C data types and ranges: evaluate the claim “Range of float is from -2.25e+308 to +2.25e+308.” Assume a typical C implementation targeting IEEE-754 formats unless explicitly stated otherwise.

Introduction / Context:In the C language, floating-point ranges depend on the underlying representation, which on most modern systems follows IEEE-754. Knowing the typical limits for float (single precision), double (double precision), and long double helps you choose the right type without overflow or underflow surprises. This question tests whether a quoted range matches the usual capacity of a float.

Given Data / Assumptions:

• Typical C implementation using IEEE-754 formats.
• float is usually 32-bit single precision; double is usually 64-bit double precision.
• We evaluate the statement “float range is about ±2.25e+308”.

Concept / Approach:IEEE-754 single precision (float) has approximately 7 decimal digits of precision and a maximum finite magnitude near 3.4e+38. IEEE-754 double precision (double) has roughly 15–16 digits and a maximum finite magnitude near 1.7e+308. Therefore, a bound as high as 2.25e+308 cannot describe float; it is closer to, but still not exactly, the double limit.

Step-by-Step Solution:

Verification / Alternative check:On a standard system, printing FLT_MAX and DBL_MAX from will show approximately 3.402823e+38 and 1.797693e+308, respectively, confirming the reasoning.

Why Other Options Are Wrong:

Common Pitfalls:Confusing float with double, or assuming all platforms use identical sizes while ignoring standard macros like FLT_MAX and DBL_MAX.

Final Answer:Incorrect.