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Previous Year Question (PYQs)



The maximum and minimum value represented in signed 16-bit 2s compliment representation are





Solution

 Maximum & Minimum in 16-bit 2's Complement

 Total Bits: 16

Format: 1 sign bit + 15 magnitude bits

  • Maximum (positive): 0111 1111 1111 1111(2) = +32,767
  • Minimum (negative): 1000 0000 0000 0000(2) = −32,768

✅ Final Answer:
Minimum = −32,768
Maximum = +32,767



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