3F3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3F3 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 3F3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3F3 by 16⁰, multiply the second to last digit in 3F3 by 16¹, multiply the third to last digit in 3F3 by 16², multiply the fourth to last digit in 3F3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
F × 16¹ = 240
3 × 16² = 768

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:

3 + 240 + 768 = 1011

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.

1011 ÷ 2 = 505 with 1 remainder
505 ÷ 2 = 252 with 1 remainder
252 ÷ 2 = 126 with 0 remainder
126 ÷ 2 = 63 with 0 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 3F3 hexadecimal to binary:

3F3 hexadecimal = 1111110011 binary

Hexadecimal to Binary Converter
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