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Phrases 1s Complement 2s Complement PYQ

Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2017 PYQ

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





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





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





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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 $32767$

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