Hex to Binary Conversion

About This Converter

Hexadecimal (hex) to binary conversion involves transforming a number expressed in the hexadecimal base-16 system into its equivalent representation in the binary base-2 system. Here's a step-by-step explanation of how this conversion works:

  1. Understand Hexadecimal Digits:
    • Hexadecimal uses the digits 0-9 and the letters A-F to represent values from 0 to 15. Each hexadecimal digit corresponds to a 4-bit binary sequence.
    • 0 1 2 3 4 5 6 7 8 9 A B C D E F 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111
  2. Convert Each Hex Digit to Binary:
    • Convert each hexadecimal digit to its 4-bit binary representation. If a hexadecimal digit is less than 4 bits, pad it with leading zeros.
    • For example:
    • 0 -> 0000 1 -> 0001 2 -> 0010 3 -> 0011 4 -> 0100 5 -> 0101 6 -> 0110 7 -> 0111 8 -> 1000 9 -> 1001 A -> 1010 B -> 1011 C -> 1100 D -> 1101 E -> 1110 F -> 1111
  3. Combine Binary Digits:
    • Concatenate the binary representations of each hexadecimal digit to get the binary equivalent of the entire hexadecimal number.
  4. Remove Leading Zeros (Optional):
    • Sometimes, the binary representation might have leading zeros. You can remove them if necessary.
  5. Example: Let's convert the hex number 1A3 to binary.
  6. Convert each hex digit to binary:
    • 1 -> 0001 A -> 1010 3 -> 0011
  7. Combine the binary representations:
    • 0001 1010 0011
    • So, the binary equivalent of the hex number 1A3 is 000110100011.

How To Use This Converter?

  1. Enter Hexadecimal Number:
    • In the input field labeled "Enter Hexadecimal Number," type the Hexadecimal number you want to convert to Binary.
    • For example, you can enter "1A3" as a sample Hexadecimal input.
  2. Click the "Convert" Button:
    • Click the "Convert" button. The conversion function will process the Hexadecimal input and convert it to Binary.
  3. View the Result:
    • The Binary equivalent of the entered Hexadecimal number will be displayed below the "Convert" button.
    • The result will be in the format "Binary: [Binary Equivalent]."
    • For example, if you entered "1A3," the result might be "Binary: 000110100011."
  4. Repeat as Needed:
    • You can repeat the process by entering different Hexadecimal numbers and clicking the "Convert" button.


  • The converter checks for the validity of the entered Hexadecimal input. If an invalid Hexadecimal number is entered, an alert will notify you, and the conversion won't proceed.
  • The converter is designed to handle Hexadecimal numbers with a maximum length of four digits. If you need to convert longer Hexadecimal numbers, you may need to modify the code accordingly.

Examples To Try

  1. Hex: 1
  2. Hex: A
  3. Hex: F
  4. Hex: 10
  5. Hex: 2F
  6. Hex: 7A
  7. Hex: B3
  8. Hex: E8
  9. Hex: 1FF
  10. Hex: 4D2
  11. Hex: ABC
  12. Hex: FFFF
  13. Hex: 1234
  14. Hex: 8C0
  15. Hex: 1A3
  16. Hex: DDE
  17. Hex: 5A5
  18. Hex: 777
  19. Hex: CAFE
  20. Hex: DEAD

Enter each of these Hexadecimal numbers into the converter and click the "Convert" button to see the corresponding Binary representation. This will allow you to test the functionality of the Hex to Binary converter with a variety of Hexadecimal inputs.

How This Converter Function ?

  1. HTML Structure:
    • The HTML file defines the structure of the webpage, including an input field for entering the Hexadecimal number, a "Convert" button, and a div to display the Binary result.
  2. CSS Styling:
    • The CSS code provides basic styling to the webpage, making it responsive and visually appealing.
  3. JavaScript Function:
    • The core functionality is implemented using JavaScript.
    • The convertHexToBinary function is triggered when the "Convert" button is clicked.
  4. Hex Input Validation:
    • The function first retrieves the Hexadecimal input from the input field (hexInput).
    • It checks if the input is a valid Hexadecimal number using a regular expression (/^[0-9A-Fa-f]+$/).
    • If the input is not valid, an alert is displayed, and the conversion process is halted.
  5. Hex to Binary Conversion:
    • If the Hex input is valid, the function proceeds to convert each digit of the Hex number to its 4-bit binary representation.
    • It uses a for loop to iterate through each character of the Hex input and converts it using parseInt and toString functions.
    • The resulting binary digits are concatenated to form the complete Binary representation.
  6. Display Result:
    • The Binary result is then displayed in the div with the id "result."
    • The result is formatted as "Binary: [Binary Equivalent]."
  7. User Interaction:
    • The webpage is designed to be user-friendly, allowing users to enter Hexadecimal numbers, click the "Convert" button, and view the Binary results.
  8. Styling:
    • The styling provided by CSS ensures that the webpage looks visually appealing and is responsive.

