C18B hexadecimal to binary

Here we will show you how to convert the hexadecimal number C18B 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 C18B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C18B by 16⁰, multiply the second to last digit in C18B by 16¹, multiply the third to last digit in C18B by 16², multiply the fourth to last digit in C18B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
8 × 16¹ = 128
1 × 16² = 256
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:

11 + 128 + 256 + 49152 = 49547

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.

49547 ÷ 2 = 24773 with 1 remainder
24773 ÷ 2 = 12386 with 1 remainder
12386 ÷ 2 = 6193 with 0 remainder
6193 ÷ 2 = 3096 with 1 remainder
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 C18B hexadecimal to binary:

C18B hexadecimal = 1100000110001011 binary

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C18C hexadecimal to binary
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