Chapter 7: Problem 54

The subscript of the last element in a single-dimensional array is one less than the total number of elements in the array.

Short Answer

Expert verified

Answer: The subscript of the last element in a single-dimensional array is always one less than the total number of elements in the array.

Step by step solution

Understand Arrays

A single-dimensional array is a data structure that consists of a collection of elements, all of the same type, which can be accessed using an index or a subscript. The number of elements in the array is referred to as the "size" or "length" of the array. Each element is stored in a continuous memory location, and the index is used to reference each position. The first element's index in an array is 0.

Understand Indexing

The numbering system for arrays in programming languages usually starts with 0, meaning that the first element's index will be 0, the second element's index will be 1, and so on. The last element's index will be one less than the total number of elements present in the array, as the counting starts from 0.

Array Example

Let's consider an example to further clarify the concept: Suppose we have an array of length 5 (having 5 elements), with the following elements: Array: [10, 20, 30, 40, 50] In this case, the total number of elements in the array is 5. Let's see how indexing works for this array: - The first element (10) has an index of 0. - The second element (20) has an index of 1. - The third element (30) has an index of 2. - The fourth element (40) has an index of 3. - The last element (50) has an index of 4.

Conclusion

As we can see, the index of the last element in this example (50) is indeed one less than the total number of elements in the array, which is 5. This confirms that in a single-dimensional array, the subscript of the last element is always one less than the array's total number of elements.

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The subscript of the last element in a single-dimensional array is one less than the total number of elements in the array.

Short Answer

Step by step solution

Understand Arrays

Understand Indexing

Array Example

Conclusion

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