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PROGRAMMING,
ALGORITHMS AND
FLOWCHARTS
What is Programming?
 Series of instructions to a computer to
accomplish a task
 Instructions must be written in a way the
computer can understand
 Programming languages are used to write
programs
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 problem
 this sequence of steps is called an algorithm
 Implementation phase
 implement the program in some programming
language
Devise an algorithm for cooking a sausage on a barbecue
Steps in Problem Solving
 First produce a general algorithm.
 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.
 Start with a general algorithm.
General 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”
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
Task: add two numbers
 Pseudocode:
Start
Get two numbers
Add them
Print the answer
End
Next Step - The Flowchart
 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 sequence of the flowchart and the algorithm MUST
match.
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
Basic
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
Module
Denotes a self-contained section of 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<50
PRINT
“FAIL”
STOP
Y
N
Control Structures
Represent the flow of logic through the programme.
There are four main control structures:
• Sequence
• Decision – incorporating if-then-else
• Repetition
• Case
Sequence Structure
• a series of actions are performed in sequence
START
Display message
“How many
hours did you
work?”
Read Hours
Display message
“How much do
you get paid per
hour?”
Read Pay Rate
Multiply Hours
by Pay Rate.
Store result in
Gross Pay.
Display Gross
Pay
END
This is the flowchart for a program which
calculates an employee’s gross pay.
Example 1
 Write an algorithm and draw a flowchart to
convert the length in feet to centimetres.
Pseudocode:
 Input the length in feet (Lft)
 Calculate the length in cm (Lcm) by
multiplying LFT with 30
 Print length in cm (LCM)
Example
Algorithm
 Step 1: Input Lft
 Step 2: Lcm  Lft x 30
 Step 3: Print Lcm
START
Input
Lft
Lcm  Lft x 30
STOP
Flowchart
Print
Lcm
Example 2
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 2
Algorithm
 Step 1: Input W,L
 Step 2: A  L x W
 Step 3: Print A
START
Input
W, L
A  L x W
STOP
Print
A
DECISION STRUCTURES
 One of two possible actions is taken, depending
on a condition.
Decision Structure
A new symbol, the diamond, indicates a yes/no question.
Decision Structures
 Sometimes only one choice is necessary
YES
NO
Example 1
 Pseudocode:
Start
Get year born
Calculate age
Print age
If age > 50 print OLD
End
 Flowchart
 Start
 Get year born
 Calculate age
 Print age
 If age > 50 print OLD
 End
Get yr
Calc age
Print age
Age>50
OLD
Y
N
Start
End
Decision Structure
 Sometimes two choices are offered. If the answer to the
question is yes, the flow follows one path. If the answer
is no, the flow follows another path
YES
NO
Decision Structure
 In the flowchart segment below, the question “is x < y?”
is asked. If the answer is no, then process A is
performed. If the answer is yes, then process B is
performed.
YES
NO
x < y
Process B
Process A
IF–THEN–ELSE STRUCTURE
 The structure is as follows
If condition then
true alternative
else
false alternative
IF–THEN–ELSE STRUCTURE
 The algorithm for the flowchart is as
follows:
If A>B then
print A
else
print B
is
A>B
Print
A
Print
B
N Y
Example 1
A ticket seller is issuing show tickets at the gate. When the patrons arrive,
he asks how old each one is. It they are under 12, they pay half price. If they
are 12 or over, they pay full price.
Algorithm
Get age
Age < 12?
If Age < 12
Then
Pay half price
Else
Pay full price
Flowchart
YES
NO
Begin
Input age
Age < 12
Half price
Full price
End
Example 2
 Write an algorithm that reads two values, determines the
largest value and prints the largest value with an
identifying message.
ALGORITHM
Step 1: Input VALUE1, VALUE2
Step 2: if (VALUE1 > VALUE2) then
MAX  VALUE1
else
MAX  VALUE2
endif
Step 3: Print “The largest value is”, MAX
Example 2
MAX  VALUE2
STOP
N Y
START
Input
VALUE1,VALUE2
MAX  VALUE1
is
VALUE1>VALUE2
Print
MAX
Example 3
 Write the algorithm and draw the flowchart
for the following:
 Enter two numbers, x and y. If x is less
than y, square x to give the result a,
otherwise, add x + y to give the result a.
YES
NO
x < y
Calculate a
as x times 2.
Calculate a
as x plus y.
Algorithm
Input x
Input y
x < y?
