B1F9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B1F9 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 B1F9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B1F9 by 16⁰, multiply the second to last digit in B1F9 by 16¹, multiply the third to last digit in B1F9 by 16², multiply the fourth to last digit in B1F9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
F × 16¹ = 240
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:

9 + 240 + 256 + 45056 = 45561

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.

45561 ÷ 2 = 22780 with 1 remainder
22780 ÷ 2 = 11390 with 0 remainder
11390 ÷ 2 = 5695 with 0 remainder
5695 ÷ 2 = 2847 with 1 remainder
2847 ÷ 2 = 1423 with 1 remainder
1423 ÷ 2 = 711 with 1 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 B1F9 hexadecimal to binary:

B1F9 hexadecimal = 1011000111111001 binary

Hexadecimal to Binary Converter
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B1FA hexadecimal to binary
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