interactive-html/computerScience/computerScience-logic-gates.html at main · isocialPractice/interactive-html · GitHub

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<html lang="en">
<!-- InstanceBegin template="/Templates/page.html" codeOutsideHTMLIsLocked="true" -->
<head>
<link rel="stylesheet" href="https://isocialpractice.github.io/interactive-html/css/style.css">
<link rel="icon" type="image/svg+xml" href="https://isocialpractice.github.io/interactive-html/img/favicon.svg">
<!-- InstanceBeginEditable name="head" -->
 <title>Logic Gate Truth Table Generator</title>
 <style>
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   font-weight: 600;
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   padding: 20px;
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<!-- InstanceEndEditable -->
</head>

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 </nav>

<!-- InstanceBeginEditable name="page" -->
 <div class="container">
  <div class="header">
   <h1>⚡ Logic Gate Truth Table Generator</h1>
   <div class="subtitle">Explore Digital Logic Gates and Boolean Algebra</div>
  </div>

  <div class="content-wrapper">
   <div class="left-panel">
    <h2>Select Logic Gate</h2>

    <div class="gate-selector">
     <button class="gate-btn active" onclick="logicSim.selectGate('AND')">AND</button>
     <button class="gate-btn" onclick="logicSim.selectGate('OR')">OR</button>
     <button class="gate-btn" onclick="logicSim.selectGate('NOT')">NOT</button>
     <button class="gate-btn" onclick="logicSim.selectGate('NAND')">NAND</button>
     <button class="gate-btn" onclick="logicSim.selectGate('NOR')">NOR</button>
     <button class="gate-btn" onclick="logicSim.selectGate('XOR')">XOR</button>
     <button class="gate-btn" onclick="logicSim.selectGate('XNOR')">XNOR</button>
    </div>

    <div class="inputs-section">
     <label for="inputCount">Number of Inputs (for multi-input gates):</label>
     <select id="inputCount" onchange="logicSim.updateInputCount()">
      <option value="2" selected>2 inputs</option>
      <option value="3">3 inputs</option>
      <option value="4">4 inputs</option>
     </select>
    </div>

    <div class="gate-visual" id="gateVisual">
     <div class="gate-name">AND Gate</div>
     <div class="gate-description">Output is TRUE only when all inputs are TRUE</div>
     <div class="formula">Y = A · B</div>
    </div>

    <h2>Truth Table</h2>
    <div id="truthTableContainer"></div>
   </div>

   <div class="right-panel">
    <h2>Gate Information</h2>

    <div class="info-section" id="gateInfo">
     <h3>AND Gate</h3>
     <p>The AND gate outputs TRUE (1) only when all inputs are TRUE (1). If any input is FALSE (0), the output is FALSE.</p>
     <p><strong>Real-world analogy:</strong> Two switches in series - both must be closed for the light to turn on.</p>
     <p><strong>Boolean algebra:</strong> Y = A · B (or A AND B)</p>
     <p><strong>Applications:</strong></p>
     <ul>
      <li>Safety systems requiring multiple conditions</li>
      <li>Masking operations in processors</li>
      <li>Address decoders in memory circuits</li>
     </ul>
    </div>

    <div class="info-box">
     <h3>Boolean Algebra Basics</h3>
     <p>Boolean algebra uses binary values (0 and 1) to represent FALSE and TRUE. Logic gates implement Boolean operations in hardware.</p>
    </div>

    <div class="info-section">
     <h3>Gate Symbols</h3>
     <p><strong>AND:</strong> D-shaped gate (multiplication)</p>
     <p><strong>OR:</strong> Shield-shaped gate (addition)</p>
     <p><strong>NOT:</strong> Triangle with circle (inversion)</p>
     <p><strong>NAND:</strong> AND gate with circle at output (universal gate)</p>
     <p><strong>NOR:</strong> OR gate with circle at output (universal gate)</p>
     <p><strong>XOR:</strong> Shield with extra line (exclusive OR)</p>
     <p><strong>XNOR:</strong> XOR with circle at output (equality)</p>
    </div>

