Which range corresponds to long double on Turbo C under 16-bit DOS (extended-precision format)? Choose the option that matches the typical 80-bit extended range.

Difficulty: Medium

Correct Answer: 3.4E-4932 to 1.1E+4932

Explanation:


Introduction:
Older Turbo C compilers on 16-bit DOS used the x87 extended-precision format for long double. This question checks recognition of its characteristic magnitude range.


Given Data / Assumptions:

  • Platform: Turbo C on 16-bit DOS
  • Type: long double (extended precision)
  • Focus: approximate exponent limits


Concept / Approach:
The x87 80-bit extended format offers roughly 64 bits of significand precision and a very wide exponent range. Typical documented magnitude limits for long double in that environment are about 3.4E-4932 (min positive normalized) to about 1.1E+4932 (max).


Step-by-Step Solution:
1) Recall extended-precision exponent range around ±4932 in base 10.2) Note that min and max are not symmetric because of significand normalization and representation.3) Among the given choices, 3.4E-4932 to 1.1E+4932 matches the common documentation.


Verification / Alternative check:
Consult classic Turbo C reference tables or LDBL_MAX and related macros in headers for that toolchain; they align with the selected range.


Why Other Options Are Wrong:
3.4E-4932 to 3.4E+4932: upper bound is too small.1.1E-4932 to 1.1E+4932: lower bound format is inconsistent with typical documentation.1.7E-4932 to 1.7E+4932: values do not correspond to standard references.


Common Pitfalls:
Confusing modern compilers' long double (which can be 80-bit, 64-bit, or 128-bit depending on platform) with historical Turbo C behavior. Always verify against the specific toolchain.


Final Answer:
3.4E-4932 to 1.1E+4932

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