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Convert 75 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 >= 75

16⁰ = 1

16¹ = 16

16² = 256 <--- Stop: This is greater than 75

Since 256 is greater than 75, 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 75 is 4

Multiplying this coefficient by our original value, we get: 4 * 16 = 64

Add our new value to our running total, we get:
0 + 64 = 64

This is <= 75, so we assign our outside coefficient of 4 for this digit.

Our new sum becomes 64

Our hexadecimal notation is now equal to 4

16⁰ = 1

The highest coefficient less than 15 we can multiply this by to stay under 75 is 11

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

Add our new value to our running total, we get:
64 + 11 = 75

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

This = 75, so we assign our outside coefficient of B for this digit.

Our new sum becomes 75

Our hexadecimal notation is now equal to 4B

Final Answer