9F8E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9F8E 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 9F8E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9F8E by 16⁰, multiply the second to last digit in 9F8E by 16¹, multiply the third to last digit in 9F8E by 16², multiply the fourth to last digit in 9F8E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
8 × 16¹ = 128
F × 16² = 3840
9 × 16³ = 36864

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 + 128 + 3840 + 36864 = 40846

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.

40846 ÷ 2 = 20423 with 0 remainder
20423 ÷ 2 = 10211 with 1 remainder
10211 ÷ 2 = 5105 with 1 remainder
5105 ÷ 2 = 2552 with 1 remainder
2552 ÷ 2 = 1276 with 0 remainder
1276 ÷ 2 = 638 with 0 remainder
638 ÷ 2 = 319 with 0 remainder
319 ÷ 2 = 159 with 1 remainder
159 ÷ 2 = 79 with 1 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 9F8E hexadecimal to binary:

9F8E hexadecimal = 1001111110001110 binary

Hexadecimal to Binary Converter
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9F8F hexadecimal to binary
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