If x <y
Then
a = x^
Else
a = x+y
NESTED IFS
 One of the alternatives within an IF–
THEN–ELSE statement
may involve further IF–THEN–ELSE
statement
Programming algorithms and flowchart.ppt
Repetition Structure
Repetition (Iteration) Structure
 A repetition structure represents part of the program
that repeats. This type of structure is commonly
known as a loop.
Repetition Structure
 Notice the use of the diamond symbol. A loop tests a
condition, and if the condition exists, it performs an
action. Then it tests the condition again. If the
condition still exists, the action is repeated. This
continues until the condition no longer exists.
Repetition Structure
 In the flowchart segment, the question “is x < y?”
is asked. If the answer is yes, then Process A is
performed. The question “is x < y?” is asked
again. Process A is repeated as long as x is less
than y. When x is no longer less than y, the
repetition stops and the structure is exited.
x < y Process A
YES
x < y Add 1 to x
YES
So this might look like…
When would this loop exit?
The action performed by a repetition structure must eventually cause the loop to
terminate. Otherwise, an infinite loop is created.
In this flowchart segment, x is never changed. Once the loop starts, it will never
end.
QUESTION: How can this flowchart be modified so it is no longer an infinite
loop?
Out of Control!
x < y Display x
YES
This type of structure is known as a pre-test
repetition structure. The condition is tested
BEFORE any actions are performed.
Pre-test ( Before) Loop
x < y? Display x
Add 1 to x
YES
Post-test (After) Loop
This flowchart segment shows a
post-test repetition structure.
The condition is tested AFTER
the actions are performed.
A post-test repetition structure
always performs its actions at
least once.
Display x
Add 1 to x
YES
x < y
Case Structure
 One of several possible actions is taken, depending on
the contents of a variable.
 Used for MORE THAN TWO decisions
 The structure below indicates actions to
perform depending on the value in
years_employed.
CASE
years_employed
1 2 3 Other
bonus = 100 bonus = 200 bonus = 400 bonus = 800
CASE
years_employed
1 2 3 Other
bonus = 100 bonus = 200 bonus = 400 bonus = 800
If years_employed = 1,
bonus is set to 100
If years_employed = 2,
bonus is set to 200
If years_employed = 3,
bonus is set to 400
If years_employed is
any other value, bonus
is set to 800
Case Algorithm
Input a Grade
Case based on Grade
Case =100
Report “Perfect Score” (or suitable command eg Grade = Perfect)
Case > 89
Report “Grade = A”
Case > 79
Report “Grade = B”
Case > 69
Report “Grade = C”
Case > 59
Report “Grade = D”
Default (or Else)
Report “Grade = F”
End Case
Draw the Flowchart for the above example
CASE
grade
>89 >79 >69 > 59
Grade =A Grade = B Grade = C Grade = D
Flowchart
Grade = Perfect Grade = F
100 other
Construct the algorithm and the flowchart for the
following procedure:
An egg packing business needs to devise a
process to sort eggs for delivery to supermarkets.
If the eggs weigh 50 grams, they are Class A
eggs. If they weigh 60 grams, they are Class B
eggs. If they weigh 70 grams, they are Class C
eggs. If they weigh more than 70 grams, they are
Class D eggs.
Input a Weight
Case based on Weight
Case =50
Class = A
Case =60
Class = B
Case = 70
Class = C
Case > 70
Class = D
OR
Default/ Else Class = D
End Case
Algorithm
CASE
weight
50 60 70 > 70
Class =A Class = B Class = C Class = D
Flowchart
Modules (stepwise refinement)
A program module is a part of a program that
makes sense on its own, just like a paragraph
in an essay should make sense on its own. In
large programs, such as those used in
industry, programs are developed as
separate modules and then put together.
The process of representing modules in
flowcharts is known as stepwise refinement.
You will look at this more closely when you
start programming.
•The position of the module
symbol indicates the point the
module is executed.
•A separate flowchart can be
constructed for the module.
START
END
Read Input.
Call calc_pay
function.
Display results.
START
Display message
“How many
hours did you
work?”
Read Hours
Display message
“How much do
you get paid per
hour?”
Read Pay Rate
Multiply Hours
by Pay Rate.
Store result in
Gross Pay.
Display Gross
Pay
END
A simpler example… could look like
CASE
weight
50 60 70 > 70
Class =A Class = B Class = C Class =
D
Input weight
Calculate class
Display class
A complete program example
When you use stepwise refinement, the complete, refined flowchart is drawn first.
Then the modules are named and drawn in order.
This program lists the AFL team name and points total for all teams that have a full-forward from the AFL competition
who has kicked at least 10 goals.
