Convert 236 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 >= 236
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 236
Since 256 is greater than 236, 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 236 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 <= 236, 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 236 is 12
Multiplying this coefficient by our original value, we get: 12 * 1 = 12
Add our new value to our running total, we get:
224 + 12 = 236
Hexadecimal (10 - 15) are represented by an (A-F) where 12 translates to the letter C
This = 236, so we assign our outside coefficient of C for this digit.
Our new sum becomes 236
Our hexadecimal notation is now equal to EC