BD7C hexadecimal to binary

Here we will show you how to convert the hexadecimal number BD7C 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 BD7C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BD7C by 16⁰, multiply the second to last digit in BD7C by 16¹, multiply the third to last digit in BD7C by 16², multiply the fourth to last digit in BD7C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
7 × 16¹ = 112
D × 16² = 3328
B × 16³ = 45056

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 + 112 + 3328 + 45056 = 48508

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.

48508 ÷ 2 = 24254 with 0 remainder
24254 ÷ 2 = 12127 with 0 remainder
12127 ÷ 2 = 6063 with 1 remainder
6063 ÷ 2 = 3031 with 1 remainder
3031 ÷ 2 = 1515 with 1 remainder
1515 ÷ 2 = 757 with 1 remainder
757 ÷ 2 = 378 with 1 remainder
378 ÷ 2 = 189 with 0 remainder
189 ÷ 2 = 94 with 1 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 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 BD7C hexadecimal to binary:

BD7C hexadecimal = 1011110101111100 binary

Hexadecimal to Binary Converter
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