BD12 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BD12 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 BD12 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BD12 by 16⁰, multiply the second to last digit in BD12 by 16¹, multiply the third to last digit in BD12 by 16², multiply the fourth to last digit in BD12 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
1 × 16¹ = 16
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:

2 + 16 + 3328 + 45056 = 48402

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.

48402 ÷ 2 = 24201 with 0 remainder
24201 ÷ 2 = 12100 with 1 remainder
12100 ÷ 2 = 6050 with 0 remainder
6050 ÷ 2 = 3025 with 0 remainder
3025 ÷ 2 = 1512 with 1 remainder
1512 ÷ 2 = 756 with 0 remainder
756 ÷ 2 = 378 with 0 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 BD12 hexadecimal to binary:

BD12 hexadecimal = 1011110100010010 binary

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BD13 hexadecimal to binary
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