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NDA 2 2025 Maths, question 41

Topic: Algebra

Q41

What is the sum of the binary numbers (101101101)2(101101101)_{2} and (100011)2(100011)_{2}?

  1. (a) (110010000)2(110010000)_{2}Correct answer
  2. (b) (110001000)2(110001000)_{2}
  3. (c) (110000100)2(110000100)_{2}
  4. (d) (100100000)2(100100000)_{2}

Solution.

Answer: (a) (110010000)2(110010000)_{2}

  1. Convert or add in binary: (101101101)₂=365 and (100011)₂=35.
  2. Their sum is 400=256+128+16=(110010000)₂.