Convert 258 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 >= 258
160 = 1
161 = 16
162 = 256
163 = 4096 <--- Stop: This is greater than 258
Since 4096 is greater than 258, we use 1 power less as our starting point which equals 2
Build hexadecimal notation
Work backwards from a power of 2
We start with a total sum of 0:
162 = 256
The highest coefficient less than 15 we can multiply this by to stay under 258 is 1
Multiplying this coefficient by our original value, we get: 1 * 256 = 256
Add our new value to our running total, we get:
0 + 256 = 256
This is <= 258, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 256
Our hexadecimal notation is now equal to 1
161 = 16
The highest coefficient less than 15 we can multiply this by to stay under 258 is 1
Multiplying this coefficient by our original value, we get: 1 * 16 = 16
Add our new value to our running total, we get:
256 + 16 = 272
This is > 258, so we assign a 0 for this digit.
Our total sum remains the same at 256
Our hexadecimal notation is now equal to 10
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 258 is 2
Multiplying this coefficient by our original value, we get: 2 * 1 = 2
Add our new value to our running total, we get:
256 + 2 = 258
This = 258, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 258
Our hexadecimal notation is now equal to 102
