Convert 230 from decimal to hexadecimal
(base 16) notation:
Raise our base of 16 to a power
Start at 0 and increasing by 1 until it is >= 230
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 230
Since 256 is greater than 230, we use 1 power less as our starting point which equals 1
Work backwards from a power of 1
We start with a total sum of 0:
The highest coefficient less than 15 we can multiply this by to stay under 230 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 <= 230, so we assign our outside coefficient of E for this digit.
Our new sum becomes 224
Our hexadecimal notation is now equal to E
The highest coefficient less than 15 we can multiply this by to stay under 230 is 6
Multiplying this coefficient by our original value, we get: 6 * 1 = 6
Add our new value to our running total, we get:
224 + 6 = 230
This = 230, so we assign our outside coefficient of 6 for this digit.
Our new sum becomes 230
Our hexadecimal notation is now equal to E6