DD3F hexadecimal to binary

Here we will show you how to convert the hexadecimal number DD3F 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 DD3F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DD3F by 16⁰, multiply the second to last digit in DD3F by 16¹, multiply the third to last digit in DD3F by 16², multiply the fourth to last digit in DD3F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
3 × 16¹ = 48
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:

15 + 48 + 3328 + 53248 = 56639

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.

56639 ÷ 2 = 28319 with 1 remainder
28319 ÷ 2 = 14159 with 1 remainder
14159 ÷ 2 = 7079 with 1 remainder
7079 ÷ 2 = 3539 with 1 remainder
3539 ÷ 2 = 1769 with 1 remainder
1769 ÷ 2 = 884 with 1 remainder
884 ÷ 2 = 442 with 0 remainder
442 ÷ 2 = 221 with 0 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 DD3F hexadecimal to binary:

DD3F hexadecimal = 1101110100111111 binary

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