9F99 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9F99 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 9F99 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9F99 by 16⁰, multiply the second to last digit in 9F99 by 16¹, multiply the third to last digit in 9F99 by 16², multiply the fourth to last digit in 9F99 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
9 × 16¹ = 144
F × 16² = 3840
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:

9 + 144 + 3840 + 36864 = 40857

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.

40857 ÷ 2 = 20428 with 1 remainder
20428 ÷ 2 = 10214 with 0 remainder
10214 ÷ 2 = 5107 with 0 remainder
5107 ÷ 2 = 2553 with 1 remainder
2553 ÷ 2 = 1276 with 1 remainder
1276 ÷ 2 = 638 with 0 remainder
638 ÷ 2 = 319 with 0 remainder
319 ÷ 2 = 159 with 1 remainder
159 ÷ 2 = 79 with 1 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 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 9F99 hexadecimal to binary:

9F99 hexadecimal = 1001111110011001 binary

Hexadecimal to Binary Converter
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