C404 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C404 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 C404 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C404 by 16⁰, multiply the second to last digit in C404 by 16¹, multiply the third to last digit in C404 by 16², multiply the fourth to last digit in C404 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
0 × 16¹ = 0
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:

4 + 0 + 1024 + 49152 = 50180

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.

50180 ÷ 2 = 25090 with 0 remainder
25090 ÷ 2 = 12545 with 0 remainder
12545 ÷ 2 = 6272 with 1 remainder
6272 ÷ 2 = 3136 with 0 remainder
3136 ÷ 2 = 1568 with 0 remainder
1568 ÷ 2 = 784 with 0 remainder
784 ÷ 2 = 392 with 0 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 C404 hexadecimal to binary:

C404 hexadecimal = 1100010000000100 binary

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C405 hexadecimal to binary
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