DDE8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DDE8 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 DDE8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DDE8 by 16⁰, multiply the second to last digit in DDE8 by 16¹, multiply the third to last digit in DDE8 by 16², multiply the fourth to last digit in DDE8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
E × 16¹ = 224
D × 16² = 3328
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:

8 + 224 + 3328 + 53248 = 56808

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.

56808 ÷ 2 = 28404 with 0 remainder
28404 ÷ 2 = 14202 with 0 remainder
14202 ÷ 2 = 7101 with 0 remainder
7101 ÷ 2 = 3550 with 1 remainder
3550 ÷ 2 = 1775 with 0 remainder
1775 ÷ 2 = 887 with 1 remainder
887 ÷ 2 = 443 with 1 remainder
443 ÷ 2 = 221 with 1 remainder
221 ÷ 2 = 110 with 1 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 DDE8 hexadecimal to binary:

DDE8 hexadecimal = 1101110111101000 binary

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DDE9 hexadecimal to binary
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