Base Change Conversions Calculator

Crop Image

×

Crop

Convert 44 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 >= 44

16⁰ = 1

16¹ = 16

16² = 256 <--- Stop: This is greater than 44

Since 256 is greater than 44, 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 44 is 2

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

Add our new value to our running total, we get:
0 + 32 = 32

This is <= 44, so we assign our outside coefficient of 2 for this digit.

Our new sum becomes 32

Our hexadecimal notation is now equal to 2

16⁰ = 1

The highest coefficient less than 15 we can multiply this by to stay under 44 is 12

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

Add our new value to our running total, we get:
32 + 12 = 44

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

This = 44, so we assign our outside coefficient of C for this digit.

Our new sum becomes 44

Our hexadecimal notation is now equal to 2C

Final Answer