BD9D hexadecimal to binary

Here we will show you how to convert the hexadecimal number BD9D 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 BD9D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BD9D by 16⁰, multiply the second to last digit in BD9D by 16¹, multiply the third to last digit in BD9D by 16², multiply the fourth to last digit in BD9D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
9 × 16¹ = 144
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:

13 + 144 + 3328 + 45056 = 48541

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.

48541 ÷ 2 = 24270 with 1 remainder
24270 ÷ 2 = 12135 with 0 remainder
12135 ÷ 2 = 6067 with 1 remainder
6067 ÷ 2 = 3033 with 1 remainder
3033 ÷ 2 = 1516 with 1 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 BD9D hexadecimal to binary:

BD9D hexadecimal = 1011110110011101 binary

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BD9E hexadecimal to binary
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