The 16-bit 2’s complement representation of an integer is 1111 1111 1111 0101;…
2016
The 16-bit 2’s complement representation of an integer is 1111 1111 1111 0101; its decimal representation is _________.
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Correct answer: -11
Answer: -11
Explanation: The 16-bit two's complement number is 1111 1111 1111 0101.
Since the most significant bit is 1, the number is negative.
Find the magnitude by taking the two's complement: invert all bits to get 0000 0000 0000 1010 (which is 10 in decimal).
Add 1 to that result: 0000 0000 0000 1010 + 1 = 0000 0000 0000 1011 (which is 11 in decimal).
Therefore the decimal value is -11.
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