53C9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 53C9 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 53C9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 53C9 by 16⁰, multiply the second to last digit in 53C9 by 16¹, multiply the third to last digit in 53C9 by 16², multiply the fourth to last digit in 53C9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
C × 16¹ = 192
3 × 16² = 768
5 × 16³ = 20480

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 + 768 + 20480 = 21449

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.

21449 ÷ 2 = 10724 with 1 remainder
10724 ÷ 2 = 5362 with 0 remainder
5362 ÷ 2 = 2681 with 0 remainder
2681 ÷ 2 = 1340 with 1 remainder
1340 ÷ 2 = 670 with 0 remainder
670 ÷ 2 = 335 with 0 remainder
335 ÷ 2 = 167 with 1 remainder
167 ÷ 2 = 83 with 1 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 53C9 hexadecimal to binary:

53C9 hexadecimal = 101001111001001 binary

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53CA hexadecimal to binary
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