9BB hexadecimal to binary

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

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

B × 16⁰ = 11
B × 16¹ = 176
9 × 16² = 2304

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 + 176 + 2304 = 2491

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.

2491 ÷ 2 = 1245 with 1 remainder
1245 ÷ 2 = 622 with 1 remainder
622 ÷ 2 = 311 with 0 remainder
311 ÷ 2 = 155 with 1 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 9BB hexadecimal to binary:

9BB hexadecimal = 100110111011 binary

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9BC hexadecimal to binary
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