Convert 43 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 >= 43
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 43
Since 256 is greater than 43, 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 43 is 2
Multiplying this coefficient by our original value, we get: 2 * 16 = 32
Add our new value to our running total, we get:
0 + 32 = 32
This is <= 43, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 32
Our hexadecimal notation is now equal to 2
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 43 is 11
Multiplying this coefficient by our original value, we get: 11 * 1 = 11
Add our new value to our running total, we get:
32 + 11 = 43
Hexadecimal (10 - 15) are represented by an (A-F) where 11 translates to the letter B
This = 43, so we assign our outside coefficient of B for this digit.
Our new sum becomes 43
Our hexadecimal notation is now equal to 2B
