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Convert 59 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 >= 59

160 = 1

161 = 16

162 = 256 <--- Stop: This is greater than 59

Since 256 is greater than 59, 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 59 is 3

Multiplying this coefficient by our original value, we get: 3 * 16 = 48

Add our new value to our running total, we get:
0 + 48 = 48

This is <= 59, so we assign our outside coefficient of 3 for this digit.

Our new sum becomes 48

Our hexadecimal notation is now equal to 3

##### 160 = 1

The highest coefficient less than 15 we can multiply this by to stay under 59 is 11

Multiplying this coefficient by our original value, we get: 11 * 1 = 11

Add our new value to our running total, we get:
48 + 11 = 59

Hexadecimal (10 - 15) are represented by an (A-F) where 11 translates to the letter B

This = 59, so we assign our outside coefficient of B for this digit.

Our new sum becomes 59

Our hexadecimal notation is now equal to 3B

##### Final Answer

We are done. 59 converted from decimal to hexadecimal notation equals 3B16.

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