C18 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C18 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 C18 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C18 by 16⁰, multiply the second to last digit in C18 by 16¹, multiply the third to last digit in C18 by 16², multiply the fourth to last digit in C18 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
1 × 16¹ = 16
C × 16² = 3072

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:

8 + 16 + 3072 = 3096

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.

3096 ÷ 2 = 1548 with 0 remainder
1548 ÷ 2 = 774 with 0 remainder
774 ÷ 2 = 387 with 0 remainder
387 ÷ 2 = 193 with 1 remainder
193 ÷ 2 = 96 with 1 remainder
96 ÷ 2 = 48 with 0 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 C18 hexadecimal to binary:

C18 hexadecimal = 110000011000 binary

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C19 hexadecimal to binary
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