Java operators — which two expressions are equivalent among the following?

1) 3/2
2) 3

Q: Java operators — which two expressions are equivalent among the following?\n\n1) 3/2\n2) 3<2\n3) 34\n4) 3<<2\n\nAssume integer arithmetic and Java precedence.

Introduction / Context: This question compares basic arithmetic with shift operations to see which yield the same result for constant integers, reinforcing that left shift by n multiplies by 2^n for non-overflowing operands. Given Data / Assumptions: All literals are int. Left shift by 2 equals multiply by 4 when no overflow occurs. Concept / Approach: Evaluate each expression: integer division truncates, comparison yields boolean, multiplication is straightforward, and left shift scales by a power of two. Compare the numeric outcomes for equality. Step-by-Step Solution: 1) 3/2 → integer division → 1.2) 3<2 → boolean false (not an int value).3) 34 → 12.4) 3<<2 → 3 * 2^2 = 12.Thus, 3 and 4 are equivalent. Verification / Alternative check: Binary form: 3 is 0b0011; shifting left by 2 → 0b1100 = 12, matching 3*4. Why Other Options Are Wrong: Options with 1 or 2 cannot equal 12; 1 is 1 and 2 is boolean. Common Pitfalls: Forgetting that << is arithmetic scaling for non-overflowing positive ints; also mixing boolean and numeric expressions. Final Answer: 3 and 4

Question

Java operators — which two expressions are equivalent among the following?

1) 3/2
2) 3<2
3) 34
4) 3<<2

Assume integer arithmetic and Java precedence.

Accepted Answer

Introduction / Context: This question compares basic arithmetic with shift operations to see which yield the same result for constant integers, reinforcing that left shift by n multiplies by 2^n for non-overflowing operands. Given Data / Assumptions: All literals are int. Left shift by 2 equals multiply by 4 when no overflow occurs. Concept / Approach: Evaluate each expression: integer division truncates, comparison yields boolean, multiplication is straightforward, and left shift scales by a power of two. Compare the numeric outcomes for equality. Step-by-Step Solution: 1) 3/2 → integer division → 1.2) 3<2 → boolean false (not an int value).3) 34 → 12.4) 3<<2 → 3 * 2^2 = 12.Thus, 3 and 4 are equivalent. Verification / Alternative check: Binary form: 3 is 0b0011; shifting left by 2 → 0b1100 = 12, matching 3*4. Why Other Options Are Wrong: Options with 1 or 2 cannot equal 12; 1 is 1 and 2 is boolean. Common Pitfalls: Forgetting that << is arithmetic scaling for non-overflowing positive ints; also mixing boolean and numeric expressions. Final Answer: 3 and 4

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