Answer
↓Steps Explained:↓
Convert 219 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 >= 219
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 219
Since 256 is greater than 219, 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 219 is 13
Multiplying this coefficient by our original value, we get: 13 * 16 = 208
Add our new value to our running total, we get:
0 + 208 = 208
Hexadecimal (10 - 15) are represented by an (A-F) where 13 translates to the letter D
This is <= 219, so we assign our outside coefficient of D for this digit.
Our new sum becomes 208
Our hexadecimal notation is now equal to D
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 219 is 11
Multiplying this coefficient by our original value, we get: 11 * 1 = 11
Add our new value to our running total, we get:
208 + 11 = 219
Hexadecimal (10 - 15) are represented by an (A-F) where 11 translates to the letter B
This = 219, so we assign our outside coefficient of B for this digit.
Our new sum becomes 219
Our hexadecimal notation is now equal to DB
Final Answer
We are done. 219 converted from decimal to hexadecimal notation equals DB16.Take the Quiz
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