3F21 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3F21 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 3F21 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3F21 by 16⁰, multiply the second to last digit in 3F21 by 16¹, multiply the third to last digit in 3F21 by 16², multiply the fourth to last digit in 3F21 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
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:

1 + 32 + 3840 + 12288 = 16161

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.

16161 ÷ 2 = 8080 with 1 remainder
8080 ÷ 2 = 4040 with 0 remainder
4040 ÷ 2 = 2020 with 0 remainder
2020 ÷ 2 = 1010 with 0 remainder
1010 ÷ 2 = 505 with 0 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 3F21 hexadecimal to binary:

3F21 hexadecimal = 11111100100001 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

3F22 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.