3F9F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3F9F 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 3F9F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3F9F by 16⁰, multiply the second to last digit in 3F9F by 16¹, multiply the third to last digit in 3F9F by 16², multiply the fourth to last digit in 3F9F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
9 × 16¹ = 144
F × 16² = 3840
3 × 16³ = 12288

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 + 12288 = 16287

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.

16287 ÷ 2 = 8143 with 1 remainder
8143 ÷ 2 = 4071 with 1 remainder
4071 ÷ 2 = 2035 with 1 remainder
2035 ÷ 2 = 1017 with 1 remainder
1017 ÷ 2 = 508 with 1 remainder
508 ÷ 2 = 254 with 0 remainder
254 ÷ 2 = 127 with 0 remainder
127 ÷ 2 = 63 with 1 remainder
63 ÷ 2 = 31 with 1 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 3F9F hexadecimal to binary:

3F9F hexadecimal = 11111110011111 binary

Hexadecimal to Binary Converter
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