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ALGORITHMS AND FLOWCHARTS
K. Gowri MCA., M.Phil.,SET., (Ph.D)
Assistant Professor, Dept of CSCS
SRCAS
UNIT-I
ALGORITHMS AND
FLOWCHARTS
 A typical programming task can be divided into two phases:
 Problem-solving phase
 produce an ordered sequence of steps that describe solution
of the problem
 this sequence of steps is called an algorithm
 Implementation phase
 implement the program in some programming language
Steps in Problem Solving
 First produce a general algorithm (one can use
pseudocode)
 Refine the algorithm successively to get step by
step detailed algorithm that is very close to a
computer language.
 Pseudocode is an artificial and informal language
that helps programmers develop algorithms.
Pseudocode is very similar to everyday English.
Pseudocode & Algorithm
 Example 1: Write an algorithm to determine a student’s final grade and
indicate whether it is passing or failing. The final grade is calculated as
the average of four marks.
Pseudocode & Algorithm
Pseudocode:
 Input a set of 4 marks
 Calculate their average by summing and dividing
by 4
 if average is below 50
Print “FAIL”
else
Print “PASS”
Pseudocode & Algorithm
 Detailed Algorithm
 Step 1: Input M1,M2,M3,M4
Step 2: GRADE  (M1+M2+M3+M4)/4
Step 3: if (GRADE < 50) then
Print “FAIL”
else
Print “PASS”
endif
The Flowchart
 (Dictionary) A schematic representation of a sequence
of operations, as in a manufacturing process or
computer program.
 (Technical) A graphical representation of the sequence
of operations in an information system or program.
 Information system flowcharts show how data flows from
source documents through the computer to final distribution
to users.
 Program flowcharts show the sequence of instructions in a
single program or subroutine. Different symbols are used to
draw each type of flowchart.
The Flowchart
A Flowchart
shows logic of an algorithm
emphasizes individual steps and their
interconnections
e.g. control flow from one action to the
next
Flowchart Symbols
Oval
Parallelogram
Rectangle
Diamond
Hybrid
Name Symbol Use in Flowchart
Denotes the beginning or end of the program
Denotes an input operation
Denotes an output operation
Denotes a decision (or branch) to be made.
The program should continue along one of
two routes. (e.g. IF/THEN/ELSE)
Denotes a process to be carried out
e.g. addition, subtraction, division etc.
Flow line Denotes the direction of logic flow in the program
Example
PRINT
“PASS”
Step 1: Input M1,M2,M3,M4
Step 2: GRADE  (M1+M2+M3+M4)/4
Step 3: if (GRADE <50) then
Print “FAIL”
else
Print “PASS”
endif
START
Input
M1,M2,M3,M4
GRADE(M1+M2+M3+M4)/4
IS
GRADE<5
0
PRINT
“FAIL”
STOP
Y
N
Example 2
 Write an algorithm and draw a flowchart to convert the length in feet to
centimeters.
Pseudocode:
 Input the length in feet (Lft)
 Calculate the length in cm (Lcm) by multiplying LFT with 30
 Print length in cm (LCM)
Example 2
Algorithm
 Step 1: Input Lft
 Step 2: Lcm  Lft x 30
 Step 3: Print Lcm
START
Input
Lft
Lcm  Lft x 30
Print
Lcm
STOP
Flowchart
Example 3
Write an algorithm and draw a flowchart that
will read the two sides of a rectangle and
calculate its area.
Pseudocode
 Input the width (W) and Length (L) of a rectangle
 Calculate the area (A) by multiplying L with W
 Print A
Example 3
Algorithm
 Step 1: Input W,L
 Step 2: A  L x W
 Step 3: Print A
START
Input
W, L
A  L x W
Print
A
STOP
Flowcharts
 Flowcharts is a graph used to depict or show a
step by step solution using symbols which
represent a task.
 The symbols used consist of geometrical shapes
that are connected by flow lines.
 It is an alternative to pseudocoding; whereas a
pseudocode description is verbal, a flowchart is
graphical in nature.
