Question

The maximum and minimum value represented in signed 16 bit 2's complement representations are

• A. -16684 and 16383
• B. 0 and 32767
• C. 0 and 65535
• D. -32768 and 32767

Hint:

For signed numbers in 2's complement, the range is from \( -2^{n-1} \) to \( 2^{n-1} - 1 \), where \( n \) is the number of bits.

Answer 1

The Correct Option is D

In signed 16-bit 2's complement representation, one bit is used for the sign (0 for positive, 1 for negative). The range of values that can be represented with 16 bits is from -32768 to 32767.
Therefore, the correct range of values is \( \boxed{-32768 \text{ and } 32767} \).