8BDC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8BDC 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 8BDC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8BDC by 16⁰, multiply the second to last digit in 8BDC by 16¹, multiply the third to last digit in 8BDC by 16², multiply the fourth to last digit in 8BDC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
D × 16¹ = 208
B × 16² = 2816
8 × 16³ = 32768

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 + 208 + 2816 + 32768 = 35804

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.

35804 ÷ 2 = 17902 with 0 remainder
17902 ÷ 2 = 8951 with 0 remainder
8951 ÷ 2 = 4475 with 1 remainder
4475 ÷ 2 = 2237 with 1 remainder
2237 ÷ 2 = 1118 with 1 remainder
1118 ÷ 2 = 559 with 0 remainder
559 ÷ 2 = 279 with 1 remainder
279 ÷ 2 = 139 with 1 remainder
139 ÷ 2 = 69 with 1 remainder
69 ÷ 2 = 34 with 1 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 8BDC hexadecimal to binary:

8BDC hexadecimal = 1000101111011100 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

8BDD hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.