15
Flowchart Symbols
Terminal symbol - indicates the beginning and
end points of an algorithm.
Process symbol - shows an instruction other than
input, output or selection.
Input-output symbol - shows an input or an output
operation.
Disk storage I/O symbol - indicates input from or output to
disk storage.
Printer output symbol - shows hardcopy printer
output.
Flowchart Symbols cont…
Selection symbol - shows a selection process
for two-way selection.
Off-page connector - provides continuation of a
logical path on another page.
On-page connector - provides continuation
of logical path at another point in the same
page.
Flow lines - indicate the logical sequence of
execution steps in the algorithm.
Flowchart – sequence control structure
18
Statement 2
Statement 1
Statement 3
:
Flowchart – selection control structure
19
Condition
else-
statement(s)
then-
statement(s)
Yes
No
Flowchart – repetition control structure
Principles of Programming - NI July 2005
20
Condition
Loop
Statement(s)
yes
no
Flowchart – example 1
Principles of Programming - NI July 2005
21
Begin
Read birth date
Calculate
Age = current year – birth date
Display
age
End
Flowchart – example 2
Principles of Programming - NI July 2005
22
Begin
Read age
End
Age > 55? NO
YES
print “Pencen” print “Kerja lagi”
Flowchart – example 5
Principles of Programming - NI July 2005
23
Begin
End
current_number <= 10?
NO
YES
sum = 0
current_number = 1
sum = sum + current_number
current_number = current_number + 1
print sum
Exercises: Algorithm & Flowchart
1) Create an algorithm and a flowchart that will accept/read two numbers and
then display the bigger number.
Exercises: Algorithm & Flowchart
2) Create an algorithm and a flowchart that will compute the area of a circle.
Assignment 1
1. Create an algorithm and a flowchart that will
output for g.c.d.
2. Create an algorithm and a flowchart that will
output the factorial of a given number.
3. Create an algorithm and a flowchart that will
output the Fibonacci series up to a given number.
4. Create an algorithm and a flowchart that will
output all the prime numbers between 2 numbers.

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Algorithms and Flowchart.ppt

  • 1. ALGORITHMS AND FLOWCHARTS K. Gowri MCA., M.Phil.,SET., (Ph.D) Assistant Professor, Dept of CSCS SRCAS UNIT-I
  • 2. ALGORITHMS AND FLOWCHARTS  A typical programming task can be divided into two phases:  Problem-solving phase  produce an ordered sequence of steps that describe solution of the problem  this sequence of steps is called an algorithm  Implementation phase  implement the program in some programming language
  • 3. Steps in Problem Solving  First produce a general algorithm (one can use pseudocode)  Refine the algorithm successively to get step by step detailed algorithm that is very close to a computer language.  Pseudocode is an artificial and informal language that helps programmers develop algorithms. Pseudocode is very similar to everyday English.
  • 4. Pseudocode & Algorithm  Example 1: Write an algorithm to determine a student’s final grade and indicate whether it is passing or failing. The final grade is calculated as the average of four marks.
  • 5. Pseudocode & Algorithm Pseudocode:  Input a set of 4 marks  Calculate their average by summing and dividing by 4  if average is below 50 Print “FAIL” else Print “PASS”
  • 6. Pseudocode & Algorithm  Detailed Algorithm  Step 1: Input M1,M2,M3,M4 Step 2: GRADE  (M1+M2+M3+M4)/4 Step 3: if (GRADE < 50) then Print “FAIL” else Print “PASS” endif
  • 7. The Flowchart  (Dictionary) A schematic representation of a sequence of operations, as in a manufacturing process or computer program.  (Technical) A graphical representation of the sequence of operations in an information system or program.  Information system flowcharts show how data flows from source documents through the computer to final distribution to users.  Program flowcharts show the sequence of instructions in a single program or subroutine. Different symbols are used to draw each type of flowchart.