Startup
Headings
MainLoop
AFL
Goals >= 10
Check
goals
Check pos
Check goals
Check conf
Finish
Although this procedure is listed as a module in the opening flow chart, it’s
unsuitable. Why?
Ad

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Programming algorithms and flowchart.ppt

  • 2. What is Programming?  Series of instructions to a computer to accomplish a task  Instructions must be written in a way the computer can understand  Programming languages are used to write programs
  • 3. 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 problem  this sequence of steps is called an algorithm  Implementation phase  implement the program in some programming language
  • 4. Devise an algorithm for cooking a sausage on a barbecue
  • 5. Steps in Problem Solving  First produce a general algorithm.  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.
  • 6. 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.  Start with a general algorithm.
  • 7. General 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”
  • 8. 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
  • 9. Task: add two numbers  Pseudocode: Start Get two numbers Add them Print the answer End
  • 10. Next Step - The Flowchart  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 sequence of the flowchart and the algorithm MUST match.
  • 11. 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
  • 12. Flowchart Symbols Basic 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 Module Denotes a self-contained section of the program
  • 13. 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<50 PRINT “FAIL” STOP Y N
  • 14. Control Structures Represent the flow of logic through the programme. There are four main control structures: • Sequence • Decision – incorporating if-then-else • Repetition • Case
  • 15. Sequence Structure • a series of actions are performed in sequence START Display message “How many hours did you work?” Read Hours Display message “How much do you get paid per hour?” Read Pay Rate Multiply Hours by Pay Rate. Store result in Gross Pay. Display Gross Pay END This is the flowchart for a program which calculates an employee’s gross pay.
  • 16. Example 1  Write an algorithm and draw a flowchart to convert the length in feet to centimetres. Pseudocode:  Input the length in feet (Lft)  Calculate the length in cm (Lcm) by multiplying LFT with 30  Print length in cm (LCM)
  • 17. Example Algorithm  Step 1: Input Lft  Step 2: Lcm  Lft x 30  Step 3: Print Lcm START Input Lft Lcm  Lft x 30 STOP Flowchart Print Lcm
  • 18. Example 2 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
  • 19. Example 2 Algorithm  Step 1: Input W,L  Step 2: A  L x W  Step 3: Print A START Input W, L A  L x W STOP Print A
  • 20. DECISION STRUCTURES  One of two possible actions is taken, depending on a condition. Decision Structure A new symbol, the diamond, indicates a yes/no question.
  • 21. Decision Structures  Sometimes only one choice is necessary YES NO
  • 22. Example 1  Pseudocode: Start Get year born Calculate age Print age If age > 50 print OLD End
  • 23.  Flowchart  Start  Get year born  Calculate age  Print age  If age > 50 print OLD  End Get yr Calc age Print age Age>50 OLD Y N Start End
  • 24. Decision Structure  Sometimes two choices are offered. If the answer to the question is yes, the flow follows one path. If the answer is no, the flow follows another path YES NO
  • 25. Decision Structure  In the flowchart segment below, the question “is x < y?” is asked. If the answer is no, then process A is performed. If the answer is yes, then process B is performed. YES NO x < y Process B Process A
  • 26. IF–THEN–ELSE STRUCTURE  The structure is as follows If condition then true alternative else false alternative
  • 27. IF–THEN–ELSE STRUCTURE  The algorithm for the flowchart is as follows: If A>B then print A else print B is A>B Print A Print B N Y
  • 28. Example 1 A ticket seller is issuing show tickets at the gate. When the patrons arrive, he asks how old each one is. It they are under 12, they pay half price. If they are 12 or over, they pay full price. Algorithm Get age Age < 12? If Age < 12 Then Pay half price Else Pay full price
  • 29. Flowchart YES NO Begin Input age Age < 12 Half price Full price End
  • 30. Example 2  Write an algorithm that reads two values, determines the largest value and prints the largest value with an identifying message. ALGORITHM Step 1: Input VALUE1, VALUE2 Step 2: if (VALUE1 > VALUE2) then MAX  VALUE1 else MAX  VALUE2 endif Step 3: Print “The largest value is”, MAX
  • 31. Example 2 MAX  VALUE2 STOP N Y START Input VALUE1,VALUE2 MAX  VALUE1 is VALUE1>VALUE2 Print MAX
  • 32. Example 3  Write the algorithm and draw the flowchart for the following:  Enter two numbers, x and y. If x is less than y, square x to give the result a, otherwise, add x + y to give the result a.
