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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.

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