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NIMCET Previous Year Questions (PYQs)

NIMCET 1s Complement 2s Complement PYQ

NIMCET PYQ
Which of the following is the representation of decimal number (- 147) in 2's compliment notation on a 12-bit machine?





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NIMCET PYQ
The smallest integer that can be represented by an 8 bit number in 2's complement form is





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





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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

NIMCET PYQ
If N is a 16-bit signed integer, then 2's complement representation of N is (F87B)16. The 2's complement representation of 8*N is





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NIMCET PYQ
In an 8 bit representation of computer system the decimal number 47 has to be subtracted from 38 and the result in binary 2's complement is _________






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NIMCET PYQ
The maximum and minimum value represented in signed 16 bit 2's complement representations are





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Solution

Range of 2's complement $-2^{n-1}$ to $2^{n-1}+1$

Range for 16 bits = $-2^{16-1}$ to $2^{16-1}+1$

Range for 16 bits = $-2^{15}$ to $2^{25}+1$

Range for 16 bits = $-32768$ to $32767$
NIMCET PYQ
The 2's complement representation of the number (–100)10 in an 8 bit computer is





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NIMCET PYQ
Subtract (1010)2 from (1101)2 using first complement





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NIMCET PYQ
The range of n-bit signed magnitude representation is





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