C303 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C303 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 C303 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C303 by 16⁰, multiply the second to last digit in C303 by 16¹, multiply the third to last digit in C303 by 16², multiply the fourth to last digit in C303 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
0 × 16¹ = 0
3 × 16² = 768
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 + 0 + 768 + 49152 = 49923

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.

49923 ÷ 2 = 24961 with 1 remainder
24961 ÷ 2 = 12480 with 1 remainder
12480 ÷ 2 = 6240 with 0 remainder
6240 ÷ 2 = 3120 with 0 remainder
3120 ÷ 2 = 1560 with 0 remainder
1560 ÷ 2 = 780 with 0 remainder
780 ÷ 2 = 390 with 0 remainder
390 ÷ 2 = 195 with 0 remainder
195 ÷ 2 = 97 with 1 remainder
97 ÷ 2 = 48 with 1 remainder
48 ÷ 2 = 24 with 0 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 C303 hexadecimal to binary:

C303 hexadecimal = 1100001100000011 binary

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C304 hexadecimal to binary
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