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Convert 172 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 >= 172

16⁰ = 1

16¹ = 16

16² = 256 <--- Stop: This is greater than 172

Since 256 is greater than 172, 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 172 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 <= 172, 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 172 is 12

Multiplying this coefficient by our original value, we get: 12 * 1 = 12

Add our new value to our running total, we get:
160 + 12 = 172

Hexadecimal (10 - 15) are represented by an (A-F) where 12 translates to the letter C

This = 172, so we assign our outside coefficient of C for this digit.

Our new sum becomes 172

Our hexadecimal notation is now equal to AC

Final Answer