Answer
↓Steps Explained:↓
Convert 131 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 >= 131
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 131
Since 256 is greater than 131, 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 131 is 8
Multiplying this coefficient by our original value, we get: 8 * 16 = 128
Add our new value to our running total, we get:
0 + 128 = 128
This is <= 131, so we assign our outside coefficient of 8 for this digit.
Our new sum becomes 128
Our hexadecimal notation is now equal to 8
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 131 is 3
Multiplying this coefficient by our original value, we get: 3 * 1 = 3
Add our new value to our running total, we get:
128 + 3 = 131
This = 131, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 131
Our hexadecimal notation is now equal to 83
Final Answer
We are done. 131 converted from decimal to hexadecimal notation equals 8316.Take the Quiz Switch to Chat Mode
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