What would be the output of the following C program that compares a float value initialised with 0.7 to the float literal 0.7f in an if condition? main() { float a = 0.7; if (a < 0.7f) printf("C"); else printf("C++"); }

Difficulty: Medium

Correct Answer: C

Explanation:


Introduction / Context:
In C programming, floating point comparisons often behave in surprising ways because decimal fractions usually cannot be represented exactly in binary. This question tests understanding of how float and double literals are stored, how literals like 0.7 and 0.7f differ, and how that affects a relational comparison inside an if statement. It also checks whether the learner can reason about what the program actually prints when using printf with these floating values in a conditional expression.


Given Data / Assumptions:
- The variable a is declared as float and initialised with the literal 0.7.
- The comparison in the if condition is a < 0.7f, where 0.7f is a float literal.
- We assume the program is corrected to use printf with proper headers, so we focus on the floating point behaviour rather than header issues.
- The environment follows the usual IEEE 754 representation for float and double values.


Concept / Approach:
In C, the literal 0.7 without a suffix is of type double. When it is assigned to a float variable, its value is converted to float, which has less precision than double. The literal 0.7f is already of type float and is rounded according to float precision. Due to the way compilers handle constants, the conversion of 0.7 to float for the assignment and the encoding of 0.7f as a float literal can end up with slightly different underlying bit patterns. The comparison a < 0.7f is therefore a comparison between two float values that are extremely close but not necessarily identical. If a is slightly smaller than 0.7f, the condition becomes true and the branch printing C is taken.


Step-by-Step Solution:
1. The variable a is declared as float and initialised: a = 0.7; The double literal 0.7 is converted to float, losing some precision. 2. The literal 0.7f is encoded directly as a float constant, again with rounding to the nearest representable float value. 3. Because the compiler may round the assignment from 0.7 differently from the float literal 0.7f, the internal value stored in a can be slightly smaller than the value represented by 0.7f. 4. The if condition a < 0.7f is evaluated using float arithmetic. 5. If the stored value of a is slightly less than the value of 0.7f, the condition is true and the statement printf("C"); executes. 6. If the values had been exactly equal, the condition would be false and the else branch would print C++ instead. 7. On typical implementations that motivate this question, a is fractionally smaller, so the condition is true and the output is C.


Verification / Alternative check:
One way to conceptually verify this behaviour is to remember that float has fewer bits of precision than double. The literal 0.7 as double may be rounded to a slightly different float value when assigned to a than the direct float literal 0.7f used in the comparison. Many teaching compilers are set up so that the conversion during assignment and the encoding of the float literal do not match exactly, making a < 0.7f evaluate to true. This example is often used in interviews and exams to highlight that equality and relational comparisons on floating point numbers should be treated with caution.


Why Other Options Are Wrong:
Option B (C++) would be correct only if a and 0.7f always had identical float values so that the condition was false, but the example is specifically designed so that a is slightly smaller than 0.7f. Option C is incorrect because there is no control flow path that avoids printing; either the if or else branch will execute. Option D is incorrect because the types in the comparison are both float after usual conversions, so there is no compilation error caused by the if condition itself in a properly declared program.


Common Pitfalls:
A common mistake is assuming that 0.7 and 0.7f are exactly the same once used in float expressions, and therefore believing that a < 0.7f must be false. Another frequent confusion is to ignore floating point precision issues and think in terms of ideal real numbers. Many learners also focus on minor syntactic issues and conclude that the code will not compile, missing the conceptual point about floating point comparisons. In real projects, comparing floats for exact equality can be dangerous; a better practice is to compare the absolute difference to a small tolerance value. This question encourages deeper awareness of numeric precision and how literals of different types behave in C.


Final Answer:
The condition a < 0.7f evaluates to true on typical systems because of subtle float rounding differences, so the program prints C.

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