8FEC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8FEC 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 8FEC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8FEC by 16⁰, multiply the second to last digit in 8FEC by 16¹, multiply the third to last digit in 8FEC by 16², multiply the fourth to last digit in 8FEC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
E × 16¹ = 224
F × 16² = 3840
8 × 16³ = 32768

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:

12 + 224 + 3840 + 32768 = 36844

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.

36844 ÷ 2 = 18422 with 0 remainder
18422 ÷ 2 = 9211 with 0 remainder
9211 ÷ 2 = 4605 with 1 remainder
4605 ÷ 2 = 2302 with 1 remainder
2302 ÷ 2 = 1151 with 0 remainder
1151 ÷ 2 = 575 with 1 remainder
575 ÷ 2 = 287 with 1 remainder
287 ÷ 2 = 143 with 1 remainder
143 ÷ 2 = 71 with 1 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 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 8FEC hexadecimal to binary:

8FEC hexadecimal = 1000111111101100 binary

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8FED hexadecimal to binary
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