Convert 5 from decimal to hexadecimal
(base 16) notation:
Power Test
Raise our base of 16 to a power
Start at 0 and increasing by 1 until it is >= 5
160 = 1
161 = 16 <--- Stop: This is greater than 5
Since 16 is greater than 5, we use 1 power less as our starting point which equals 0
Build hexadecimal notation
Work backwards from a power of 0
We start with a total sum of 0:
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 5 is 5
Multiplying this coefficient by our original value, we get: 5 * 1 = 5
Add our new value to our running total, we get:
0 + 5 = 5
This = 5, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 5
Our hexadecimal notation is now equal to 5
Final Answer
We are done. 5 converted from decimal to hexadecimal notation equals 516.
Test Your Knowledge?
- Binary means base _?
- Octal means base _?
- Hexadecimal means base __?
What is the Answer?
We are done. 5 converted from decimal to hexadecimal notation equals 516.
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
