Hex Calculator

To use Hexadecimal Calculator, enter the values in the input boxes below and click on the Calculate button.

About Hex Calculator

A hex number, or hexadecimal number, is a numerical representation in the hexadecimal positional numeral system. The hexadecimal system uses a base of 16 and includes sixteen symbols: the numbers 0 to 9 and the letters A, B, C, D, E, and F (or their lowercase counterparts), representing values from 0 to 15.

Key Characteristics of Hex Numbers:

1. Base 16 System:

   • Hex numbers are based on the hexadecimal system, which is different from the familiar decimal (base 10) system.

2. Symbols:

   • The symbols used in hex numbers are 0-9 and A-F (or a-f), where A stands for 10, B for 11, C for 12, D for 13, E for 14, and F for 15.

3. Positional Notation:

   • Similar to decimal notation, each position in a hex number represents a power of 16.

4. Example:

   • For instance, the hex number A is equivalent to 10 in decimal, and the hex number 1F is equivalent to 31 in decimal.

5. Binary Relationship:

   • Hexadecimal is commonly used in computing because it provides a convenient representation of binary-coded values. Each hex digit corresponds to a four-bit binary sequence.

6. URL Encoding:

   • Hex numbers are often used in URL encoding, where special characters are represented using percent-encoding with hex numerals.

Conversion Examples:

• Decimal to Hex: 20 in decimal is 14 in hex (2 * 16^1 + 0 * 16^0 = 14).
• Hex to Decimal: 1F in hex is 31 in decimal (1 * 16^1 + 15 * 16^0 = 31).

Arithmetic Operations:

• Hex numbers can undergo arithmetic operations like addition, subtraction, multiplication, and division, just like decimal numbers.

Application in Computing:

• Hexadecimal is widely used in computing for memory addresses, binary-coded values, and other low-level programming representations.

URL Encoding Example:

• URL: https://example.com/path/file?name=John%20Doe
• Here, %20 represents a space in hexadecimal encoding.

In conclusion, hex numbers play a crucial role in computing, providing a compact representation of binary-coded information. They are used in various contexts, including memory addressing, URL encoding, and low-level programming. Understanding hex numbers is essential for professionals working in computer science, programming, and related fields.