    <div class="info-box">
     <h3>Universal Gates</h3>
     <p>NAND and NOR gates are called "universal gates" because any Boolean function can be implemented using only NAND gates or only NOR gates.</p>
    </div>

    <div class="info-section">
     <h3>De Morgan's Laws</h3>
     <p>Important identities in Boolean algebra:</p>
     <div class="formula">NOT(A AND B) = (NOT A) OR (NOT B)</div>
     <div class="formula">NOT(A OR B) = (NOT A) AND (NOT B)</div>
     <p>These laws show the relationship between AND/OR gates and their negated forms (NAND/NOR).</p>
    </div>
   </div>
  </div>
 </div>

 <script>
  class LogicSimulator {
   constructor() {
    this.currentGate = 'AND';
    this.inputCount = 2;
    this.generateTruthTable();
   }

   selectGate(gate) {
    this.currentGate = gate;

    // Update button states
    document.querySelectorAll('.gate-btn').forEach(btn => {
     btn.classList.remove('active');
     if (btn.textContent === gate) {
      btn.classList.add('active');
     }
    });

    // Disable input count for NOT gate
    const inputSelect = document.getElementById('inputCount');
    inputSelect.disabled = (gate === 'NOT');
    if (gate === 'NOT') {
     this.inputCount = 1;
    }

    this.updateGateInfo();
    this.generateTruthTable();
   }

   updateInputCount() {
    if (this.currentGate === 'NOT') return;
    this.inputCount = parseInt(document.getElementById('inputCount').value);
    this.generateTruthTable();
   }

   updateGateInfo() {
    const gateInfos = {
     'AND': {
      name: 'AND Gate',
      description: 'Output is TRUE only when all inputs are TRUE',
      formula: 'Y = A · B',
      text: 'The AND gate outputs TRUE (1) only when all inputs are TRUE (1). If any input is FALSE (0), the output is FALSE.',
      analogy: 'Two switches in series - both must be closed for the light to turn on.',
      algebra: 'Y = A · B (or A AND B)',
      applications: ['Safety systems requiring multiple conditions', 'Masking operations in processors', 'Address decoders in memory circuits']
     },
     'OR': {
      name: 'OR Gate',
      description: 'Output is TRUE when at least one input is TRUE',
      formula: 'Y = A + B',
      text: 'The OR gate outputs TRUE (1) when at least one input is TRUE (1). The output is FALSE only when all inputs are FALSE.',
      analogy: 'Two switches in parallel - either switch can turn on the light.',
      algebra: 'Y = A + B (or A OR B)',
      applications: ['Alert systems with multiple triggers', 'Combining multiple signals', 'Priority encoders']
     },
     'NOT': {
      name: 'NOT Gate (Inverter)',
      description: 'Output is the inverse of the input',
      formula: 'Y = Ā',
      text: 'The NOT gate (inverter) outputs the opposite of its input. If the input is TRUE (1), the output is FALSE (0), and vice versa.',
      analogy: 'A switch that turns off a light when pressed and turns it on when released.',
      algebra: 'Y = Ā (or NOT A)',
      applications: ['Signal inversion', 'Creating complementary signals', 'Building blocks for other gates']
     },
     'NAND': {
      name: 'NAND Gate',
      description: 'Output is FALSE only when all inputs are TRUE',
      formula: 'Y = ‾(A · B)',
      text: 'The NAND gate is the inverse of AND. It outputs FALSE only when all inputs are TRUE. This is a universal gate.',
      analogy: 'A normally-closed relay that opens only when all conditions are met.',
      algebra: 'Y = ‾(A · B) (NOT(A AND B))',
      applications: ['Universal logic - can build any circuit', 'Memory cells (SR latches)', 'Most common gate in integrated circuits']
     },
     'NOR': {
      name: 'NOR Gate',
      description: 'Output is TRUE only when all inputs are FALSE',
      formula: 'Y = ‾(A + B)',
      text: 'The NOR gate is the inverse of OR. It outputs TRUE only when all inputs are FALSE. This is also a universal gate.',
      analogy: 'A light that is on only when no switches are pressed.',
      algebra: 'Y = ‾(A + B) (NOT(A OR B))',
      applications: ['Universal logic - can build any circuit', 'Memory cells', 'Detecting all-zero conditions']
     },
     'XOR': {
      name: 'XOR Gate (Exclusive OR)',
      description: 'Output is TRUE when inputs are different',
      formula: 'Y = A ⊕ B',
      text: 'The XOR gate outputs TRUE when the inputs are different. For two inputs, it\'s TRUE when exactly one input is TRUE.',
      analogy: 'A light controlled by two switches - flipping either switch toggles the light.',
      algebra: 'Y = A ⊕ B (A XOR B)',
      applications: ['Binary addition (sum bit)', 'Parity checking', 'Encryption algorithms', 'Comparators']
     },
     'XNOR': {
      name: 'XNOR Gate (Exclusive NOR)',
      description: 'Output is TRUE when inputs are the same',
      formula: 'Y = ‾(A ⊕ B)',
      text: 'The XNOR gate (equality gate) outputs TRUE when all inputs are the same. It\'s the inverse of XOR.',
      analogy: 'A detector that signals when two conditions match.',
      algebra: 'Y = ‾(A ⊕ B) (NOT(A XOR B))',
      applications: ['Equality comparators', 'Error detection', 'Digital communication']
     }
    };

