DFCD hexadecimal to binary

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

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

D × 16⁰ = 13
C × 16¹ = 192
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:

13 + 192 + 3840 + 53248 = 57293

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.

57293 ÷ 2 = 28646 with 1 remainder
28646 ÷ 2 = 14323 with 0 remainder
14323 ÷ 2 = 7161 with 1 remainder
7161 ÷ 2 = 3580 with 1 remainder
3580 ÷ 2 = 1790 with 0 remainder
1790 ÷ 2 = 895 with 0 remainder
895 ÷ 2 = 447 with 1 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 DFCD hexadecimal to binary:

DFCD hexadecimal = 1101111111001101 binary

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