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Implementing Logic Functions with Decoders and MUXs

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Implementing Boolean Functions with Truth Tables

Problem 1: Implement the following function F(A, B, C) = Σ(2, 5, 6, 7) using a truth table with:

  • a. Decoder
  • b. Multiplexer

Truth Table for Function F(A, B, C)

ABCF
0000
0010
0101
0110
1000
1011
1101
1111

a. Decoder Implementation

A decoder is used to select one of the outputs based on the input combination. In this case, we have 3 inputs (A, B, C) and 8 possible combinations. The truth table shows that F = 1 for input combinations (010), (101), (110), and (111), and F = 0 for all other combinations. To implement this, we connect the corresponding decoder outputs to an OR gate.

b. Multiplexer Implementation

A multiplexer (MUX) selects one of the input lines and passes it to the output. The selection is controlled... Continue reading "Implementing Logic Functions with Decoders and MUXs" »

Java AWT: Button Events and Arrow Key Shape Movement

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Button Click Action Events

import java.awt.*;

import java.awt.event.*;

public class ButtonClickActionEvents

{

public static void main(String args[])

{

Frame f=new Frame("Button Event");

Label l=new Label("DETAILS OF PARENTS");

l.setFont(new Font("Calibri",Font.BOLD, 16));

Label nl=new Label();

Label dl=new Label();

Label al=new Label();

l.setBounds(20,20,500,50);

nl.setBounds(20,110,500,30);

dl.setBounds(20,150,500,30);

al.setBounds(20,190,500,30);

Button mb=new Button("Mother");

mb.setBounds(20,70,50,30);

mb.addActionListener(new ActionListener()

{

public void actionPerformed(ActionEvent e)

{

nl.setText("NAME: " + "Aishwarya");

dl.setText("DESIGNATION: " + "Professor");

al.setText("AGE: " + "42");

}

});

Button fb=new Button("Father");

fb.setBounds(80,70,50,30);

fb.addActionListener(

... Continue reading "Java AWT: Button Events and Arrow Key Shape Movement" »

Linux Shell Programming with Bash and the vi Editor

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🐚 Introduction to Shell Programming in Linux

Shell programming is the process of writing shell scripts—sequences of commands executed by the command-line interpreter (the shell, typically Bash) to automate tasks. It leverages command-line utilities, variables, and control flow structures to create powerful programs.

✍️ The vi Editor

The vi (or vim) editor is a text-based, modal editor crucial for writing shell scripts and editing configuration files in Linux. It operates in distinct modes:

ModeFunctionKey Commands
Command ModeThe default mode used for navigation, deletion, copying, and pasting.h, j, k, l for cursor movement; dd to delete a line.
Insert ModeUsed for typing and editing text.i (insert before cursor), a (append after cursor)
... Continue reading "Linux Shell Programming with Bash and the vi Editor" »

Mastering Relational Algebra for Database Queries

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Relational Algebra Fundamentals

  • Relational Algebra is a mathematical query language used in databases.
  • The result of any operation is always another relation (table).

Relational Algebra Operations Explained

Unary Relational Operations

SELECT (σ) – Filters Rows

  • Retrieves specific rows from a table based on a condition.
  • Syntax: σ (condition) (Relation)
  • Example: σ (Dept_ID = 4) (EMPLOYEE)

PROJECT (π) – Filters Columns

  • Retrieves specific columns from a table.
  • Syntax: π (column1, column2) (Relation)
  • Example: π (Name, Salary) (EMPLOYEE)

RENAME (ρ) – Changes Table or Column Name

  • Syntax: ρ (NewTable (NewColumn1, NewColumn2), OldTable)
  • Example: ρ (Staff (Emp_ID, FullName), EMPLOYEE)

Set Theory Operations

UNION (∪) – Combines Two Tables

  • Combines tuples
... Continue reading "Mastering Relational Algebra for Database Queries" »

C Programming: Tokens, Operators, and Logic

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Tokens

In programming, a token is the smallest meaningful element in code. They are the building blocks of a language's syntax. Common token types include:

  • Keywords: Reserved words like if, else, while, and int (for declaring integers).
  • Identifiers: Names given to elements like variables (e.g., sum), functions, and arrays.
  • Constants: Unchanging values during program execution (e.g., 3.14 for pi).
  • Operators: Symbols for mathematical or logical operations (e.g., + for addition).
  • Separators: Punctuation like commas (,), semicolons (;), and braces ({}).

