Convert 206 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 >= 206
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 206
Since 256 is greater than 206, 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 206 is 12
Multiplying this coefficient by our original value, we get: 12 * 16 = 192
Add our new value to our running total, we get:
0 + 192 = 192
Hexadecimal (10 - 15) are represented by an (A-F) where 12 translates to the letter C
This is <= 206, so we assign our outside coefficient of C for this digit.
Our new sum becomes 192
Our hexadecimal notation is now equal to C
The highest coefficient less than 15 we can multiply this by to stay under 206 is 14
Multiplying this coefficient by our original value, we get: 14 * 1 = 14
Add our new value to our running total, we get:
192 + 14 = 206
Hexadecimal (10 - 15) are represented by an (A-F) where 14 translates to the letter E
This = 206, so we assign our outside coefficient of E for this digit.
Our new sum becomes 206
Our hexadecimal notation is now equal to CE