Algorithms and Flowcharts
Chapter Summary
An algorithm is a step-by-step procedure or set of rules designed to solve a specific problem or perform a computation. In computer science, it serves as the blueprint for writing a program. For board exams, you must remember that a good algorithm must be precise, finite, and unambiguous. It typically starts with a Start step, takes specific inputs, executes logical or mathematical operations step-by-step, and terminates with an Stop or Output step. Writing algorithms for basic mathematical problems (like finding the sum of three numbers, calculating the area of a circle, or finding the factorial of a number) is a frequent long-question requirement in paper patterns.
A flowchart is the graphical or pictorial representation of an algorithm. It uses standardized geometric symbols connected by flowlines to show the direction of execution. Memorizing the standard flowchart symbols and their specific functions is crucial for multiple-choice questions (MCQs) and short questions. The most commonly tested symbols include the Terminal (oval for start/stop), Input/Output (parallelogram), Processing (rectangle for calculations), Decision (diamond for conditions and branching), and Flowlines (arrows showing the sequence).
Problem-solving in this chapter also relies heavily on control structures, which dictate the flow of execution in both algorithms and flowcharts. These include sequence (statements executed one after another), selection (making decisions using IF-THEN-ELSE logic represented by diamond boxes), and iteration/looping (repeating a set of steps until a condition is met). Board exams frequently test your ability to convert a simple word problem into both an algorithm and its corresponding flowchart, or to trace a flowchart to find its output. Pay special attention to drawing neat, well-connected flowcharts with clear arrowheads, as examiners deduct marks for ambiguous flow directions.
Important Questions
- Define an algorithm. What role does it play in problem-solving?3 marks
- What is a flowchart? List any four advantages of using a flowchart.5 marks
- Differentiate between an algorithm and a flowchart.4 marks
- Explain standard flowchart symbols with their names and purposes (e.g., input/output, process, decision, flowlines).5 marks
- Write an algorithm to find the area of a circle given its radius.3 marks
- Draw a flowchart to input two numbers and display the larger one.5 marks
- Write an algorithm and draw a flowchart to check whether a given number is even or odd.8 marks
- What are the criteria for a good algorithm?3 marks