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Convert 9 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 >= 9

16⁰ = 1

16¹ = 16 <--- Stop: This is greater than 9

Since 16 is greater than 9, we use 1 power less as our starting point which equals 0

Build hexadecimal notation

Work backwards from a power of 0

We start with a total sum of 0:

16⁰ = 1

The highest coefficient less than 15 we can multiply this by to stay under 9 is 9

Multiplying this coefficient by our original value, we get: 9 * 1 = 9

Add our new value to our running total, we get:
0 + 9 = 9

This = 9, so we assign our outside coefficient of 9 for this digit.

Our new sum becomes 9

Our hexadecimal notation is now equal to 9

Final Answer