Answer
↓Steps Explained:↓
Convert 227 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 >= 227
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 227
Since 256 is greater than 227, 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 227 is 14
Multiplying this coefficient by our original value, we get: 14 * 16 = 224
Add our new value to our running total, we get:
0 + 224 = 224
Hexadecimal (10 - 15) are represented by an (A-F) where 14 translates to the letter E
This is <= 227, so we assign our outside coefficient of E for this digit.
Our new sum becomes 224
Our hexadecimal notation is now equal to E
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 227 is 3
Multiplying this coefficient by our original value, we get: 3 * 1 = 3
Add our new value to our running total, we get:
224 + 3 = 227
This = 227, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 227
Our hexadecimal notation is now equal to E3
Final Answer
We are done. 227 converted from decimal to hexadecimal notation equals E316.Take the Quiz Switch to Chat Mode
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