D8EF hexadecimal to binary

Here we will show you how to convert the hexadecimal number D8EF 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 D8EF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D8EF by 16⁰, multiply the second to last digit in D8EF by 16¹, multiply the third to last digit in D8EF by 16², multiply the fourth to last digit in D8EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
8 × 16² = 2048
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:

15 + 224 + 2048 + 53248 = 55535

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.

55535 ÷ 2 = 27767 with 1 remainder
27767 ÷ 2 = 13883 with 1 remainder
13883 ÷ 2 = 6941 with 1 remainder
6941 ÷ 2 = 3470 with 1 remainder
3470 ÷ 2 = 1735 with 0 remainder
1735 ÷ 2 = 867 with 1 remainder
867 ÷ 2 = 433 with 1 remainder
433 ÷ 2 = 216 with 1 remainder
216 ÷ 2 = 108 with 0 remainder
108 ÷ 2 = 54 with 0 remainder
54 ÷ 2 = 27 with 0 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 D8EF hexadecimal to binary:

D8EF hexadecimal = 1101100011101111 binary

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