BD01 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BD01 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 BD01 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BD01 by 16⁰, multiply the second to last digit in BD01 by 16¹, multiply the third to last digit in BD01 by 16², multiply the fourth to last digit in BD01 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
0 × 16¹ = 0
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:

1 + 0 + 3328 + 45056 = 48385

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.

48385 ÷ 2 = 24192 with 1 remainder
24192 ÷ 2 = 12096 with 0 remainder
12096 ÷ 2 = 6048 with 0 remainder
6048 ÷ 2 = 3024 with 0 remainder
3024 ÷ 2 = 1512 with 0 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 BD01 hexadecimal to binary:

BD01 hexadecimal = 1011110100000001 binary

Hexadecimal to Binary Converter
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BD02 hexadecimal to binary
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