EBF8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EBF8 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 EBF8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EBF8 by 16⁰, multiply the second to last digit in EBF8 by 16¹, multiply the third to last digit in EBF8 by 16², multiply the fourth to last digit in EBF8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
F × 16¹ = 240
B × 16² = 2816
E × 16³ = 57344

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 + 240 + 2816 + 57344 = 60408

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.

60408 ÷ 2 = 30204 with 0 remainder
30204 ÷ 2 = 15102 with 0 remainder
15102 ÷ 2 = 7551 with 0 remainder
7551 ÷ 2 = 3775 with 1 remainder
3775 ÷ 2 = 1887 with 1 remainder
1887 ÷ 2 = 943 with 1 remainder
943 ÷ 2 = 471 with 1 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 EBF8 hexadecimal to binary:

EBF8 hexadecimal = 1110101111111000 binary

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EBF9 hexadecimal to binary
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