BD46 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BD46 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 BD46 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BD46 by 16⁰, multiply the second to last digit in BD46 by 16¹, multiply the third to last digit in BD46 by 16², multiply the fourth to last digit in BD46 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
4 × 16¹ = 64
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:

6 + 64 + 3328 + 45056 = 48454

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.

48454 ÷ 2 = 24227 with 0 remainder
24227 ÷ 2 = 12113 with 1 remainder
12113 ÷ 2 = 6056 with 1 remainder
6056 ÷ 2 = 3028 with 0 remainder
3028 ÷ 2 = 1514 with 0 remainder
1514 ÷ 2 = 757 with 0 remainder
757 ÷ 2 = 378 with 1 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 BD46 hexadecimal to binary:

BD46 hexadecimal = 1011110101000110 binary

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BD47 hexadecimal to binary
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