are used for the Base Change Conversions Calculator?
Binary = Base 2
Octal = Base 8
Hexadecimal = Base 16
Octal = Base 8
Hexadecimal = Base 16
What 6 concepts are covered in the Base Change Conversions Calculator?
- base
- base change conversions
- binary
- Base 2 for numbers
- conversion
- a number used to change one set of units to another, by multiplying or dividing
- hexadecimal
- Base 16 number system
- octal
- base 8 number system
