18BC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 18BC 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 18BC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 18BC by 16⁰, multiply the second to last digit in 18BC by 16¹, multiply the third to last digit in 18BC by 16², multiply the fourth to last digit in 18BC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
B × 16¹ = 176
8 × 16² = 2048
1 × 16³ = 4096

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:

12 + 176 + 2048 + 4096 = 6332

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.

6332 ÷ 2 = 3166 with 0 remainder
3166 ÷ 2 = 1583 with 0 remainder
1583 ÷ 2 = 791 with 1 remainder
791 ÷ 2 = 395 with 1 remainder
395 ÷ 2 = 197 with 1 remainder
197 ÷ 2 = 98 with 1 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 18BC hexadecimal to binary:

18BC hexadecimal = 1100010111100 binary

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18BD hexadecimal to binary
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