Answer
↓Steps Explained:↓
Convert 31 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 >= 31
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 31
Since 256 is greater than 31, 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 31 is 1
Multiplying this coefficient by our original value, we get: 1 * 16 = 16
Add our new value to our running total, we get:
0 + 16 = 16
This is <= 31, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 16
Our hexadecimal notation is now equal to 1
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 31 is 15
Multiplying this coefficient by our original value, we get: 15 * 1 = 15
Add our new value to our running total, we get:
16 + 15 = 31
Hexadecimal (10 - 15) are represented by an (A-F) where 15 translates to the letter F
This = 31, so we assign our outside coefficient of F for this digit.
Our new sum becomes 31
Our hexadecimal notation is now equal to 1F
Final Answer
We are done. 31 converted from decimal to hexadecimal notation equals 1F16.Take the Quiz
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