F0DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number F0DF 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 F0DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F0DF by 16⁰, multiply the second to last digit in F0DF by 16¹, multiply the third to last digit in F0DF by 16², multiply the fourth to last digit in F0DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
0 × 16² = 0
F × 16³ = 61440

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 + 0 + 61440 = 61663

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.

61663 ÷ 2 = 30831 with 1 remainder
30831 ÷ 2 = 15415 with 1 remainder
15415 ÷ 2 = 7707 with 1 remainder
7707 ÷ 2 = 3853 with 1 remainder
3853 ÷ 2 = 1926 with 1 remainder
1926 ÷ 2 = 963 with 0 remainder
963 ÷ 2 = 481 with 1 remainder
481 ÷ 2 = 240 with 1 remainder
240 ÷ 2 = 120 with 0 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 F0DF hexadecimal to binary:

F0DF hexadecimal = 1111000011011111 binary

Hexadecimal to Binary Converter
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