FB96 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FB96 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 FB96 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FB96 by 16⁰, multiply the second to last digit in FB96 by 16¹, multiply the third to last digit in FB96 by 16², multiply the fourth to last digit in FB96 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
9 × 16¹ = 144
B × 16² = 2816
F × 16³ = 61440

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 + 2816 + 61440 = 64406

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.

64406 ÷ 2 = 32203 with 0 remainder
32203 ÷ 2 = 16101 with 1 remainder
16101 ÷ 2 = 8050 with 1 remainder
8050 ÷ 2 = 4025 with 0 remainder
4025 ÷ 2 = 2012 with 1 remainder
2012 ÷ 2 = 1006 with 0 remainder
1006 ÷ 2 = 503 with 0 remainder
503 ÷ 2 = 251 with 1 remainder
251 ÷ 2 = 125 with 1 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 FB96 hexadecimal to binary:

FB96 hexadecimal = 1111101110010110 binary

Hexadecimal to Binary Converter
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FB97 hexadecimal to binary
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