9FFE hexadecimal to binary

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

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

E × 16⁰ = 14
F × 16¹ = 240
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 + 240 + 3840 + 36864 = 40958

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.

40958 ÷ 2 = 20479 with 0 remainder
20479 ÷ 2 = 10239 with 1 remainder
10239 ÷ 2 = 5119 with 1 remainder
5119 ÷ 2 = 2559 with 1 remainder
2559 ÷ 2 = 1279 with 1 remainder
1279 ÷ 2 = 639 with 1 remainder
639 ÷ 2 = 319 with 1 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 9FFE hexadecimal to binary:

9FFE hexadecimal = 1001111111111110 binary

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9FFF hexadecimal to binary
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