For 16 bit compiler, allowable range for integer constants is ______ ?Options-3.4e38 to 3.4e38-32767 to 32768-32768 to 32767-32668 to 32667

To determine the allowable range for integer constants in a 16-bit compiler, we need to consider how integers are represented in a 16-bit system.

1. Break Down the Problem

• A 16-bit integer can represent values using bits.
• We need to consider the two types of integer representations: signed and unsigned.

2. Relevant Concepts

• In a signed 16-bit integer (using two's complement representation), the range is calculated as: $-2^{(n-1)} \text{ to } 2^{(n-1)} - 1$ where $n$ is the number of bits.

• For 16 bits, the range is: $-2^{15} \text{ to } 2^{15} - 1 \quad (since \, n = 16)$ Therefore: $-32768 \text{ to } 32767$

3. Analysis and Detail

• The lower limit is $-32768$ (which is $-2^{15}$).
• The upper limit is $32767$ (which is $2^{15} - 1$).

4. Verify and Summarize

The calculations confirm that the signed 16-bit integer representation provides a range from $-32768$ to $32767$.

Final Answer

The allowable range for integer constants in a 16-bit compiler is -32768 to 32767.