The range of integers that can be represented by an n-bit 2’s complement number system is
$$-2^{n-1} to (2^{n-1}-1)$$
$$-2(2^{n-1}-1) to (2^{-n-1}-1)$$
$$-2^{n-1} to 2^{n-1}$$
$$-2(2^{n-1}+1) to (2^{-n-1}-1)$$
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