Answer
↓Steps Explained:↓
Convert 204 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 >= 204
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 204
Since 256 is greater than 204, 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 204 is 12
Multiplying this coefficient by our original value, we get: 12 * 16 = 192
Add our new value to our running total, we get:
0 + 192 = 192
Hexadecimal (10 - 15) are represented by an (A-F) where 12 translates to the letter C
This is <= 204, so we assign our outside coefficient of C for this digit.
Our new sum becomes 192
Our hexadecimal notation is now equal to C
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 204 is 12
Multiplying this coefficient by our original value, we get: 12 * 1 = 12
Add our new value to our running total, we get:
192 + 12 = 204
Hexadecimal (10 - 15) are represented by an (A-F) where 12 translates to the letter C
This = 204, so we assign our outside coefficient of C for this digit.
Our new sum becomes 204
Our hexadecimal notation is now equal to CC
Final Answer
We are done. 204 converted from decimal to hexadecimal notation equals CC16.Take the Quiz Switch to Chat Mode
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