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Convert 296 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 >= 296

160 = 1

161 = 16

162 = 256

163 = 4096 <--- Stop: This is greater than 296

Since 4096 is greater than 296, we use 1 power less as our starting point which equals 2

##### Build hexadecimal notation

Work backwards from a power of 2

We start with a total sum of 0:

##### 162 = 256

The highest coefficient less than 15 we can multiply this by to stay under 296 is 1

Multiplying this coefficient by our original value, we get: 1 * 256 = 256

Add our new value to our running total, we get:
0 + 256 = 256

This is <= 296, so we assign our outside coefficient of 1 for this digit.

Our new sum becomes 256

Our hexadecimal notation is now equal to 1

##### 161 = 16

The highest coefficient less than 15 we can multiply this by to stay under 296 is 2

Multiplying this coefficient by our original value, we get: 2 * 16 = 32

Add our new value to our running total, we get:
256 + 32 = 288

This is <= 296, so we assign our outside coefficient of 2 for this digit.

Our new sum becomes 288

Our hexadecimal notation is now equal to 12

##### 160 = 1

The highest coefficient less than 15 we can multiply this by to stay under 296 is 8

Multiplying this coefficient by our original value, we get: 8 * 1 = 8

Add our new value to our running total, we get:
288 + 8 = 296

This = 296, so we assign our outside coefficient of 8 for this digit.

Our new sum becomes 296

Our hexadecimal notation is now equal to 128

##### Final Answer

We are done. 296 converted from decimal to hexadecimal notation equals 12816.

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