Example: int sum = 10 + 5;

In this line, int is a keyword, sum is an identifier, = is an operator, 10 and 5 are constants, and ; is a separator.

Arithmetic Operators

C has nine arithmetic operators for basic... Continue reading "C Programming: Tokens, Operators, and Logic" »

Python Fundamentals: Variables, Data Types, and Control Flow

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Keywords and identifiers are fundamental elements in programming languages used to define variables, functions, and other constructs, with keywords being reserved words that have special meanings, and identifiers being names given to user-defined entities.

Comments in programming serve the essential purpose of making the source code more understandable and maintainable by providing textual annotations that explain the logic, purpose, or any additional information about the code. They help programmers and collaborators to read, debug, and update the code efficiently without affecting its execution.

There are two main types of comments:
- Single-line comments start with specific symbols like // in languages such as C, Java, and JavaScript, and they... Continue reading "Python Fundamentals: Variables, Data Types, and Control Flow" »

C Programming: Numerical Algorithms and Control Flow

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Unit 3: Core C Programming Concepts

Extracting Digits of a Number

Extracting digits of a number is a fundamental programming task used in various computational problems, such as reversing a number, checking for palindromes, or performing digit-based calculations. There are two main approaches: right-to-left extraction and left-to-right extraction.

Right-to-Left Extraction

In right-to-left extraction, the modulus operator (%) is used to obtain the last digit of the number, while integer division (/) removes the last digit after processing. For example, for the number 1234:

  • 1234 % 10 gives 4.
  • 1234 / 10 gives 123.

This process is repeated until the number becomes zero, allowing each digit to be handled individually.

Left-to-Right Extraction

Left-to-right... Continue reading "C Programming: Numerical Algorithms and Control Flow" »

Understanding Email Systems and Cybersecurity Threats

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Electronic Mail (Email) Fundamentals

Email is a method of exchanging digital messages from an author to one or more recipients. 📧

Introduction to Email

Email works similarly to physical mail, but electronically. It uses the internet to deliver messages almost instantaneously to an address on a global network. Key protocols like Simple Mail Transfer Protocol (SMTP) handle sending mail, while Post Office Protocol (POP3) or Internet Message Access Protocol (IMAP) handle receiving it.

Advantages of Email

  • Speed: Messages are delivered almost instantly, even across vast distances.
  • Cost-Effective: It's virtually free compared to traditional postal services or long-distance calls.
  • Accessibility: You can send and receive emails from almost any internet-
... Continue reading "Understanding Email Systems and Cybersecurity Threats" »

Core Concepts in AI, Machine Learning, and Industrial Automation Systems

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Linear Regression Fundamentals

In regression, a set of records containing X and Y values is used to learn a function. This learned function can then be used to predict Y from an unknown X. In regression, we aim to find the value of Y, so a function is required which predicts Y given X. Y is continuous in the case of regression.

Here, Y is called the criterion variable and X is called the predictor variable. There are many types of functions or models which can be used for regression. The linear function is the simplest type of function. Here, X may be a single feature or multiple features representing the problem.

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Applications of Linear Regression in AI

  • Predictive Analysis: Forecasting sales, stock prices, or house prices based on historical data.
... Continue reading "Core Concepts in AI, Machine Learning, and Industrial Automation Systems" »

Dijkstra's Algorithm in C: Code & Explanation

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Dijkstra's Algorithm in C

This code implements Dijkstra's algorithm to find the shortest path from a source vertex to all other vertices in a graph represented as an adjacency matrix. The program reads graph data from an input.txt file and writes the results to an output.txt file.

Code Implementation


#include <stdio.h>
#include <limits.h>
#include <stdbool.h>

#define MAX_VERTICES 100

// Function to find the vertex with minimum distance
int minDistance(int dist[], bool visited[], int vertices) {
    int min = INT_MAX, min_index;

    for (int v = 0; v < vertices; v++)
        if (!visited[v] && dist[v] <= min) {
            min = dist[v];
            min_index = v;
        }

    return min_index;
}

// Dijkstra'
... Continue reading "Dijkstra's Algorithm in C: Code & Explanation" »