  • 33. YES NO x < y Calculate a as x times 2. Calculate a as x plus y. Algorithm Input x Input y x < y? If x <y Then a = x^ Else a = x+y
  • 34. NESTED IFS  One of the alternatives within an IF– THEN–ELSE statement may involve further IF–THEN–ELSE statement
  • 36. Repetition Structure Repetition (Iteration) Structure  A repetition structure represents part of the program that repeats. This type of structure is commonly known as a loop.
  • 37. Repetition Structure  Notice the use of the diamond symbol. A loop tests a condition, and if the condition exists, it performs an action. Then it tests the condition again. If the condition still exists, the action is repeated. This continues until the condition no longer exists.
  • 38. Repetition Structure  In the flowchart segment, the question “is x < y?” is asked. If the answer is yes, then Process A is performed. The question “is x < y?” is asked again. Process A is repeated as long as x is less than y. When x is no longer less than y, the repetition stops and the structure is exited. x < y Process A YES
  • 39. x < y Add 1 to x YES So this might look like… When would this loop exit?
  • 40. The action performed by a repetition structure must eventually cause the loop to terminate. Otherwise, an infinite loop is created. In this flowchart segment, x is never changed. Once the loop starts, it will never end. QUESTION: How can this flowchart be modified so it is no longer an infinite loop? Out of Control! x < y Display x YES
  • 41. This type of structure is known as a pre-test repetition structure. The condition is tested BEFORE any actions are performed. Pre-test ( Before) Loop x < y? Display x Add 1 to x YES
  • 42. Post-test (After) Loop This flowchart segment shows a post-test repetition structure. The condition is tested AFTER the actions are performed. A post-test repetition structure always performs its actions at least once. Display x Add 1 to x YES x < y
  • 43. Case Structure  One of several possible actions is taken, depending on the contents of a variable.  Used for MORE THAN TWO decisions
  • 44.  The structure below indicates actions to perform depending on the value in years_employed. CASE years_employed 1 2 3 Other bonus = 100 bonus = 200 bonus = 400 bonus = 800
  • 45. CASE years_employed 1 2 3 Other bonus = 100 bonus = 200 bonus = 400 bonus = 800 If years_employed = 1, bonus is set to 100 If years_employed = 2, bonus is set to 200 If years_employed = 3, bonus is set to 400 If years_employed is any other value, bonus is set to 800
  • 46. Case Algorithm Input a Grade Case based on Grade Case =100 Report “Perfect Score” (or suitable command eg Grade = Perfect) Case > 89 Report “Grade = A” Case > 79 Report “Grade = B” Case > 69 Report “Grade = C” Case > 59 Report “Grade = D” Default (or Else) Report “Grade = F” End Case Draw the Flowchart for the above example
  • 47. CASE grade >89 >79 >69 > 59 Grade =A Grade = B Grade = C Grade = D Flowchart Grade = Perfect Grade = F 100 other
  • 48. Construct the algorithm and the flowchart for the following procedure: An egg packing business needs to devise a process to sort eggs for delivery to supermarkets. If the eggs weigh 50 grams, they are Class A eggs. If they weigh 60 grams, they are Class B eggs. If they weigh 70 grams, they are Class C eggs. If they weigh more than 70 grams, they are Class D eggs.
  • 49. Input a Weight Case based on Weight Case =50 Class = A Case =60 Class = B Case = 70 Class = C Case > 70 Class = D OR Default/ Else Class = D End Case Algorithm CASE weight 50 60 70 > 70 Class =A Class = B Class = C Class = D Flowchart
  • 50. Modules (stepwise refinement) A program module is a part of a program that makes sense on its own, just like a paragraph in an essay should make sense on its own. In large programs, such as those used in industry, programs are developed as separate modules and then put together. The process of representing modules in flowcharts is known as stepwise refinement. You will look at this more closely when you start programming.
  • 51. •The position of the module symbol indicates the point the module is executed. •A separate flowchart can be constructed for the module. START END Read Input. Call calc_pay function. Display results. START Display message “How many hours did you work?” Read Hours Display message “How much do you get paid per hour?” Read Pay Rate Multiply Hours by Pay Rate. Store result in Gross Pay. Display Gross Pay END
  • 52. A simpler example… could look like CASE weight 50 60 70 > 70 Class =A Class = B Class = C Class = D Input weight Calculate class Display class
  • 53. A complete program example When you use stepwise refinement, the complete, refined flowchart is drawn first. Then the modules are named and drawn in order. This program lists the AFL team name and points total for all teams that have a full-forward from the AFL competition who has kicked at least 10 goals.
  • 55. MainLoop AFL Goals >= 10 Check goals Check pos Check goals Check conf
  • 56. Finish Although this procedure is listed as a module in the opening flow chart, it’s unsuitable. Why?