Where This Converter Can Be Used ?

  1. Educational Purposes:
    • It can be used as an educational tool to help students understand the conversion process between different number systems (Hexadecimal to Binary).
  2. Programming and Computer Science Learning:
    • Students or beginners learning programming or computer science can use it to practice converting Hexadecimal values, which is a common task in low-level programming.
  3. Web Development Projects:
    • The converter can be integrated into web development projects where users need to convert Hexadecimal values to Binary. This could be part of a larger tool or application.
  4. Debugging and Testing:
    • Programmers and developers can use this converter for debugging and testing purposes when dealing with Hexadecimal representations in their code.
  5. Online Tools and Calculators:
    • It can be embedded in online tools or calculators that involve binary or hexadecimal operations. For example, a larger calculator for bitwise operations.
  6. Training Environments:
    • In training environments, such as coding bootcamps or workshops, the converter can be used to reinforce the understanding of number system conversions.
  7. Embedded Systems Development:
    • Engineers working on embedded systems may find this tool useful for converting memory addresses or configurations represented in Hexadecimal to Binary.
  8. Quick Reference for Hex to Binary Conversion:
    • Anyone needing a quick and accessible tool for converting Hexadecimal values to Binary can use this converter without the need for specialized software.
<!DOCTYPE html>
<html lang="en">
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <link rel="stylesheet" href="styles.css">
    <script src="script.js" defer></script>
    <div id="converter">
        <label for="hexInput">Enter Hexadecimal Number:</label>
        <input type="text" id="hexInput" placeholder="e.g., 1A3" maxlength="4" oninput="this.value = this.value.toUpperCase()">
        <button onclick="convertHexToBinary()">Convert</button>
        <div id="result"></div>
    • Terminology: Document Type Declaration (DOCTYPE)
    • Function: Informs the browser about the HTML version being used (HTML5 in this case).
    • Meaning: Ensures that the browser renders the page in standards-compliant mode.
  2. html:
    • Terminology: HTML Root Element
    • Function: Represents the root of the HTML document.
    • Meaning: Encloses all the content on the page.
  3. head:
    • Terminology: Head Element
    • Function: Contains meta-information about the HTML document.
    • Meaning: Includes metadata, links to external resources, and scripts.
  4. meta:
    • Terminology: Meta Tag
    • Function: Provides metadata about the HTML document (e.g., character set, viewport settings).
    • Meaning: Influences how the document is processed.
  5. link:
    • Terminology: Link Element
    • Function: Links external resources, such as stylesheets.
    • Meaning: Connects the HTML document to external files.
  6. script:
    • Terminology: Script Element
    • Function: Embeds or references scripts, typically JavaScript.
    • Meaning: Adds interactivity and dynamic behavior to the webpage.
  7. body:
    • Terminology: Body Element
    • Function: Contains the content of the HTML document.
    • Meaning: Houses the visible content of the webpage.
  8. div:
    • Terminology: Division Element
    • Function: Defines a division or a section in an HTML document.
    • Meaning: Used for structuring and styling purposes.
  9. label:
    • Terminology: Label Element
    • Function: Represents a label for an input element.
    • Meaning: Enhances accessibility and user experience.
  10. input:
    • Terminology: Input Element
    • Function: Represents an interactive control to accept user input.
    • Meaning: Provides a text input field for the Hexadecimal number.
  11. button:
    • Terminology: Button Element
    • Function: Represents a clickable button.
    • Meaning: Initiates the Hex to Binary conversion when clicked.
  12. oninput:
    • Terminology: oninput Attribute
    • Function: Defines a script to run when the user inputs data into the input field.
    • Meaning: Ensures that the input is automatically converted to uppercase.
body {
    font-family: 'Arial', sans-serif;
    display: flex;
    align-items: center;
    justify-content: center;
    height: 100vh;
    margin: 0;
    background-color: #f2f2f2;

#converter {
    max-width: 400px;
    padding: 20px;
    background-color: #fff;
    border-radius: 8px;
    box-shadow: 0 0 10px rgba(0, 0, 0, 0.1);

label {
    display: block;
    margin-bottom: 10px;

input {
    width: 100%;
    padding: 8px;
    margin-bottom: 10px;
    box-sizing: border-box;

button {
    background-color: #4caf50;
    color: #fff;
    padding: 10px;
    border: none;
    border-radius: 4px;
    cursor: pointer;
    width: 100%;

button:hover {
    background-color: #45a049;

