Suppose an array with six rows and eight columns is stored...

Name: Problem 2, Chapter 8: Computer Science - An Overview
Uploaded: 2023-01-16T19:00:26-08:00
Duration: 2 min 18 s
Channel: Patina Herring
Description: Suppose an array with six rows and eight columns is stored in row major order starting at address -50 (base 10 ). If each entry in the array requires two memory cells, what is the address of the entry in the fifth row and seventh column? What if each entry requires three memory cells?

Suppose an array with six rows and eight columns is stored in row major order starting at address -50 (base 10 ). If each entry in the array requires two memory cells, what is the address of the entry in the fifth row and seventh column? What if each entry requires three memory cells?

Key Concepts

Element Size and Memory Allocation

The size of each element, measured in terms of memory cells or bytes, directly affects the offset calculation in the array. Multiplying the element's size by the computed index offset gives the precise distance in memory from the base address to the desired element, allowing for adjustments when the element size changes.

Row-Major Order

Row-major order is a method of storing multi-dimensional arrays in linear memory where consecutive elements of a row are stored next to each other. In a row-major system, to calculate the memory offset of a specific element, you sum the product of the row index with the number of columns and the column index, emphasizing the sequential storage of complete rows.

Array Indexing and Offset Calculation

In multi-dimensional arrays, indexing translates into an offset calculation that determines where each element is stored relative to a base address. The effective offset is calculated by multiplying the row index by the total number of columns, adding the column index, and then multiplying by the size of each element. This provides a systematic way to access any element using its row and column indices.

Base Address

The base address is the starting memory location where the array storage begins. All calculations for accessing subsequent elements are made relative to this base address by adding the computed offset, taking into account the size of each array element.

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