How is the range of values for a short data type calculated in C++?

In C++, short is a data type commonly used to store integer values. Short data type typically occupies 2 bytes (16 bits) of memory space and, according to two’s complement representation, the range of values for short type is usually from -32768 to +32767.

The range of values for the short type can be calculated as follows:

  1. Short data types typically use signed two’s complement representation, where the highest bit represents the sign, with 0 indicating a positive number and 1 indicating a negative number.
  2. Short type occupies 2 bytes (16 bits) of memory space, with one bit used to represent the sign and the remaining 15 bits used to represent the value.
  3. The range of a 15-bit binary number is from 0 to 32767, so the range of a short type is from -32768 to 32767.

It is important to note that different compilers and platforms may have varying implementations and value ranges, so it is best to use standard data type sizes and ranges when writing programs.

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