Answer
↓Steps Explained:↓
Convert 100 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 >= 100
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 100
Since 256 is greater than 100, 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 100 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 <= 100, 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 100 is 4
Multiplying this coefficient by our original value, we get: 4 * 1 = 4
Add our new value to our running total, we get:
96 + 4 = 100
This = 100, so we assign our outside coefficient of 4 for this digit.
Our new sum becomes 100
Our hexadecimal notation is now equal to 64
Final Answer
We are done. 100 converted from decimal to hexadecimal notation equals 6416.Take the Quiz
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