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Which of the following statements are CORRECT?
1) Static allocation of all data areas by a compiler makes it impossible to implement recursion.
2) Automatic garbage collection is essential to implement recursion
3) Dynamic allocation of activation records is essential to implement recursion
4) Both heap and stack are essential to implement recursion
- a)1 and 2 only
- b)2 and 3 only
- c)3 and 4 only
- d)1 and 3 only
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following statements are CORRECT?1) Static allocation of ...
Statement 1 – True
Dynamic memory allocation is necessary for implementing recursion because the number of function calls is not known in advance, requiring the use of a function call stack.
Statement 2 – False
Automatic garbage collection is not essential for recursion implementation, as languages provide specific functions for manual memory management.
Statement 3 – True
Dynamic memory allocation is required for recursion since the exact number of function calls cannot be predetermined.
Statement 4 – False
Recursion requires a stack structure. If a heap is used, it must be simulated as a stack for recursion purposes. The heap is generally used for user-driven dynamic memory allocation and is not needed for function calls. Thus, both stack and heap are not required simultaneously; either one is sufficient to implement recursion.
Therefore, statements 1 and 3 are true.
Most Upvoted Answer
Which of the following statements are CORRECT?1) Static allocation of ...
Understanding Recursion and Memory Allocation
Recursion is a fundamental concept in computer science where a function calls itself to solve a problem. The implementation of recursion relies heavily on memory management techniques. Let's evaluate the correctness of the statements provided:
1) Static Allocation of All Data Areas by a Compiler Makes It Impossible to Implement Recursion
- Static allocation reserves memory at compile time and does not allow for dynamic changes during execution.
- This limitation indeed makes it impossible to handle multiple recursive calls, as all instances of a recursive function would try to use the same memory space.
2) Automatic Garbage Collection is Essential to Implement Recursion
- While garbage collection helps manage memory efficiently, it is not essential for recursion.
- Recursion can function without garbage collection, as long as the memory for each function call is properly managed.
3) Dynamic Allocation of Activation Records is Essential to Implement Recursion
- Activation records (or stack frames) hold information about function calls, including local variables and return addresses.
- Dynamic allocation of these records allows for multiple instances of a recursive function to exist simultaneously, making this statement correct.
4) Both Heap and Stack are Essential to Implement Recursion
- Recursion primarily uses the stack for managing function calls.
- The heap is not essential for recursion, as it is typically used for dynamic memory allocation not related to function call management.
Conclusion
Based on the analysis:
- Statements 1 and 3 are correct.
- Therefore, the correct answer is option 'D' (1 and 3 only).
This highlights the critical importance of stack management in recursion, while clarifying that garbage collection and heap memory are not strictly necessary for recursive function execution.
Recursion is a fundamental concept in computer science where a function calls itself to solve a problem. The implementation of recursion relies heavily on memory management techniques. Let's evaluate the correctness of the statements provided:
1) Static Allocation of All Data Areas by a Compiler Makes It Impossible to Implement Recursion
- Static allocation reserves memory at compile time and does not allow for dynamic changes during execution.
- This limitation indeed makes it impossible to handle multiple recursive calls, as all instances of a recursive function would try to use the same memory space.
2) Automatic Garbage Collection is Essential to Implement Recursion
- While garbage collection helps manage memory efficiently, it is not essential for recursion.
- Recursion can function without garbage collection, as long as the memory for each function call is properly managed.
3) Dynamic Allocation of Activation Records is Essential to Implement Recursion
- Activation records (or stack frames) hold information about function calls, including local variables and return addresses.
- Dynamic allocation of these records allows for multiple instances of a recursive function to exist simultaneously, making this statement correct.
4) Both Heap and Stack are Essential to Implement Recursion
- Recursion primarily uses the stack for managing function calls.
- The heap is not essential for recursion, as it is typically used for dynamic memory allocation not related to function call management.
Conclusion
Based on the analysis:
- Statements 1 and 3 are correct.
- Therefore, the correct answer is option 'D' (1 and 3 only).
This highlights the critical importance of stack management in recursion, while clarifying that garbage collection and heap memory are not strictly necessary for recursive function execution.
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Which of the following statements are CORRECT?1) Static allocation of all data areas by a compiler makes it impossible to implement recursion.2) Automatic garbage collection is essential to implement recursion3) Dynamic allocation of activation records is essential to implement recursion4) Both heap and stack are essential to implement recursiona)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1 and 3 onlyCorrect answer is option 'D'. Can you explain this answer?
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