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Convert 225 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 >= 225

16⁰ = 1

16¹ = 16

16² = 256 <--- Stop: This is greater than 225

Since 256 is greater than 225, 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 225 is 14

Multiplying this coefficient by our original value, we get: 14 * 16 = 224

Add our new value to our running total, we get:
0 + 224 = 224

Hexadecimal (10 - 15) are represented by an (A-F) where 14 translates to the letter E

This is <= 225, so we assign our outside coefficient of E for this digit.

Our new sum becomes 224

Our hexadecimal notation is now equal to E

16⁰ = 1

The highest coefficient less than 15 we can multiply this by to stay under 225 is 1

Multiplying this coefficient by our original value, we get: 1 * 1 = 1

Add our new value to our running total, we get:
224 + 1 = 225

This = 225, so we assign our outside coefficient of 1 for this digit.

Our new sum becomes 225

Our hexadecimal notation is now equal to E1

Final Answer