What tag types may contain integer values between -32,768 and +32,767?

The correct answer is based on the definition of the 'INT' tag type within programmable controller systems. The 'INT' type is specifically designed to store signed integer values. This means that it can represent both negative and positive values within a specific range. For the standard INT type, this range is indeed from -32,768 to +32,767.

This characteristic makes the 'INT' tag type particularly useful for applications where integer arithmetic or counts are required, such as in control logic or when dealing with sensor inputs that can fall within this range.

Other tag types mentioned do not fit this specification due to their different purposes and ranges. For instance, 'DOUBLE' and 'FLOAT' are used for representing floating-point numbers, which allow for decimals and are suited for different applications where precision with non-integer values is required. The 'BYTE' type is limited to storing 8-bit values, which means it can only represent the range from 0 to 255 in unsigned values or from -128 to 127 in signed values, making it unsuitable for the specified range of -32,768 to +32,767.

Understanding these distinctions is crucial for programming and utilizing data effectively within programmable controllers.