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What this IEEE 754 floating-point decoding question tests

This is a hard computer-architecture question that requires hands-on familiarity with the IEEE 754 double-precision (64-bit) standard. It tests whether you can correctly parse the bit layout—sign, exponent, and mantissa fields—and convert the encoded value back to decimal form.

Candidates need to understand how the sign bit, biased exponent, and fractional significand are laid out in memory; how to detect special values (zero, subnormal, infinity, NaN); and how to compute the final numerical result. This skill appears in systems programming, numerical computing, and low-level trading systems where precision and representation matter.

• IEEE 754 bit layout and field boundaries
• Exponent bias and normalization
• Rounding and edge cases (denormalized numbers, infinities)
• Binary-to-decimal conversion for fractional parts