DD03 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DD03 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 DD03 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DD03 by 16⁰, multiply the second to last digit in DD03 by 16¹, multiply the third to last digit in DD03 by 16², multiply the fourth to last digit in DD03 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
0 × 16¹ = 0
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:

3 + 0 + 3328 + 53248 = 56579

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.

56579 ÷ 2 = 28289 with 1 remainder
28289 ÷ 2 = 14144 with 1 remainder
14144 ÷ 2 = 7072 with 0 remainder
7072 ÷ 2 = 3536 with 0 remainder
3536 ÷ 2 = 1768 with 0 remainder
1768 ÷ 2 = 884 with 0 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 DD03 hexadecimal to binary:

DD03 hexadecimal = 1101110100000011 binary

Hexadecimal to Binary Converter
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