Answer
↓Steps Explained:↓
Convert 240 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 >= 240
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 240
Since 256 is greater than 240, 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 240 is 15
Multiplying this coefficient by our original value, we get: 15 * 16 = 240
Add our new value to our running total, we get:
0 + 240 = 240
Hexadecimal (10 - 15) are represented by an (A-F) where 15 translates to the letter F
This = 240, so we assign our outside coefficient of F for this digit.
Our new sum becomes 240
Our hexadecimal notation is now equal to F
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 240 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
240 + 1 = 241
This is > 240, so we assign a 0 for this digit.
Our total sum remains the same at 240
Our hexadecimal notation is now equal to F0
Final Answer
We are done. 240 converted from decimal to hexadecimal notation equals F016.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion