Final answer:
The storable range for Short Integers is b) -32,768 to 32,767, which is indicative of 16-bit signed integers, where 1 bit represents the sign and the remaining 15 bits allow for a range of 2^15 positive and 2^15 negative values.
Step-by-step explanation:
The question pertains to the range of values that can be stored in a data type known as a Short Integer in computing. The correct option for the storable range of Short Integers is b) -32,768 to 32,767. This range is representative of a 16-bit signed integer, where one bit is used for the sign (positive or negative) and the remaining 15 bits are used for the value. This allows for 215 positive values and 215 negative values, excluding zero, hence the range from -32,768 to 32,767.
To express the range more clearly, it derives from the fact that the binary representation of Short Integers allows for 2 to the power of 15 (because one bit is for the sign) variations for both negative and positive numbers, plus zero. In comparison, options a), c), and d) represent other types of data ranges such as those for Long Integers, single-precision floating-point, and double-precision floating-point numbers respectively.
The correct answer to the question, 'What is the storable range of Short Integers?' is option b) -32,768 to 32,767. This understanding is crucial for computer programming and data representation, as it helps in making choices about the right data types to use based on the needed precision and value range.