    const info = gateInfos[this.currentGate];

    document.querySelector('.gate-name').textContent = info.name;
    document.querySelector('.gate-description').textContent = info.description;
    document.querySelector('.formula').textContent = info.formula;

    const gateInfoDiv = document.getElementById('gateInfo');
    let applicationsHTML = '<ul>';
    info.applications.forEach(app => {
     applicationsHTML += `<li>${app}</li>`;
    });
    applicationsHTML += '</ul>';

    gateInfoDiv.innerHTML = `
     <h3>${info.name}</h3>
     <p>${info.text}</p>
     <p><strong>Real-world analogy:</strong> ${info.analogy}</p>
     <p><strong>Boolean algebra:</strong> ${info.algebra}</p>
     <p><strong>Applications:</strong></p>
     ${applicationsHTML}
    `;
   }

   generateTruthTable() {
    const container = document.getElementById('truthTableContainer');
    const rows = Math.pow(2, this.inputCount);

    let html = '<table class="truth-table"><thead><tr>';

    // Header
    const inputs = [];
    for (let i = 0; i < this.inputCount; i++) {
     const inputName = String.fromCharCode(65 + i); // A, B, C, D
     inputs.push(inputName);
     html += `<th>${inputName}</th>`;
    }
    html += '<th class="output-col">Output</th></tr></thead><tbody>';

    // Rows
    for (let i = 0; i < rows; i++) {
     html += '<tr>';

     // Input values
     const inputValues = [];
     for (let j = this.inputCount - 1; j >= 0; j--) {
      const bit = (i >> j) & 1;
      inputValues.push(bit);
      html += `<td>${bit}</td>`;
     }

     // Output value
     const output = this.calculateOutput(inputValues);
     const outputClass = output ? 'output-true' : 'output-false';
     html += `<td class="${outputClass}">${output ? 1 : 0}</td>`;

     html += '</tr>';
    }

    html += '</tbody></table>';
    container.innerHTML = html;
   }

   calculateOutput(inputs) {
    switch(this.currentGate) {
     case 'AND':
      return inputs.every(v => v === 1);
     case 'OR':
      return inputs.some(v => v === 1);
     case 'NOT':
      return inputs[0] === 0;
     case 'NAND':
      return !inputs.every(v => v === 1);
     case 'NOR':
      return !inputs.some(v => v === 1);
     case 'XOR':
      return inputs.filter(v => v === 1).length % 2 === 1;
     case 'XNOR':
      return inputs.filter(v => v === 1).length % 2 === 0;
     default:
      return false;
    }
   }
  }

  // Initialize the simulator
  const logicSim = new LogicSimulator();
 </script>
<!-- InstanceEndEditable -->
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