Answer
↓Steps Explained:↓
Convert 259 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 >= 259
160 = 1
161 = 16
162 = 256
163 = 4096 <--- Stop: This is greater than 259
Since 4096 is greater than 259, 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 259 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 <= 259, 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 259 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 > 259, 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 259 is 3
Multiplying this coefficient by our original value, we get: 3 * 1 = 3
Add our new value to our running total, we get:
256 + 3 = 259
This = 259, so we assign our outside coefficient of 3 for this digit.
Our new sum becomes 259
Our hexadecimal notation is now equal to 103
Final Answer
We are done. 259 converted from decimal to hexadecimal notation equals 10316.Take the Quiz
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