9B66 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9B66 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 9B66 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9B66 by 16⁰, multiply the second to last digit in 9B66 by 16¹, multiply the third to last digit in 9B66 by 16², multiply the fourth to last digit in 9B66 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
6 × 16¹ = 96
B × 16² = 2816
9 × 16³ = 36864

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 + 96 + 2816 + 36864 = 39782

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.

39782 ÷ 2 = 19891 with 0 remainder
19891 ÷ 2 = 9945 with 1 remainder
9945 ÷ 2 = 4972 with 1 remainder
4972 ÷ 2 = 2486 with 0 remainder
2486 ÷ 2 = 1243 with 0 remainder
1243 ÷ 2 = 621 with 1 remainder
621 ÷ 2 = 310 with 1 remainder
310 ÷ 2 = 155 with 0 remainder
155 ÷ 2 = 77 with 1 remainder
77 ÷ 2 = 38 with 1 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 9B66 hexadecimal to binary:

9B66 hexadecimal = 1001101101100110 binary

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9B67 hexadecimal to binary
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