Algorithms and flowcharts
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This document discusses algorithms, flowcharts, pseudocode, and decision structures. It begins by defining algorithms and their purpose in problem solving. It then explains flowchart symbols and how to represent algorithms visually using flowcharts. Several examples are provided of writing pseudocode, detailed algorithms, and corresponding flowcharts to solve problems. The document also covers decision structures like if-then-else statements and relational operators. It provides examples of algorithms using nested if statements. Finally, it presents an example of determining an employee bonus based on overtime worked and absences.
![Step 1: Input N1, N2, N3
Step 2: if (N1>N2) then
if (N1>N3) then
MAX N1 [N1>N2, N1>N3]
else
MAX N3 [N3>N1>N2]
endif
else
if (N2>N3) then
MAX N2 [N2>N1, N2>N3]
else
MAX N3 [N3>N2>N1]
endif
endif
Step 3: Print “The largest number is”, MAX](https://image.slidesharecdn.com/algorithmsandflowcharts-161121143206/85/Algorithms-and-flowcharts-32-320.jpg)
Algorithms and flowcharts
- 1. ALGORITHMS & FLOWCHARTS Monday, November 21, 2016
- 2. LEARNING OUTCOMES At the end of the lesson, I should be able to: a. -Define algorithm, Pseudo codes and flowchart b. -State characteristics of Algorithms c. -Outline functions of Algorithm d. -Write algorithm for solving a given problem e. -Flowchart symbols and their uses f. -Translating algorithms to flowchart programs g. -Draw flowcharts for solving given problems
- 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. STEPS IN PROBLEM SOLVING 1. First produce a general algorithm: (one can use pseudo code) 2. Refine the algorithm successively to get step by step detailed algorithm that is very close to a computer language. 3. Pseudo code is an artificial and informal language that helps programmers develop algorithms. Pseudo code is very similar to everyday English.
- 5. PSEUDOCODE & ALGORITHM 1. 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.
- 6. PSEUDOCODE & ALGORITHM Pseudo code: 1. Input a set of 4 marks 2. Calculate their average by summing and dividing by 4 3. if average is below 50 Print “FAIL” else Print “PASS”
- 7. 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
- 8. THE FLOWCHART A Flowchart is a graphical representation of the sequence of operations in an information system or program. Flowchart Characteristics: 1. shows the sequence of instructions in a single program or subroutine 2. shows logic of an algorithm from start to finish 3. emphasizes individual steps and their interconnections 4. control flow from one action to the next 5. Different symbols are used to draw each type of flowchart 6. The start symbol indicates the beginning of a program 7. The end symbol indicate the end of a program.
- 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 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. FLOWCHART SOLUTION TO EXAMPLE 1 PRINT “PASS” 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 START Input M1,M2,M3,M4 GRADE(M1+M2+M3+M4)/4 IS GRADE<5 0 PRINT “FAIL” STOP YN
- 11. EXAMPLE 2 Write an algorithm and draw a flowchart to convert the length in feet to centimeter. Pseudo code: 1. Input the length in feet (Lft) 2. Calculate the length in cm (Lcm) by multiplying LFT with 30 3. Print length in cm (LCM)
- 12. 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 1. Input the width (W) and Length (L) of a rectangle 2. Calculate the area (A) by multiplying L with W 3. Print A
- 14. 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. EXAMPLE 4 Write an algorithm and draw a flowchart that will calculate the roots of a quadratic equation Hint: d = sqrt ( ), and the roots are: x1 = (–b + d)/2a and x2 = (–b – d)/2a 2 0ax bx c 2 4b ac
- 16. Pseudo code: 1. Input the coefficients (a, b, c) of the quadratic equation 2. Calculate d 3. Calculate x1 4. Calculate x2 5. Print x1 and x2
- 17. Algorithm: Step 1: Input a, b, c Step 2: d sqrt ( ) Step 3: x1 (–b + d) / (2 x a) Step 4: x2 (–b – d) / (2 x a) Step 5: Print x1, x2 4b b a c START Input a, b, c d sqrt(b x b – 4 x a x c) Print x1 ,x2 STOP x1 (–b + d) / (2 x a) X2 (–b – d) / (2 x a)
- 18. ASSIGNMENT Provide the answer to question number 4 on page 109 of your HiiT textbook.
- 19. TERMINOLOGIES An algorithm is a step by step procedure in solving a problem Pseudo code is an artificial and informal language that helps programmers develop algorithms. Pseudo code is very similar to everyday English. Flowchart is a graphical representation of the sequence of operations in an information system or program.
- 20. END OF LESSON NOTE
- 21. ALGORITHMS & FLOWCHARTS II Monday, November 21, 2016
- 23. DECISION STRUCTURES The expression A>B is a logical expression it describes a condition we want to test if A>B is true (if A is greater than B) we take the action on left print the value of A if A>B is false (if A is not greater than B) we take the action on right print the value of B
- 25. IF–THEN–ELSE STRUCTURE The structure is as follows: If condition then true alternative else false alternative endif
- 26. IF–THEN–ELSE STRUCTURE The algorithm for the flowchart is as follows: If A>B then print A else print B endif is A>B Print B Print A Y N
- 27. RELATIONAL OPERATORS Relational Operators Operator Description > Greater than < Less than = Equal to Greater than or equal to Less than or equal to Not equal to
- 28. EXAMPLE 5 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
- 29. MAX VALUE1 Print “The largest value is”, MAX STOP Y N START Input VALUE1,VALUE2 MAX VALUE2 is VALUE1>VALUE2
- 30. NESTED IFS One of the alternatives within an IF–THEN–ELSE statement may involve further IF–THEN–ELSE statement
- 31. EXAMPLE 6 Write an algorithm that reads three numbers and prints the value of the largest number.
- 32. Step 1: Input N1, N2, N3 Step 2: if (N1>N2) then if (N1>N3) then MAX N1 [N1>N2, N1>N3] else MAX N3 [N3>N1>N2] endif else if (N2>N3) then MAX N2 [N2>N1, N2>N3] else MAX N3 [N3>N2>N1] endif endif Step 3: Print “The largest number is”, MAX
- 33. EXAMPLE 7 Write and algorithm and draw a flowchart to a) read an employee name (NAME), overtime hours worked (OVERTIME), hours absent (ABSENT) and b) determine the bonus payment (PAYMENT).
- 34. Step 1: Input NAME,OVERTIME,ABSENT Step 2: if (OVERTIME–(2/3)*ABSENT > 40) then PAYMENT 50 else if (OVERTIME–(2/3)*ABSENT > 30) then PAYMENT 40 else if (OVERTIME–(2/3)*ABSENT > 20) then PAYMENT 30 else if (OVERTIME–(2/3)*ABSENT > 10) then PAYMENT 20 else PAYMENT 10 endif Step 3: Print “Bonus for”, NAME “is $”, PAYMENT
- 35. Bonus Schedule OVERTIME – (2/3)*ABSENT Bonus Paid >40 hours >30 but 40 hours >20 but 30 hours >10 but 20 hours 10 hours $50 $40 $30 $20 $10
- 36. THANK YOU.