Convert 148 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 >= 148
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 148
Since 256 is greater than 148, 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 148 is 9
Multiplying this coefficient by our original value, we get: 9 * 16 = 144
Add our new value to our running total, we get:
0 + 144 = 144
This is <= 148, so we assign our outside coefficient of 9 for this digit.
Our new sum becomes 144
Our hexadecimal notation is now equal to 9
The highest coefficient less than 15 we can multiply this by to stay under 148 is 4
Multiplying this coefficient by our original value, we get: 4 * 1 = 4
Add our new value to our running total, we get:
144 + 4 = 148
This = 148, so we assign our outside coefficient of 4 for this digit.
Our new sum becomes 148
Our hexadecimal notation is now equal to 94