What is the range of signed integers represented in 8-bit 2's complement format?

Subject: Digital Logic Systems

Topic: Digital Logic Systems Unit 1: Fundamental Concepts

Options:

1. Option A: $-127$ to $+127$
2. Option B: $-128$ to $+127$
3. Option C: $-128$ to $+128$
4. Option D: $-256$ to $+255$

Correct Answer:

Option B: $-128$ to $+127$

Explanation:

The range of $n$-bit 2's complement is $-2^{n-1}$ to $+(2^{n-1} - 1)$. For $n=8$, this is $-2^7$ to $+(2^7-1)$, which is $-128$ to $+127$.