D3BC hexadecimal to binary

Here we will show you how to convert the hexadecimal number D3BC 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 D3BC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D3BC by 16⁰, multiply the second to last digit in D3BC by 16¹, multiply the third to last digit in D3BC by 16², multiply the fourth to last digit in D3BC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
B × 16¹ = 176
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 + 176 + 768 + 53248 = 54204

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.

54204 ÷ 2 = 27102 with 0 remainder
27102 ÷ 2 = 13551 with 0 remainder
13551 ÷ 2 = 6775 with 1 remainder
6775 ÷ 2 = 3387 with 1 remainder
3387 ÷ 2 = 1693 with 1 remainder
1693 ÷ 2 = 846 with 1 remainder
846 ÷ 2 = 423 with 0 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 D3BC hexadecimal to binary:

D3BC hexadecimal = 1101001110111100 binary

Hexadecimal to Binary Converter
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D3BD hexadecimal to binary
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