#result {
    margin-top: 10px;
  1. body:
    • Terminology: Body Selector
    • Function: Selects the entire HTML body for styling.
    • Meaning: Applies a consistent style to the entire webpage.
  2. #converter:
    • Terminology: ID Selector
    • Function: Selects an element with a specific ID (#converter in this case).
    • Meaning: Styles the container for the converter.
  3. label:
    • Terminology: Label Selector
    • Function: Selects label elements.
    • Meaning: Styles the labels for input fields.
  4. input:
    • Terminology: Input Selector
    • Function: Selects input elements.
    • Meaning: Styles the text input field.
  5. button:
    • Terminology: Button Selector
    • Function: Selects button elements.
    • Meaning: Styles the conversion button.
  6. button:hover:
    • Terminology: :hover Pseudo-class
    • Function: Styles an element when the user hovers over it.
    • Meaning: Provides a visual indication when the mouse is over the conversion button.
  7. #result:
    • Terminology: ID Selector
    • Function: Selects an element with a specific ID (#result in this case).
    • Meaning: Styles the result container.
function convertHexToBinary() {
    var hexInput = document.getElementById('hexInput').value;
    var binaryOutput = document.getElementById('result');

    // Validate Hex input
    if (!/^[0-9A-Fa-f]+$/.test(hexInput)) {
        alert('Invalid Hex input. Please enter a valid Hexadecimal number.');

    // Convert Hex to Binary
    var binaryResult = '';
    for (var i = 0; i < hexInput.length; i++) {
        var binaryDigit = parseInt(hexInput[i], 16).toString(2).padStart(4, '0');
        binaryResult += binaryDigit;

    // Display the result
    binaryOutput.textContent = 'Binary: ' + binaryResult;
  1. function:
    • Terminology: Function
    • Function: A reusable block of code designed to perform a particular task.
    • Meaning: convertHexToBinary is the main function that handles the Hex to Binary conversion and result display.
  2. document.getElementById:
    • Terminology: getElementById Method
    • Function: Retrieves an HTML element by its ID.
    • Meaning: Obtains references to the input field and result div for further manipulation.
  3. parseInt:
    • Terminology: parseInt Function
    • Function: Parses a string and returns an integer.
    • Meaning: Converts each Hexadecimal digit to its decimal equivalent.
  4. toString:
    • Terminology: toString Method
    • Function: Converts a number to a string.
    • Meaning: Converts the decimal representation to binary.
  5. padStart:
    • Terminology: padStart Method
    • Function: Pads the start of a string with a specified number of characters.
    • Meaning: Ensures that each binary digit is at least 4 characters long.
  6. textContent:
    • Terminology: textContent Property
    • Function: Gets or sets the text content of an element.
    • Meaning: Displays the final Binary result in the result div.
  7. alert:
    • Terminology: alert Function
    • Function: Displays a dialog box with a specified message.
    • Meaning: Alerts the user if an invalid Hexadecimal input is detected.
  8. toUpperCase:
    • Terminology: toUpperCase Method
    • Function: Converts a string to uppercase.
    • Meaning: Ensures that the entered Hexadecimal input is in uppercase for consistency.

How To Implement

Implementing this Confidence Interval Calculator on WordPress involves a few steps. Here's a step-by-step guide:

1. Access WordPress Admin Dashboard

Log in to your WordPress admin dashboard.

2. Create a New Page

Navigate to Pages > Add New in the WordPress admin.

Give your page a title, such as "Confidence Interval Calculator."

3. Switch to HTML Editor

On the page editor, switch to the HTML editor. Look for a tab that says "HTML" or "Code."

4. Copy HTML Code

Copy the entire HTML code (from <!DOCTYPE html> to the closing </html>) from your index.html file.

5. Paste HTML Code

Paste the copied HTML code into the HTML editor of your WordPress page.

6. Add CSS

Copy the entire CSS code (from the <style> tag in the styles.css file) and paste it into the WordPress page's HTML editor, preferably within the <head> section.

7. Add JavaScript

Copy the entire JavaScript code (from the <script> tag in the script.js file) and paste it into the WordPress page's HTML editor, preferably just before the closing </body> tag.

8. Save and Publish

Save the changes to your WordPress page.

Click the "Publish" button to make the page live.

9. View Your Page

Visit the page on your WordPress site to see the Confidence Interval Calculator in action.

