D4C9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D4C9 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 D4C9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D4C9 by 16⁰, multiply the second to last digit in D4C9 by 16¹, multiply the third to last digit in D4C9 by 16², multiply the fourth to last digit in D4C9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
C × 16¹ = 192
4 × 16² = 1024
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:

9 + 192 + 1024 + 53248 = 54473

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.

54473 ÷ 2 = 27236 with 1 remainder
27236 ÷ 2 = 13618 with 0 remainder
13618 ÷ 2 = 6809 with 0 remainder
6809 ÷ 2 = 3404 with 1 remainder
3404 ÷ 2 = 1702 with 0 remainder
1702 ÷ 2 = 851 with 0 remainder
851 ÷ 2 = 425 with 1 remainder
425 ÷ 2 = 212 with 1 remainder
212 ÷ 2 = 106 with 0 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 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 D4C9 hexadecimal to binary:

D4C9 hexadecimal = 1101010011001001 binary

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D4CA hexadecimal to binary
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