  • 8. The Flowchart A Flowchart shows logic of an algorithm emphasizes individual steps and their interconnections e.g. control flow from one action to the next
  • 9. Flowchart Symbols Oval Parallelogram Rectangle Diamond Hybrid Name Symbol Use in Flowchart Denotes the beginning or end of the program Denotes an input operation Denotes an output operation Denotes a decision (or branch) to be made. The program should continue along one of two routes. (e.g. IF/THEN/ELSE) Denotes a process to be carried out e.g. addition, subtraction, division etc. Flow line Denotes the direction of logic flow in the program
  • 10. Example PRINT “PASS” Step 1: Input M1,M2,M3,M4 Step 2: GRADE  (M1+M2+M3+M4)/4 Step 3: if (GRADE <50) then Print “FAIL” else Print “PASS” endif START Input M1,M2,M3,M4 GRADE(M1+M2+M3+M4)/4 IS GRADE<5 0 PRINT “FAIL” STOP Y N
  • 11. Example 2  Write an algorithm and draw a flowchart to convert the length in feet to centimeters. Pseudocode:  Input the length in feet (Lft)  Calculate the length in cm (Lcm) by multiplying LFT with 30  Print length in cm (LCM)
  • 12. Example 2 Algorithm  Step 1: Input Lft  Step 2: Lcm  Lft x 30  Step 3: Print Lcm START Input Lft Lcm  Lft x 30 Print Lcm STOP Flowchart
  • 13. Example 3 Write an algorithm and draw a flowchart that will read the two sides of a rectangle and calculate its area. Pseudocode  Input the width (W) and Length (L) of a rectangle  Calculate the area (A) by multiplying L with W  Print A
  • 14. Example 3 Algorithm  Step 1: Input W,L  Step 2: A  L x W  Step 3: Print A START Input W, L A  L x W Print A STOP
  • 15. Flowcharts  Flowcharts is a graph used to depict or show a step by step solution using symbols which represent a task.  The symbols used consist of geometrical shapes that are connected by flow lines.  It is an alternative to pseudocoding; whereas a pseudocode description is verbal, a flowchart is graphical in nature. 15
  • 16. Flowchart Symbols Terminal symbol - indicates the beginning and end points of an algorithm. Process symbol - shows an instruction other than input, output or selection. Input-output symbol - shows an input or an output operation. Disk storage I/O symbol - indicates input from or output to disk storage. Printer output symbol - shows hardcopy printer output.
  • 17. Flowchart Symbols cont… Selection symbol - shows a selection process for two-way selection. Off-page connector - provides continuation of a logical path on another page. On-page connector - provides continuation of logical path at another point in the same page. Flow lines - indicate the logical sequence of execution steps in the algorithm.
  • 18. Flowchart – sequence control structure 18 Statement 2 Statement 1 Statement 3 :
  • 19. Flowchart – selection control structure 19 Condition else- statement(s) then- statement(s) Yes No
  • 20. Flowchart – repetition control structure Principles of Programming - NI July 2005 20 Condition Loop Statement(s) yes no
  • 21. Flowchart – example 1 Principles of Programming - NI July 2005 21 Begin Read birth date Calculate Age = current year – birth date Display age End
  • 22. Flowchart – example 2 Principles of Programming - NI July 2005 22 Begin Read age End Age > 55? NO YES print “Pencen” print “Kerja lagi”
  • 23. Flowchart – example 5 Principles of Programming - NI July 2005 23 Begin End current_number <= 10? NO YES sum = 0 current_number = 1 sum = sum + current_number current_number = current_number + 1 print sum
  • 24. Exercises: Algorithm & Flowchart 1) Create an algorithm and a flowchart that will accept/read two numbers and then display the bigger number.
  • 25. Exercises: Algorithm & Flowchart 2) Create an algorithm and a flowchart that will compute the area of a circle.
  • 26. Assignment 1 1. Create an algorithm and a flowchart that will output for g.c.d. 2. Create an algorithm and a flowchart that will output the factorial of a given number. 3. Create an algorithm and a flowchart that will output the Fibonacci series up to a given number. 4. Create an algorithm and a flowchart that will output all the prime numbers between 2 numbers.