C364 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C364 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 C364 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C364 by 16⁰, multiply the second to last digit in C364 by 16¹, multiply the third to last digit in C364 by 16², multiply the fourth to last digit in C364 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
6 × 16¹ = 96
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:

4 + 96 + 768 + 49152 = 50020

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.

50020 ÷ 2 = 25010 with 0 remainder
25010 ÷ 2 = 12505 with 0 remainder
12505 ÷ 2 = 6252 with 1 remainder
6252 ÷ 2 = 3126 with 0 remainder
3126 ÷ 2 = 1563 with 0 remainder
1563 ÷ 2 = 781 with 1 remainder
781 ÷ 2 = 390 with 1 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 C364 hexadecimal to binary:

C364 hexadecimal = 1100001101100100 binary

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C365 hexadecimal to binary
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