44DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 44DF to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 44DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 44DF by 16⁰, multiply the second to last digit in 44DF by 16¹, multiply the third to last digit in 44DF by 16², multiply the fourth to last digit in 44DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
4 × 16² = 1024
4 × 16³ = 16384

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

15 + 208 + 1024 + 16384 = 17631

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

17631 ÷ 2 = 8815 with 1 remainder
8815 ÷ 2 = 4407 with 1 remainder
4407 ÷ 2 = 2203 with 1 remainder
2203 ÷ 2 = 1101 with 1 remainder
1101 ÷ 2 = 550 with 1 remainder
550 ÷ 2 = 275 with 0 remainder
275 ÷ 2 = 137 with 1 remainder
137 ÷ 2 = 68 with 1 remainder
68 ÷ 2 = 34 with 0 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 44DF hexadecimal to binary:

44DF hexadecimal = 100010011011111 binary

Hexadecimal to Binary Converter
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