The Precision Paradox

What this C++ precision and type-conversion question tests

This is a hard C++ question that probes deep understanding of floating-point representation, type coercion, and operator precedence. It rewards candidates who reason carefully about how the compiler handles mixed numeric types and implicit conversions—skills that matter in systems programming and low-latency trading systems where subtle bugs can cascade.

To solve problems like this, you must trace through the exact sequence of operations, understand how C++ promotes and converts between integral and floating-point types, and recognize where precision is lost or preserved. The question tests whether you can predict program behaviour without running it—a key signal of deep language knowledge rather than surface familiarity.

• Floating-point representation and rounding
• Implicit type promotion and casting rules
• Order of evaluation and operator precedence
• Loss of precision in narrowing conversions