Right shifting a negative (signed) integer: does the result vary across systems when using expression1 >> expression2 if the sign bit is 1?

Difficulty: Easy

Correct Answer: Correct — it is implementation-defined and may differ by compiler or CPU

Explanation:


Introduction / Context:
This question probes your knowledge of how the right-shift operator works on signed integers. Unlike unsigned right shifts, which are unambiguous, right shifts of negative signed integers can differ by platform because of how the sign bit is treated (arithmetic vs logical shift).


Given Data / Assumptions:

  • expression1 is a signed integer with the most significant bit set (a negative number in two’s complement).
  • expression2 is a nonnegative shift count.
  • We are discussing standard C/C++ behavior across different compilers and architectures.


Concept / Approach:
For unsigned types, right shift inserts zeros on the left (logical shift). For signed types, the C and C++ standards permit implementation-defined behavior: compilers may perform an arithmetic shift (propagating the sign bit, keeping the value close to division by 2 rounding toward negative infinity) or a logical shift (inserting zeros). Most two’s-complement compilers choose arithmetic shift, but the language does not require it. Thus, results may vary across compilers and systems.


Step-by-Step Solution:

Take x = -8 (binary …11111000 in two’s complement).Right shift by 1: arithmetic shift may yield …11111100 (which is -4), while logical shift would yield …01111100 (a large positive number if interpreted as signed bits).Since the standard allows implementation-defined choices, outcomes can differ across platforms.


Verification / Alternative check:
Consult your compiler’s documentation or test with a small program to see whether -8 >> 1 yields -4 (arithmetic) or something else (logical).


Why Other Options Are Wrong:

“Incorrect — the C standard mandates logical/arithmetic shift”: No, it does not mandate one fixed behavior for signed right shifts.“Undefined behavior”: It is implementation-defined, not undefined.“Always equals division by 2”: Only if arithmetic shift is used and rounding rules align; not guaranteed.


Common Pitfalls:
Assuming all compilers use arithmetic shift; writing portable code that depends on a specific signed shift behavior.


Final Answer:
Correct — it is implementation-defined and may differ by compiler or CPU.

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