C0FD hexadecimal to binary

Here we will show you how to convert the hexadecimal number C0FD 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 C0FD from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C0FD by 16⁰, multiply the second to last digit in C0FD by 16¹, multiply the third to last digit in C0FD by 16², multiply the fourth to last digit in C0FD by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
F × 16¹ = 240
0 × 16² = 0
C × 16³ = 49152

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 + 240 + 0 + 49152 = 49405

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.

49405 ÷ 2 = 24702 with 1 remainder
24702 ÷ 2 = 12351 with 0 remainder
12351 ÷ 2 = 6175 with 1 remainder
6175 ÷ 2 = 3087 with 1 remainder
3087 ÷ 2 = 1543 with 1 remainder
1543 ÷ 2 = 771 with 1 remainder
771 ÷ 2 = 385 with 1 remainder
385 ÷ 2 = 192 with 1 remainder
192 ÷ 2 = 96 with 0 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 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 C0FD hexadecimal to binary:

C0FD hexadecimal = 1100000011111101 binary

Hexadecimal to Binary Converter
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