Convert 222 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 >= 222
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 222
Since 256 is greater than 222, 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 222 is 13
Multiplying this coefficient by our original value, we get: 13 * 16 = 208
Add our new value to our running total, we get:
0 + 208 = 208
Hexadecimal (10 - 15) are represented by an (A-F) where 13 translates to the letter D
This is <= 222, so we assign our outside coefficient of D for this digit.
Our new sum becomes 208
Our hexadecimal notation is now equal to D
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 222 is 14
Multiplying this coefficient by our original value, we get: 14 * 1 = 14
Add our new value to our running total, we get:
208 + 14 = 222
Hexadecimal (10 - 15) are represented by an (A-F) where 14 translates to the letter E
This = 222, so we assign our outside coefficient of E for this digit.
Our new sum becomes 222
Our hexadecimal notation is now equal to DE
