Answer
↓Steps Explained:↓
Convert 40 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 >= 40
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 40
Since 256 is greater than 40, 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 40 is 2
Multiplying this coefficient by our original value, we get: 2 * 16 = 32
Add our new value to our running total, we get:
0 + 32 = 32
This is <= 40, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 32
Our hexadecimal notation is now equal to 2
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 40 is 8
Multiplying this coefficient by our original value, we get: 8 * 1 = 8
Add our new value to our running total, we get:
32 + 8 = 40
This = 40, so we assign our outside coefficient of 8 for this digit.
Our new sum becomes 40
Our hexadecimal notation is now equal to 28
Final Answer
We are done. 40 converted from decimal to hexadecimal notation equals 2816.Take the Quiz
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