Two’s Complement Range — For an 8-bit two’s-complement integer system, the set of negative numbers spans −128 through −1 (order notwithstanding). Evaluate the correctness of the given statement.

Introduction:
The representable range in two’s-complement depends on word width. For 8 bits, the classic range is −128 to +127. This question focuses on the negative side of the range and whether stating “−1 to −128” (reverse ordering) is still a correct characterization of the set of negative values.

Given Data / Assumptions:

• Word size = 8 bits.
• Encoding = two’s-complement.
• We care about the set of negative values, not the ascending order convention.

Concept / Approach:
In two’s-complement, the most negative number is −2^(n−1) and the most positive is +2^(n−1) − 1. For n = 8, negatives are {−128, −127, …, −1}. Writing the set as “−1 to −128” reverses the usual order but references the same elements. Thus, as a truth-value statement about which numbers are negative in 8-bit two’s-complement, it is correct.

Step-by-Step Solution:

Verification / Alternative check:

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Final Answer: