BDF hexadecimal to binary

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

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

F × 16⁰ = 15
D × 16¹ = 208
B × 16² = 2816

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:

15 + 208 + 2816 = 3039

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.

3039 ÷ 2 = 1519 with 1 remainder
1519 ÷ 2 = 759 with 1 remainder
759 ÷ 2 = 379 with 1 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 BDF hexadecimal to binary:

BDF hexadecimal = 101111011111 binary

Hexadecimal to Binary Converter
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