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Convert 128 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 >= 128

160 = 1

161 = 16

162 = 256 <--- Stop: This is greater than 128

Since 256 is greater than 128, 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 128 is 8

Multiplying this coefficient by our original value, we get: 8 * 16 = 128

Add our new value to our running total, we get:
0 + 128 = 128

This = 128, so we assign our outside coefficient of 8 for this digit.

Our new sum becomes 128

Our hexadecimal notation is now equal to 8

##### 160 = 1

The highest coefficient less than 15 we can multiply this by to stay under 128 is 1

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

Add our new value to our running total, we get:
128 + 1 = 129

This is > 128, so we assign a 0 for this digit.

Our total sum remains the same at 128

Our hexadecimal notation is now equal to 80

##### Final Answer

We are done. 128 converted from decimal to hexadecimal notation equals 8016.

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