DFBC hexadecimal to binary

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

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

C × 16⁰ = 12
B × 16¹ = 176
F × 16² = 3840
D × 16³ = 53248

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:

12 + 176 + 3840 + 53248 = 57276

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.

57276 ÷ 2 = 28638 with 0 remainder
28638 ÷ 2 = 14319 with 0 remainder
14319 ÷ 2 = 7159 with 1 remainder
7159 ÷ 2 = 3579 with 1 remainder
3579 ÷ 2 = 1789 with 1 remainder
1789 ÷ 2 = 894 with 1 remainder
894 ÷ 2 = 447 with 0 remainder
447 ÷ 2 = 223 with 1 remainder
223 ÷ 2 = 111 with 1 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 DFBC hexadecimal to binary:

DFBC hexadecimal = 1101111110111100 binary

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DFBD hexadecimal to binary
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