Additional Considerations:

  • WordPress Theme Compatibility: Ensure that your WordPress theme supports the custom styles and scripts you've added. If needed, you may have to adjust styles to fit seamlessly with your theme.
  • Plugin Usage: If you find that directly pasting HTML, CSS, and JavaScript into the page editor is causing issues, consider using a plugin like "Insert Headers and Footers" to add your custom code.
  • Responsive Design: Check if the calculator layout is responsive. If not, you might need to make adjustments to the CSS for better responsiveness.
  • Debugging: If something doesn't work as expected, use the browser's developer tools (usually accessible by right-clicking on the page and selecting "Inspect" or "Inspect Element") to check for errors in the console tab.

By following these steps, you should be able to implement the Confidence Interval Calculator on your WordPress site. Remember to test the calculator thoroughly to ensure it functions correctly within the WordPress environment.


  1. Q: What is Hexadecimal (Hex) and Binary?
    • A: Hexadecimal is a base-16 number system using digits 0-9 and A-F. Binary is a base-2 system using only 0 and 1.
  2. Q: Why is Hexadecimal Used in Computing?
    • A: Hexadecimal is used in computing because it provides a more compact representation than binary, making it easier for humans to read and work with.
  3. Q: How Many Bits are in a Hexadecimal Digit?
    • A: One Hexadecimal digit represents 4 bits. Each digit corresponds to a unique 4-bit binary pattern.
  4. Q: What is the Relationship Between Hex and Binary?
    • A: Hexadecimal and Binary are related as each Hex digit corresponds to a 4-bit Binary pattern.
  5. Q: How Do You Convert Hex to Binary Manually?
    • A: Convert each Hex digit to its 4-bit Binary equivalent. Combine the Binary digits to get the full Binary representation.
  6. Q: Is Hex to Binary Conversion Common in Programming?
    • A: Yes, Hex to Binary conversion is common in programming, especially when dealing with low-level operations, memory addresses, and bitwise operations.
  7. Q: Can You Convert Hexadecimal Letters to Binary?
    • A: Yes, Hexadecimal letters A-F are converted to Binary just like numerical values, each representing a 4-bit pattern.
  8. Q: What is the Maximum Value Represented by One Hexadecimal Digit?
    • A: One Hexadecimal digit can represent values from 0 to 15 in decimal.
  9. Q: Are There Online Tools for Hex to Binary Conversion?
    • A: Yes, there are numerous online tools and calculators that can perform Hex to Binary conversion.
  10. Q: Why Would You Need to Convert Hex to Binary in Networking?
    • A: In networking, Hex to Binary conversion is often used when configuring IP addresses or subnet masks.
  11. Q: Can You Convert a Hexadecimal Fraction to Binary?
    • A: Yes, you can convert the integer part and fractional part separately, just like with whole numbers.
  12. Q: How is Error Handling Done in Hex to Binary Conversion?
    • A: Error handling involves checking if the entered Hex input is valid before attempting the conversion. Invalid inputs prompt alerts.
  13. Q: Why is Padding Used in Hex to Binary Conversion?
    • A: Padding ensures that each Hex digit is represented by a full 4-bit Binary pattern, maintaining consistency in the Binary output.
  14. Q: What is the Purpose of the "padStart" Method in JavaScript?
    • A: The "padStart" method is used to add leading zeros to a string, ensuring a minimum length.
  15. Q: How Does Hex to Binary Conversion Relate to Memory Addressing?
    • A: Memory addresses are often represented in Hexadecimal, and Hex to Binary conversion helps understand their binary representation for memory operations.
  16. Q: Can Hex to Binary Conversion be Done in Excel?
    • A: Yes, Excel provides functions like DEC2BIN for converting decimal to binary, and you can use HEX2DEC to convert Hexadecimal to Decimal before converting to Binary.
  17. Q: Is There a Limit to the Length of Hexadecimal Input in the Converter Tool?
    • A: Yes, the example tool has a maximum length of 4 characters for the Hexadecimal input. In practical applications, you might need to adjust this based on requirements.
  18. Q: How Would You Convert a Large Hexadecimal Number to Binary?
    • A: Divide the Hex number into smaller segments and convert each segment to Binary, then combine the results.
  19. Q: What's the Significance of Hex to Binary Conversion in Embedded Systems?
    • A: In embedded systems, configuration settings and memory addresses are often represented in Hexadecimal, requiring Hex to Binary conversion for bitwise operations.
  20. Q: Can You Convert Negative Hexadecimal Numbers to Binary?
    • A: Yes, negative Hexadecimal numbers are represented in Two's complement form, and you can convert them to Binary following the same principles.