What is the range of short data type in Java?Options-32768 to 32767-128 to 127-2147483648 to 2147483647None of the mentioned

Break Down the Problem

1. Identify the data type in question: short in Java.
2. Investigate the limitations and specifications of the short data type.
3. Review the provided answer options to find the correct range.

Relevant Concepts

• In Java, the short data type is a 16-bit signed integer.
• The formula to determine the range of a signed integer type is given by: $\text{Range} = -2^{(n-1)} \text{ to } 2^{(n-1)} - 1$ where $n$ is the number of bits.

Analysis and Detail

1. For a short in Java:
   • $n = 16$
   • Calculating the range: $\text{Minimum Value} = -2^{(16-1)} = -2^{15} = -32768$ $\text{Maximum Value} = 2^{(16-1)} - 1 = 2^{15} - 1 = 32767$

Verify and Summarize

• The calculated range of the short data type confirms that it spans from -32768 to 32767.
• Review the options:
  • 32768 to 32767 (incorrect)
  • 128 to 127 (incorrect)
  • 2147483648 to 2147483647 (incorrect)
  • None of the mentioned (incorrect)

Final Answer

The correct range of the short data type in Java is -32768 to 32767.