F16E hexadecimal to binary

Here we will show you how to convert the hexadecimal number F16E 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 F16E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F16E by 16⁰, multiply the second to last digit in F16E by 16¹, multiply the third to last digit in F16E by 16², multiply the fourth to last digit in F16E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
6 × 16¹ = 96
1 × 16² = 256
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 + 96 + 256 + 61440 = 61806

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.

61806 ÷ 2 = 30903 with 0 remainder
30903 ÷ 2 = 15451 with 1 remainder
15451 ÷ 2 = 7725 with 1 remainder
7725 ÷ 2 = 3862 with 1 remainder
3862 ÷ 2 = 1931 with 0 remainder
1931 ÷ 2 = 965 with 1 remainder
965 ÷ 2 = 482 with 1 remainder
482 ÷ 2 = 241 with 0 remainder
241 ÷ 2 = 120 with 1 remainder
120 ÷ 2 = 60 with 0 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 F16E hexadecimal to binary:

F16E hexadecimal = 1111000101101110 binary

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F16F hexadecimal to binary
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