B1DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number B1DF 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 B1DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B1DF by 16⁰, multiply the second to last digit in B1DF by 16¹, multiply the third to last digit in B1DF by 16², multiply the fourth to last digit in B1DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
1 × 16² = 256
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:

15 + 208 + 256 + 45056 = 45535

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.

45535 ÷ 2 = 22767 with 1 remainder
22767 ÷ 2 = 11383 with 1 remainder
11383 ÷ 2 = 5691 with 1 remainder
5691 ÷ 2 = 2845 with 1 remainder
2845 ÷ 2 = 1422 with 1 remainder
1422 ÷ 2 = 711 with 0 remainder
711 ÷ 2 = 355 with 1 remainder
355 ÷ 2 = 177 with 1 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 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 B1DF hexadecimal to binary:

B1DF hexadecimal = 1011000111011111 binary

Hexadecimal to Binary Converter
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