Convert 45 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 >= 45
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 45
Since 256 is greater than 45, we use 1 power less as our starting point which equals 1
Build hexadecimal notation
Work backwards from a power of 1
We start with a total sum of 0:
161 = 16
The highest coefficient less than 15 we can multiply this by to stay under 45 is 2
Multiplying this coefficient by our original value, we get: 2 * 16 = 32
Add our new value to our running total, we get:
0 + 32 = 32
This is <= 45, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 32
Our hexadecimal notation is now equal to 2
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 45 is 13
Multiplying this coefficient by our original value, we get: 13 * 1 = 13
Add our new value to our running total, we get:
32 + 13 = 45
Hexadecimal (10 - 15) are represented by an (A-F) where 13 translates to the letter D
This = 45, so we assign our outside coefficient of D for this digit.
Our new sum becomes 45
Our hexadecimal notation is now equal to 2D
Final Answer
We are done. 45 converted from decimal to hexadecimal notation equals 2D16.
Test Your Knowledge?
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What is the Answer?
We are done. 45 converted from decimal to hexadecimal notation equals 2D16.
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.
What 3 formulas are used for the Base Change Conversions Calculator?
Binary = Base 2
Octal = Base 8
Hexadecimal = Base 16
For more math formulas, check out our
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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
Example calculations for the Base Change Conversions Calculator
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