+) (11)2 + (11)2+(11)2= ------
a) (111)2 b) (1011)2
c) (1001)2
d) (1111)2
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Answer:
I think its option D
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Answered by
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c) (1001)₂
Binary conversion:
Binary conversion is the conversion of binary number with base-2 to the other number systems. A binary number is represented by two numbers i.e., 1 and 0.
To find the solution of the given question, first we have to convert the given binary number into decimal number and then add the numbers. To convert it we have to follow the below steps:
- Multiply each digit with 2ⁿ
- Add the numbers thus obtained
- Divide the obtained number by 2 to get the solution in binary form
(11) ₂ + (11) ₂ + (11) ₂ = (1 x 2¹) + (1 x 2⁰) + (1 x 2¹) + (1 x 2⁰) + (1 x 2¹) + (1 x 2⁰)
⇒ 2 + 1 + 2 + 1 +2 + 1
⇒ 9
Now, after converting the given number into binary, we will get (11) ₂ + (11) ₂ + (11) ₂ = (1001)₂
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