What is the sum of the binary numbers (101101101)_2 and (100011)_2?
- A. (110010000)_2 ✓
- B. (110001000)_2
- C. (110000100)_2
- D. (100100000)_2
Correct Answer: A. (110010000)_2
Explanation
Convert the binary numbers to decimal: (101101101)_2 = 256 + 64 + 32 + 8 + 4 + 1 = 365, and (100011)_2 = 32 + 2 + 1 = 35. The sum in decimal is 365 + 35 = 400. Converting 400 back to binary: 400 = 256 + 128 + 16, which corresponds to the binary sequence 110010000_2.
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