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Convert 175 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 >= 175

160 = 1

161 = 16

162 = 256 <--- Stop: This is greater than 175

Since 256 is greater than 175, 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 175 is 10

Multiplying this coefficient by our original value, we get: 10 * 16 = 160

Add our new value to our running total, we get:
0 + 160 = 160

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

This is <= 175, so we assign our outside coefficient of A for this digit.

Our new sum becomes 160

Our hexadecimal notation is now equal to A

##### 160 = 1

The highest coefficient less than 15 we can multiply this by to stay under 175 is 15

Multiplying this coefficient by our original value, we get: 15 * 1 = 15

Add our new value to our running total, we get:
160 + 15 = 175

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

This = 175, so we assign our outside coefficient of F for this digit.

Our new sum becomes 175

Our hexadecimal notation is now equal to AF