
Here we will show you how to convert the hexadecimal number EBB0 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 EBB0 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in EBB0 by 16⁰, multiply the second to last digit in EBB0 by 16¹, multiply the third to last digit in EBB0 by 16², multiply the fourth to last digit in EBB0 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
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:
0 + 176 + 2816 + 57344 = 60336
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.
60336 ÷ 2 = 30168 with 0 remainder
30168 ÷ 2 = 15084 with 0 remainder
15084 ÷ 2 = 7542 with 0 remainder
7542 ÷ 2 = 3771 with 0 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 EBB0 hexadecimal to binary:
EBB0 hexadecimal = 1110101110110000 binary
Hexadecimal to Binary Converter
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EBB1 hexadecimal to binary
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