EBB8 hexadecimal to binary




Here we will show you how to convert the hexadecimal number EBB8 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 EBB8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EBB8 by 16⁰, multiply the second to last digit in EBB8 by 16¹, multiply the third to last digit in EBB8 by 16², multiply the fourth to last digit in EBB8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
B × 16¹ = 176
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 + 176 + 2816 + 57344 = 60344

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.

60344 ÷ 2 = 30172 with 0 remainder
30172 ÷ 2 = 15086 with 0 remainder
15086 ÷ 2 = 7543 with 0 remainder
7543 ÷ 2 = 3771 with 1 remainder
3771 ÷ 2 = 1885 with 1 remainder
1885 ÷ 2 = 942 with 1 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 EBB8 hexadecimal to binary:

EBB8 hexadecimal = 1110101110111000 binary


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