F2F1 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F2F1 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 F2F1 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F2F1 by 16⁰, multiply the second to last digit in F2F1 by 16¹, multiply the third to last digit in F2F1 by 16², multiply the fourth to last digit in F2F1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
F × 16¹ = 240
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:

1 + 240 + 512 + 61440 = 62193

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.

62193 ÷ 2 = 31096 with 1 remainder
31096 ÷ 2 = 15548 with 0 remainder
15548 ÷ 2 = 7774 with 0 remainder
7774 ÷ 2 = 3887 with 0 remainder
3887 ÷ 2 = 1943 with 1 remainder
1943 ÷ 2 = 971 with 1 remainder
971 ÷ 2 = 485 with 1 remainder
485 ÷ 2 = 242 with 1 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 F2F1 hexadecimal to binary:

F2F1 hexadecimal = 1111001011110001 binary

Hexadecimal to Binary Converter
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F2F2 hexadecimal to binary
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