How many bits would be required to represent decimal numbers from -32,768 to +32,767?

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We need to represent 65536 decimal numbers in total (32768 negative integers, zero and 32767 positive numbers). The number of bits required to represent 65536 integers is $\log_{2}{65536}=16$ .

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Question ID: mtid-5-stid-8-sqid-3653-qpid-2352