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The sum of the binary numbers (11011)2, (10110110)2 and (10011x0y)2 is the binary number (101101101)2. What are the values of x and y?
  • a)
    x = 1, y = 1
  • b)
    x = 0, y = 1
  • c)
     x = 1, y = 0
  • d)
    x = 0, y = 0
Correct answer is option 'C'. Can you explain this answer?
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The sum of the binary numbers (11011)2, (10110110)2 and (10011x0y)2 is...
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The sum of the binary numbers (11011)2, (10110110)2 and (10011x0y)2 is...
Explanation:

Step 1: Convert the given binary numbers to decimal
- (11011)₂ = 27
- (10110110)₂ = 182
- (10011x0y)₂ = 155 + 16x + 2y

Step 2: Add the decimal numbers
27 + 182 + 155 + 16x + 2y = 365 + 16x + 2y

Step 3: Convert the sum to binary
365 + 16x + 2y = (101101101)₂

Step 4: Match the binary numbers
365 = (101101101)₂
16x = 0 or x = 0
2y = 1 or y = 1
Therefore, the values of x and y are:
- x = 0
- y = 1
Therefore, the correct answer is option C - x = 1, y = 0.
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The sum of the binary numbers (11011)2, (10110110)2 and (10011x0y)2 is the binary number (101101101)2. What are the values of x and y?a)x = 1, y = 1b)x = 0, y = 1c)x = 1, y = 0d)x = 0, y = 0Correct answer is option 'C'. Can you explain this answer?
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