Algorithm and Flowchat

Understanding Algorithms and Flowcharts

Algorithms and flowcharts are fundamental tools in computer science and programming, providing systematic approaches to problem-solving.

Definition of Algorithm

An algorithm can be defined as a set of precise rules and sequential steps that specify how a particular problem can be solved in a finite and ordered sequence of operations. It is essentially a blueprint for solving a computational problem.

Function of Algorithms

An algorithm typically takes some input, performs a series of effective steps within a finite amount of time, and then produces a specific output. They are the core logic behind all software and automated processes.

Characteristics of Algorithms

Every well-defined algorithm should possess the following five essential characteristics:

• Input: An algorithm must have zero or more well-defined inputs.
• Output: An algorithm must produce one or more well-defined outputs.
• Definiteness: Each step of the algorithm must be precisely and unambiguously defined.
• Effectiveness: Every operation must be sufficiently basic that it can be carried out in a finite amount of time by a person using pencil and paper.
• Termination: An algorithm must terminate after a finite number of steps.

Example 1: Write an algorithm to compute the area and circumference of a circle given the diameter 'd'. Use the formulas $A={\mathrm{\pi r}}^2$ and C = 2πr

Solution:

• Step 1: Start
• Step 2: Get the diameter 'd' as input
• Step 3: Compute the radius$r=\left(\frac{d}{2}\right)$


• Step 4: Compute the area A = πr²
• Step 5: Compute the circumference C = 2πr
• Step 6: Display (output) the calculated values of A and C
• Step 7: Stop

Example 2: Write an algorithm that describes how to wash dishes.

Solution:

• Step 1: Start
• Step 2: Scrape food off dishes.
• Step 3: Wash the dishes with soap and water.
• Step 4: Rinse the dishes thoroughly.
• Step 5: Dry the dishes.
• Step 6: Stop

Example 3: Write an algorithm to evaluate the equation $y=\frac{a{(b-c)}^2}{d+2}$.

Solution:
The rule of BODMAS/PEMDAS should be followed to effectively evaluate the equation.

• Step 1: Start
• Step 2: Input the values of a, b, c, and d.
• Step 3: The value of y is to be calculated
• Step 4: Calculate the value of b-c and denote f
• Step 5: Calculate the square of 'f' (i.e., f^2)
• Step 6: Multiply the square of f by a and denote g
• Step 7: Calculate the value of d+2 and denote h
• Step 8: divide g by h
• Step 9: We get the value of y
• Step 10: Print y
• Step 11: Stop

Definition of Flowchart

A flowchart is the graphical representation of the steps involved in solving a given problem. More formally, a flowchart is a pictorial representation in which standardized symbols are used to show the various operations and decisions to be followed in solving a problem. It provides a visual guide to the sequence of steps and decision points in an algorithm.

Standard Flowchart Symbols

Common Flowchart Symbols and their Meanings.

Rules for Drawing Flowcharts

To ensure clarity and consistency, the following rules should be adhered to when drawing flowcharts:

• Every flowchart must terminate; that is, it must have a clearly defined starting and ending point.
• The direction of flow should typically be from left to right or top to bottom.
• Maintain consistent spacing and alignment between symbols for readability.
• Use the correct standard symbol for each step or operation.
• Keep the flowchart as simple and clear as possible, avoiding unnecessary complexity.

Example 1: Draw a flowchart to print the area of a 10cm square.

Flowchart for calculating the area of a 10cm square.