9FAE hexadecimal to binary

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

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

E × 16⁰ = 14
A × 16¹ = 160
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 + 160 + 3840 + 36864 = 40878

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.

40878 ÷ 2 = 20439 with 0 remainder
20439 ÷ 2 = 10219 with 1 remainder
10219 ÷ 2 = 5109 with 1 remainder
5109 ÷ 2 = 2554 with 1 remainder
2554 ÷ 2 = 1277 with 0 remainder
1277 ÷ 2 = 638 with 1 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 9FAE hexadecimal to binary:

9FAE hexadecimal = 1001111110101110 binary

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9FAF hexadecimal to binary
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