Answer
↓Steps Explained:↓
Convert 101 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 >= 101
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 101
Since 256 is greater than 101, 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 101 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 <= 101, 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 101 is 5
Multiplying this coefficient by our original value, we get: 5 * 1 = 5
Add our new value to our running total, we get:
96 + 5 = 101
This = 101, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 101
Our hexadecimal notation is now equal to 65
Final Answer
We are done. 101 converted from decimal to hexadecimal notation equals 6516.Take the Quiz
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