B96B hexadecimal to binary

Here we will show you how to convert the hexadecimal number B96B 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 B96B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B96B by 16⁰, multiply the second to last digit in B96B by 16¹, multiply the third to last digit in B96B by 16², multiply the fourth to last digit in B96B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
6 × 16¹ = 96
9 × 16² = 2304
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:

11 + 96 + 2304 + 45056 = 47467

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.

47467 ÷ 2 = 23733 with 1 remainder
23733 ÷ 2 = 11866 with 1 remainder
11866 ÷ 2 = 5933 with 0 remainder
5933 ÷ 2 = 2966 with 1 remainder
2966 ÷ 2 = 1483 with 0 remainder
1483 ÷ 2 = 741 with 1 remainder
741 ÷ 2 = 370 with 1 remainder
370 ÷ 2 = 185 with 0 remainder
185 ÷ 2 = 92 with 1 remainder
92 ÷ 2 = 46 with 0 remainder
46 ÷ 2 = 23 with 0 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 B96B hexadecimal to binary:

B96B hexadecimal = 1011100101101011 binary

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