DCF hexadecimal to binary

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

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

F × 16⁰ = 15
C × 16¹ = 192
D × 16² = 3328

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 + 192 + 3328 = 3535

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.

3535 ÷ 2 = 1767 with 1 remainder
1767 ÷ 2 = 883 with 1 remainder
883 ÷ 2 = 441 with 1 remainder
441 ÷ 2 = 220 with 1 remainder
220 ÷ 2 = 110 with 0 remainder
110 ÷ 2 = 55 with 0 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 DCF hexadecimal to binary:

DCF hexadecimal = 110111001111 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

DD0 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.