Multidimensional array, Data Structure & Algorithms

Assignment Help:

Q. The system allocates the memory for any of the multidimensional array from a big single dimensional array. Describe two mapping schemes that help us to store the two dimensional metrics in the one-dimensional array.    

Ans.

A two dimensional array is declared similar in the way we declare the one-dimensional array except that we state the number of elements in both the dimensions. For example,

int grades[3][4];

The first bracket ([3]) tells about the compiler that we are declaring in the 3 pointers, each of which is pointing to an array. Here we are not talking about a pointer variable or the pointer array. Instead, here we are saying that each element of the first dimension of the two dimensional array reference a corresponding second dimension. In the example we have, all the arrays pointed to by the first index are having the same size. The second index can be of the variable size. For example, the earlier statement declares a two- dimensional array in which there are 3 elements in the first dimension and 4 elements are there in the second dimension.

Two-dimensional array can be represented in memory in the following two ways:

1. The Row major representation technique: To attain this linear representation, the first row of the array is stored in the first memory locations or addresses reserved for the array, then the second row and so on.

2. The Column major representation technique: In this all the elements of the column are saved next to one another. In the row major representation, the address is calculated and obtained in a two dimensional array as per the following formula

The address of a[i][j]=base(a)+(i*m+ j)*size, where the base(a) is the address or location of a[0][0], m is second dimension of array a and size represent size of the data type.


Related Discussions:- Multidimensional array

Add the special form let to the metacircular interpreter, (1)  (i) Add the ...

(1)  (i) Add the special form let to the metacircular interpreter Hint: remember let is just syntactic sugar for a lambda expression and so a rewrite to the lambda form is all t

Stack, infix to revrse polish

infix to revrse polish

Infix expression has balanced parenthesis or not, Q. By making use of stack...

Q. By making use of stacks, write an algorithm to determine whether the infix expression has balanced parenthesis or not.

Declaring a two dimensional array, Declaring a two dimensional array   A...

Declaring a two dimensional array   A two dimensional array is declared same to the way we declare a one-dimensional array except that we state the number of elements in both di

Tree structure, We would like to implement a 2-4Tree containing distinct in...

We would like to implement a 2-4Tree containing distinct integer keys. This 2-4Tree is defined by the ArrayList Nodes of all the 2-4Nodes in the tree and the special 2-4Node Root w

Determine the algorithm for z-buffer method, Algorithm for Z-Buffer Method ...

Algorithm for Z-Buffer Method (a)  Initialize every pixel in the viewport to the smallest value of z, namely z0 the z-value of the rear clipping plane or "back-ground". Store a

Average case anaysis, what is the impoartance of average case analysis of ...

what is the impoartance of average case analysis of algorithm

State about the pseudocode, State the Introduction to pseudocode No spe...

State the Introduction to pseudocode No specific programming language is referred to; development of algorithms by using pseudocode uses generic descriptions of branching, loop

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd