Convert 291 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 >= 291
160 = 1
161 = 16
162 = 256
163 = 4096 <--- Stop: This is greater than 291
Since 4096 is greater than 291, 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 291 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 <= 291, 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 291 is 2
Multiplying this coefficient by our original value, we get: 2 * 16 = 32
Add our new value to our running total, we get:
256 + 32 = 288
This is <= 291, so we assign our outside coefficient of 2 for this digit.
Our new sum becomes 288
Our hexadecimal notation is now equal to 12
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 291 is 3
Multiplying this coefficient by our original value, we get: 3 * 1 = 3
Add our new value to our running total, we get:
288 + 3 = 291
This = 291, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 291
Our hexadecimal notation is now equal to 123
