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Previous Year Question (PYQs)

Let the given number 11001, 1001 and 111001 be correspond to the 2’s complement representation. Then with which one of the following decimal number, the given numbers match




Solution

Binary to Decimal: 2's Complement Conversion

Given binary numbers:

  • 11001 (5-bit)
  • 1001 (4-bit)
  • 111001 (6-bit)

Step-by-step (2's complement):

  • Each starts with 1 → negative number
  • Convert by inverting and adding 1
  • All result in binary 0111 → decimal 7
  • So final value = −7

✅ Final Answer: Each binary number corresponds to the decimal number −7.


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