DC9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DC9 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 DC9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DC9 by 16⁰, multiply the second to last digit in DC9 by 16¹, multiply the third to last digit in DC9 by 16², multiply the fourth to last digit in DC9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
C × 16¹ = 192
D × 16² = 3328

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 + 3328 = 3529

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.

3529 ÷ 2 = 1764 with 1 remainder
1764 ÷ 2 = 882 with 0 remainder
882 ÷ 2 = 441 with 0 remainder
441 ÷ 2 = 220 with 1 remainder
220 ÷ 2 = 110 with 0 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 DC9 hexadecimal to binary:

DC9 hexadecimal = 110111001001 binary

Hexadecimal to Binary Converter
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DCA hexadecimal to binary
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