Convert 90 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 >= 90
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 90
Since 256 is greater than 90, 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 90 is 5
Multiplying this coefficient by our original value, we get: 5 * 16 = 80
Add our new value to our running total, we get:
0 + 80 = 80
This is <= 90, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 80
Our hexadecimal notation is now equal to 5
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 90 is 10
Multiplying this coefficient by our original value, we get: 10 * 1 = 10
Add our new value to our running total, we get:
80 + 10 = 90
Hexadecimal (10 - 15) are represented by an (A-F) where 10 translates to the letter A
This = 90, so we assign our outside coefficient of A for this digit.
Our new sum becomes 90
Our hexadecimal notation is now equal to 5A
