BD81 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BD81 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 BD81 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BD81 by 16⁰, multiply the second to last digit in BD81 by 16¹, multiply the third to last digit in BD81 by 16², multiply the fourth to last digit in BD81 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
8 × 16¹ = 128
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 + 128 + 3328 + 45056 = 48513

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.

48513 ÷ 2 = 24256 with 1 remainder
24256 ÷ 2 = 12128 with 0 remainder
12128 ÷ 2 = 6064 with 0 remainder
6064 ÷ 2 = 3032 with 0 remainder
3032 ÷ 2 = 1516 with 0 remainder
1516 ÷ 2 = 758 with 0 remainder
758 ÷ 2 = 379 with 0 remainder
379 ÷ 2 = 189 with 1 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 BD81 hexadecimal to binary:

BD81 hexadecimal = 1011110110000001 binary

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BD82 hexadecimal to binary
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