Answer
↓Steps Explained:↓
Convert 107 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 >= 107
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 107
Since 256 is greater than 107, 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 107 is 6
Multiplying this coefficient by our original value, we get: 6 * 16 = 96
Add our new value to our running total, we get:
0 + 96 = 96
This is <= 107, so we assign our outside coefficient of 6 for this digit.
Our new sum becomes 96
Our hexadecimal notation is now equal to 6
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 107 is 11
Multiplying this coefficient by our original value, we get: 11 * 1 = 11
Add our new value to our running total, we get:
96 + 11 = 107
Hexadecimal (10 - 15) are represented by an (A-F) where 11 translates to the letter B
This = 107, so we assign our outside coefficient of B for this digit.
Our new sum becomes 107
Our hexadecimal notation is now equal to 6B
Final Answer
We are done. 107 converted from decimal to hexadecimal notation equals 6B16.Take the Quiz Switch to Chat Mode
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