Representation of zero in 2s complement – UGC NET Question

In two's complement, zero is represented by the all-zeros pattern regardless of the word length. This representation is unique and avoids the issue of having both positive and negative zero. Thus, 0 is encoded with every bit equal to 0.

Option A:
Option A reflects the fundamental convention that the all-zeros combination corresponds to numeric zero. This property simplifies arithmetic and comparisons in digital systems.

Option B:
Option B, all bits 1, represents −1 in a two's complement system, not zero. This is because it is the result of complementing 0 and adding 1.

Option C:
Option C, sign bit 1 and others 0, denotes the most negative number (e.g., −128 in 8-bit two's complement) rather than zero.

Option D:
Option D, an alternating 10 pattern, does not have any special meaning for zero and represents a non-zero value.