#### Representation of One Dimensional Array in Memory

An array is represented in memory by using a sequential mapping. In sequential mapping every element is at a fixed distance apart.

The element at the very first position in the array is called its base address.

Here we have defined an array of five elements of integer type whose first index element is at base address 100. i.e, the element a[0] is stored at base address 100. Now for calculating the starting address of the next element i.e. of a[1], we can use the following formula :

##### Loc (a[j])= base of A + W( j – lower bound)

Here W represents the number of words per memory cell for the array ‘A’. Observe that the time taken to compute Loc(a[j]) is essentially the same for any value of j. Hence computer takes same time to access any element of the array.

##### Example

Suppose we have an array ‘A’ of integer type elements type elements having size 12 and its first element is stored at location 1500 i.e. its base address is 1500. Now find out the address of the 5^th element.

##### Formula

Loc A[J] = base of ‘A’ + W( J – LB)

A=1500

J= 4 [array indices starts from 0]

W= 2

Loc A(3) = 1500 + 2 ( 4 – 0 ) = 1580