8-bit Two’s Complement — Determine the 8-bit two’s-complement representation of the decimal value −9.

Introduction:
Converting a negative decimal integer to two’s-complement involves finding the binary of the positive magnitude, inverting all bits, and adding 1, constrained to the chosen word size. Here, we compute the 8-bit code for −9 and match it against the options provided.

Given Data / Assumptions:

• Word size = 8 bits.
• Target value = −9 (decimal).
• Representation scheme = two’s-complement.

Concept / Approach:
Two equivalent ways exist: (1) encode +9 into binary, invert and add 1; or (2) start from a candidate negative code and convert back to magnitude for confirmation. We will use method (1) to derive the correct 8-bit pattern.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

Common Pitfalls:

Final Answer: