True or False: In a stack implemented using an array, the size of the stack is fixed, andelements can only be added or removed from the top of the stack.

Breakdown of the Problem

1. Analyze the characteristics of a stack data structure.
2. Assess the properties of a stack implemented using an array.

Relevant Concepts

1. A stack follows the Last In First Out (LIFO) principle, meaning that the last element added to the stack is the first one to be removed.
2. When a stack is implemented using an array, its size is typically fixed, determined at the time of allocation.

Analysis and Detail

1. Fixed Size: In array-based implementations, once the array size is defined, it cannot dynamically grow or shrink. This means if the defined size is reached, no more elements can be added unless some are removed first.
2. Add/Remove Operations: The stack allows elements to be added (pushed) or removed (popped) only from the top, adhering to the LIFO principle.

Verify and Summarize

Based on the properties of a stack implemented using an array, both statements are true: the size is fixed, and operations occur only at the top.

Final Answer

True: In a stack implemented using an array, the size of the stack is fixed, and elements can only be added or removed from the top of the stack.