Summary University{CSE} detailed notes for best exam performance
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Module
Engineering 2nd year
Institution
Engineering 2nd Year
these notes that are uploaded are the modules of some core subjects in the 2nd and 3rd year of ANY ENGINEERING[mainly CS and IS].
very very useful material pls share and buy and learn easily.FOR best EXAMS PERFORMANCE
DATA STRUCTURES
Data is collection of raw facts that have to be processed.
Information is processed data.
Data structure is a specialized format for organizing and storing data.
Classification of data structures
Data structures are classified into 2 types
1. Primitive Data Structures - These are data structures that are directly operated upon
by machine-level instructions.
Eg - integer, real(float), character, pointers
2. Non-primitive Data Structures - These are data structures that are derived from
Primitive data structures. The emphasis is on grouping of elements. They are further
classified into 3 types
a. Arrays – They are collection of homogeneous elements (elements of same type)
under the same name. The different types of arrays Are One-Dimensional Arrays,
Two-Dimensional Arrays And Multi-Dimensional Arrays.
b. Lists - They are collection of homogeneous elements. They are further classified
into 2 types
i. Linear Data Structure - They are collection of homogeneous elements which
have linear (adjacency) relationship.
Eg. Stacks , Queues, Linked List
ii. Non-Linear Data Structure - They are collection of homogeneous elements
where an element is connected to several other elements.
Eg. Trees , Graphs
c. Files - They are collection of heterogeneous elements (elements of different
types)
Operations on Primitive Data Structures
1. Create Operation – It is used to create a new data structure by reserving memory
space.
Eg. int a;
2. Destroy Operation – It is used to destroy or remove the data structure by de-
allocating the memory that was allocated.
Eg. In C++, delete operator, destructor function are used for this purpose.
3. Select Operation – It is used to access the data within the data structure.
4. Update Operation – It is used to modify or change the data within the data
structure.
Eg. Assignment operator (=) int a=25;
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,Operations on Non-Primitive Data Structures(Arrays/Lists/Linear/Non-Linear)
1. Traversal Operation – It is the process of accessing each element exactly once to
perform some operation.
2. Searching Operation – It is the process of finding the location of an element in the
given collection of elements.
3. Sorting Operation – It is the process of arranging the elements in either ascending
or descending order.
4. Insertion Operation – It is the process of adding a new element into the given
collection of elements.
5. Deletion Operation – It is the process of removing an existing element from the
given collection of elements.
6. Merging Operation – It is the process of combining the elements of two data
structures to form a single data structure.
ARRAYS
Types of Arrays
1. One-Dimensional Array – It is an array with only one row or one column. / It is an
array ordered in one-dimension. Each element of the array is accessed using one
subscript/index.
2. Two-Dimensional Array – It is an array ordered in two dimensions. Each element of
the array is accessed using two subscripts.
3. Multi-Dimensional Array – It is an array ordered in N dimensions where N>1. Each
element of the array is accessed using N subscripts.
One-Dimensional Array
Declaration Syntax
datatype arrayname[size];
Here datatype specifies the type of the elements stored in the array.
size specifies the number of elements that can be stored in the array.
Eg. int a[20];
Total Size (In Bytes)
Total size = size of the array * size of the datatype
Eg. int a[25];
Total size of array a = 25 * 2 = 50 bytes [ size of int datatype is 2 bytes]
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, Length of the Array
L = UB – LB + 1
Here, UB – Upper Bound – Index of the last element in the array
LB – Lower Bound – Index of the first element in the array
L – Length – No. of elements in the array
Eg. If UB = 23 and LB = 8. How many elements are there in the array?
L = 23 – 8 + 1 = 16 elements
Memory Representation of 1-Dimensional Array
Elements of 1-D array are stored in consecutive memory locations.
Eg. Consider an array A with 5 integer numbers. Memory representation of array A is as
shown below.
Element 35 67 98 12 21
Address 1000 1002 1004 1006 1008
Address of any element of an array can be calculated using the formula
LOC(A[P]) = BASE(A) + W(P - LB)
Here, P is the position of the array element whose address is being calculated
W is the size of the datatype of elements stored in the array.
LB is the position of the first element in the array.
BASE(A) is the base address of the array. [Base address is the address of
the first element in the array.
Eg. Consider an array A with 55 float numbers if the base address is 7352. Find the
address of A[24]
LOC (A[24]) = BASE(A) + W(P-LB)
= 7352 + 4(24-0)
= 7352 + 96
= 7448
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