D384 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D384 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 D384 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D384 by 16⁰, multiply the second to last digit in D384 by 16¹, multiply the third to last digit in D384 by 16², multiply the fourth to last digit in D384 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
8 × 16¹ = 128
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:

4 + 128 + 768 + 53248 = 54148

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.

54148 ÷ 2 = 27074 with 0 remainder
27074 ÷ 2 = 13537 with 0 remainder
13537 ÷ 2 = 6768 with 1 remainder
6768 ÷ 2 = 3384 with 0 remainder
3384 ÷ 2 = 1692 with 0 remainder
1692 ÷ 2 = 846 with 0 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 D384 hexadecimal to binary:

D384 hexadecimal = 1101001110000100 binary

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D385 hexadecimal to binary
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