8EB4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8EB4 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 8EB4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8EB4 by 16⁰, multiply the second to last digit in 8EB4 by 16¹, multiply the third to last digit in 8EB4 by 16², multiply the fourth to last digit in 8EB4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
B × 16¹ = 176
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:

4 + 176 + 3584 + 32768 = 36532

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.

36532 ÷ 2 = 18266 with 0 remainder
18266 ÷ 2 = 9133 with 0 remainder
9133 ÷ 2 = 4566 with 1 remainder
4566 ÷ 2 = 2283 with 0 remainder
2283 ÷ 2 = 1141 with 1 remainder
1141 ÷ 2 = 570 with 1 remainder
570 ÷ 2 = 285 with 0 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 8EB4 hexadecimal to binary:

8EB4 hexadecimal = 1000111010110100 binary

Hexadecimal to Binary Converter
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