Answer
↓Steps Explained:↓
Convert 254 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 >= 254
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 254
Since 256 is greater than 254, 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 254 is 15
Multiplying this coefficient by our original value, we get: 15 * 16 = 240
Add our new value to our running total, we get:
0 + 240 = 240
Hexadecimal (10 - 15) are represented by an (A-F) where 15 translates to the letter F
This is <= 254, so we assign our outside coefficient of F for this digit.
Our new sum becomes 240
Our hexadecimal notation is now equal to F
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 254 is 14
Multiplying this coefficient by our original value, we get: 14 * 1 = 14
Add our new value to our running total, we get:
240 + 14 = 254
Hexadecimal (10 - 15) are represented by an (A-F) where 14 translates to the letter E
This = 254, so we assign our outside coefficient of E for this digit.
Our new sum becomes 254
Our hexadecimal notation is now equal to FE
Final Answer
We are done. 254 converted from decimal to hexadecimal notation equals FE16.Take the Quiz Switch to Chat Mode
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