Answer
↓Steps Explained:↓
Convert 106 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 >= 106
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 106
Since 256 is greater than 106, 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 106 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 <= 106, 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 106 is 10
Multiplying this coefficient by our original value, we get: 10 * 1 = 10
Add our new value to our running total, we get:
96 + 10 = 106
Hexadecimal (10 - 15) are represented by an (A-F) where 10 translates to the letter A
This = 106, so we assign our outside coefficient of A for this digit.
Our new sum becomes 106
Our hexadecimal notation is now equal to 6A
Final Answer
We are done. 106 converted from decimal to hexadecimal notation equals 6A16.Take the Quiz
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