54C9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 54C9 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 54C9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 54C9 by 16⁰, multiply the second to last digit in 54C9 by 16¹, multiply the third to last digit in 54C9 by 16², multiply the fourth to last digit in 54C9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
C × 16¹ = 192
4 × 16² = 1024
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 + 1024 + 20480 = 21705

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.

21705 ÷ 2 = 10852 with 1 remainder
10852 ÷ 2 = 5426 with 0 remainder
5426 ÷ 2 = 2713 with 0 remainder
2713 ÷ 2 = 1356 with 1 remainder
1356 ÷ 2 = 678 with 0 remainder
678 ÷ 2 = 339 with 0 remainder
339 ÷ 2 = 169 with 1 remainder
169 ÷ 2 = 84 with 1 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 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 54C9 hexadecimal to binary:

54C9 hexadecimal = 101010011001001 binary

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54CA hexadecimal to binary
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