Java bit operations — which two expressions evaluate to the same result? Expressions: 1) 32/4 2) (8 >> 2) << 4 3) 2^5 4) 128 >>> 2 5) 2 >> 5 Assume int arithmetic and default operator precedence.

Introduction / Context:This item tests knowledge of shift operators and clarifies that ^ is bitwise XOR, not exponentiation. You must determine which pair among the given expressions yields the same integer result.

Given Data / Assumptions:

• 32-bit signed int arithmetic.
• >> is arithmetic right shift; << is left shift; >>> is logical right shift; ^ is XOR.

Concept / Approach:Evaluate each expression explicitly. Compare the results to find equal pairs. Note that right-shifting 128 by 2 places (logical) gives 32. Composing shifts on 8 as shown produces another constant you can compute directly.

Step-by-Step Solution:

Verification / Alternative check:Quick mental binary: 128 is 1 at bit 7; shifting right 2 → bit 5 set → 32. For expression 2, 8 (bit 3) >> 2 → bit 1 (value 2); << 4 → bit 5 (value 32).

Why Other Options Are Wrong:

• Pairs including 1 or 5 do not match 32.
• Pair including 3 assumes XOR equals exponent; it does not.

Common Pitfalls:Confusing ^ with power and overlooking that logical vs arithmetic right shifts differ only for negative operands.

Final Answer:2 and 4