9BFF hexadecimal to binary

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

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

F × 16⁰ = 15
F × 16¹ = 240
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:

15 + 240 + 2816 + 36864 = 39935

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.

39935 ÷ 2 = 19967 with 1 remainder
19967 ÷ 2 = 9983 with 1 remainder
9983 ÷ 2 = 4991 with 1 remainder
4991 ÷ 2 = 2495 with 1 remainder
2495 ÷ 2 = 1247 with 1 remainder
1247 ÷ 2 = 623 with 1 remainder
623 ÷ 2 = 311 with 1 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 9BFF hexadecimal to binary:

9BFF hexadecimal = 1001101111111111 binary

Hexadecimal to Binary Converter
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