BF96 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BF96 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 BF96 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BF96 by 16⁰, multiply the second to last digit in BF96 by 16¹, multiply the third to last digit in BF96 by 16², multiply the fourth to last digit in BF96 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
9 × 16¹ = 144
F × 16² = 3840
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 + 144 + 3840 + 45056 = 49046

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.

49046 ÷ 2 = 24523 with 0 remainder
24523 ÷ 2 = 12261 with 1 remainder
12261 ÷ 2 = 6130 with 1 remainder
6130 ÷ 2 = 3065 with 0 remainder
3065 ÷ 2 = 1532 with 1 remainder
1532 ÷ 2 = 766 with 0 remainder
766 ÷ 2 = 383 with 0 remainder
383 ÷ 2 = 191 with 1 remainder
191 ÷ 2 = 95 with 1 remainder
95 ÷ 2 = 47 with 1 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 BF96 hexadecimal to binary:

BF96 hexadecimal = 1011111110010110 binary

Hexadecimal to Binary Converter
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