8EF0 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8EF0 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 8EF0 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8EF0 by 16⁰, multiply the second to last digit in 8EF0 by 16¹, multiply the third to last digit in 8EF0 by 16², multiply the fourth to last digit in 8EF0 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
F × 16¹ = 240
E × 16² = 3584
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:

0 + 240 + 3584 + 32768 = 36592

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.

36592 ÷ 2 = 18296 with 0 remainder
18296 ÷ 2 = 9148 with 0 remainder
9148 ÷ 2 = 4574 with 0 remainder
4574 ÷ 2 = 2287 with 0 remainder
2287 ÷ 2 = 1143 with 1 remainder
1143 ÷ 2 = 571 with 1 remainder
571 ÷ 2 = 285 with 1 remainder
285 ÷ 2 = 142 with 1 remainder
142 ÷ 2 = 71 with 0 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 8EF0 hexadecimal to binary:

8EF0 hexadecimal = 1000111011110000 binary

Hexadecimal to Binary Converter
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