EB8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EB8 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 EB8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EB8 by 16⁰, multiply the second to last digit in EB8 by 16¹, multiply the third to last digit in EB8 by 16², multiply the fourth to last digit in EB8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
B × 16¹ = 176
E × 16² = 3584

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:

8 + 176 + 3584 = 3768

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.

3768 ÷ 2 = 1884 with 0 remainder
1884 ÷ 2 = 942 with 0 remainder
942 ÷ 2 = 471 with 0 remainder
471 ÷ 2 = 235 with 1 remainder
235 ÷ 2 = 117 with 1 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 EB8 hexadecimal to binary:

EB8 hexadecimal = 111010111000 binary

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EB9 hexadecimal to binary
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