BDBB hexadecimal to binary

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

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

B × 16⁰ = 11
B × 16¹ = 176
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:

11 + 176 + 3328 + 45056 = 48571

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.

48571 ÷ 2 = 24285 with 1 remainder
24285 ÷ 2 = 12142 with 1 remainder
12142 ÷ 2 = 6071 with 0 remainder
6071 ÷ 2 = 3035 with 1 remainder
3035 ÷ 2 = 1517 with 1 remainder
1517 ÷ 2 = 758 with 1 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 BDBB hexadecimal to binary:

BDBB hexadecimal = 1011110110111011 binary

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BDBC hexadecimal to binary
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