D3DC hexadecimal to binary

Here we will show you how to convert the hexadecimal number D3DC 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 D3DC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D3DC by 16⁰, multiply the second to last digit in D3DC by 16¹, multiply the third to last digit in D3DC by 16², multiply the fourth to last digit in D3DC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
D × 16¹ = 208
3 × 16² = 768
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:

12 + 208 + 768 + 53248 = 54236

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.

54236 ÷ 2 = 27118 with 0 remainder
27118 ÷ 2 = 13559 with 0 remainder
13559 ÷ 2 = 6779 with 1 remainder
6779 ÷ 2 = 3389 with 1 remainder
3389 ÷ 2 = 1694 with 1 remainder
1694 ÷ 2 = 847 with 0 remainder
847 ÷ 2 = 423 with 1 remainder
423 ÷ 2 = 211 with 1 remainder
211 ÷ 2 = 105 with 1 remainder
105 ÷ 2 = 52 with 1 remainder
52 ÷ 2 = 26 with 0 remainder
26 ÷ 2 = 13 with 0 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 D3DC hexadecimal to binary:

D3DC hexadecimal = 1101001111011100 binary

Hexadecimal to Binary Converter
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D3DD hexadecimal to binary
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