F213 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F213 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 F213 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F213 by 16⁰, multiply the second to last digit in F213 by 16¹, multiply the third to last digit in F213 by 16², multiply the fourth to last digit in F213 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
1 × 16¹ = 16
2 × 16² = 512
F × 16³ = 61440

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 + 16 + 512 + 61440 = 61971

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.

61971 ÷ 2 = 30985 with 1 remainder
30985 ÷ 2 = 15492 with 1 remainder
15492 ÷ 2 = 7746 with 0 remainder
7746 ÷ 2 = 3873 with 0 remainder
3873 ÷ 2 = 1936 with 1 remainder
1936 ÷ 2 = 968 with 0 remainder
968 ÷ 2 = 484 with 0 remainder
484 ÷ 2 = 242 with 0 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 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 F213 hexadecimal to binary:

F213 hexadecimal = 1111001000010011 binary

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F214 hexadecimal to binary
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