Base Change Conversions Calculator
Convert 300 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 >= 300
160 = 1
161 = 16
162 = 256
163 = 4096 <--- Stop: This is greater than 300
Since 4096 is greater than 300, we use 1 power less as our starting point which equals 2
Build hexadecimal notation
Work backwards from a power of 2
We start with a total sum of 0:
162 = 256
The highest coefficient less than 15 we can multiply this by to stay under 300 is 1
Multiplying this coefficient by our original value, we get: 1 * 256 = 256
Add our new value to our running total, we get:
0 + 256 = 256
This is <= 300, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 256
Our hexadecimal notation is now equal to 1
161 = 16
The highest coefficient less than 15 we can multiply this by to stay under 300 is 2
Multiplying this coefficient by our original value, we get: 2 * 16 = 32
Add our new value to our running total, we get:
256 + 32 = 288
This is <= 300, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 288
Our hexadecimal notation is now equal to 12
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 300 is 12
Multiplying this coefficient by our original value, we get: 12 * 1 = 12
Add our new value to our running total, we get:
288 + 12 = 300
Hexadecimal (10 - 15) are represented by an (A-F) where 12 translates to the letter C
This = 300, so we assign our outside coefficient of C for this digit.
Our new sum becomes 300
Our hexadecimal notation is now equal to 12C
Final Answer
We are done. 300 converted from decimal to hexadecimal notation equals 12C16.
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What is the Answer?
We are done. 300 converted from decimal to hexadecimal notation equals 12C16.
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 2Octal = Base 8
Hexadecimal = Base 16
For more math formulas, check out our Formula Dossier
What 6 concepts are covered in the Base Change Conversions Calculator?
basebase change conversionsbinaryBase 2 for numbersconversiona number used to change one set of units to another, by multiplying or dividinghexadecimalBase 16 number systemoctalbase 8 number systemExample calculations for the Base Change Conversions Calculator
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