F20E hexadecimal to binary

Here we will show you how to convert the hexadecimal number F20E 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 F20E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F20E by 16⁰, multiply the second to last digit in F20E by 16¹, multiply the third to last digit in F20E by 16², multiply the fourth to last digit in F20E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
0 × 16¹ = 0
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:

14 + 0 + 512 + 61440 = 61966

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.

61966 ÷ 2 = 30983 with 0 remainder
30983 ÷ 2 = 15491 with 1 remainder
15491 ÷ 2 = 7745 with 1 remainder
7745 ÷ 2 = 3872 with 1 remainder
3872 ÷ 2 = 1936 with 0 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 F20E hexadecimal to binary:

F20E hexadecimal = 1111001000001110 binary

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F20F hexadecimal to binary
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