F9F hexadecimal to binary

Here we will show you how to convert the hexadecimal number F9F 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 F9F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F9F by 16⁰, multiply the second to last digit in F9F by 16¹, multiply the third to last digit in F9F by 16², multiply the fourth to last digit in F9F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
9 × 16¹ = 144
F × 16² = 3840

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 + 144 + 3840 = 3999

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.

3999 ÷ 2 = 1999 with 1 remainder
1999 ÷ 2 = 999 with 1 remainder
999 ÷ 2 = 499 with 1 remainder
499 ÷ 2 = 249 with 1 remainder
249 ÷ 2 = 124 with 1 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 F9F hexadecimal to binary:

F9F hexadecimal = 111110011111 binary

Hexadecimal to Binary Converter
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