3FCF hexadecimal to binary

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

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

F × 16⁰ = 15
C × 16¹ = 192
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 + 192 + 3840 + 12288 = 16335

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.

16335 ÷ 2 = 8167 with 1 remainder
8167 ÷ 2 = 4083 with 1 remainder
4083 ÷ 2 = 2041 with 1 remainder
2041 ÷ 2 = 1020 with 1 remainder
1020 ÷ 2 = 510 with 0 remainder
510 ÷ 2 = 255 with 0 remainder
255 ÷ 2 = 127 with 1 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 3FCF hexadecimal to binary:

3FCF hexadecimal = 11111111001111 binary

Hexadecimal to Binary Converter
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