C443 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C443 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 C443 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C443 by 16⁰, multiply the second to last digit in C443 by 16¹, multiply the third to last digit in C443 by 16², multiply the fourth to last digit in C443 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
4 × 16¹ = 64
4 × 16² = 1024
C × 16³ = 49152

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:

3 + 64 + 1024 + 49152 = 50243

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.

50243 ÷ 2 = 25121 with 1 remainder
25121 ÷ 2 = 12560 with 1 remainder
12560 ÷ 2 = 6280 with 0 remainder
6280 ÷ 2 = 3140 with 0 remainder
3140 ÷ 2 = 1570 with 0 remainder
1570 ÷ 2 = 785 with 0 remainder
785 ÷ 2 = 392 with 1 remainder
392 ÷ 2 = 196 with 0 remainder
196 ÷ 2 = 98 with 0 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 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 C443 hexadecimal to binary:

C443 hexadecimal = 1100010001000011 binary

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C444 hexadecimal to binary
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