24DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 24DF 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 24DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 24DF by 16⁰, multiply the second to last digit in 24DF by 16¹, multiply the third to last digit in 24DF by 16², multiply the fourth to last digit in 24DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
4 × 16² = 1024
2 × 16³ = 8192

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 + 8192 = 9439

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.

9439 ÷ 2 = 4719 with 1 remainder
4719 ÷ 2 = 2359 with 1 remainder
2359 ÷ 2 = 1179 with 1 remainder
1179 ÷ 2 = 589 with 1 remainder
589 ÷ 2 = 294 with 1 remainder
294 ÷ 2 = 147 with 0 remainder
147 ÷ 2 = 73 with 1 remainder
73 ÷ 2 = 36 with 1 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 24DF hexadecimal to binary:

24DF hexadecimal = 10010011011111 binary

Hexadecimal to Binary Converter
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