Hex to Decimal Converter - Base Converter

This hex to decimal converter is a professional online base conversion tool that supports bidirectional conversion between hexadecimal and decimal, with simple operation and accurate conversion. It is a practical tool for learning computer basics, programming development, network engineering, and other fields.

Features: Supports hex to decimal and decimal to hex bidirectional conversion; supports batch conversion to process multiple numbers at once; input validation ensures correct format; one-click copy of conversion results for easy use; completely free with no ads or limitations.

Highlights: Simple interface, easy operation, one-click base conversion; local processing with fast conversion speed; supports large number conversion with no length limit; responsive design supporting phones, tablets, computers and other devices.

Hexadecimal is a counting system with base 16, using 16 characters 0-9 and A-F (or a-f), where A-F represents 10-15. Hexadecimal is widely used in computers because it can represent binary data more concisely, with every 4 bits of binary corresponding to 1 hexadecimal digit.

Decimal is a counting system with base 10, using ten digits 0-9, which is the most commonly used number system in daily life.

Importance of base conversion: In computer programming, network engineering, digital circuit design, and other fields, base conversion is a fundamental skill. Understanding the conversion methods between hexadecimal and decimal helps in understanding how computers work and data representation.

1. Weight addition method: Multiply each digit of the hexadecimal number by the corresponding power of 16, then sum the results. For example, hexadecimal number 1A converts to decimal: 1×16¹ + 10×16⁰ = 16 + 10 = 26.

2. Using calculator: Use a scientific calculator or online tools (like this tool) for conversion.

The calculation formula for hex to decimal conversion: For hexadecimal number hₙhₙ₋₁...h₁h₀, the corresponding decimal value is hₙ×16ⁿ + hₙ₋₁×16ⁿ⁻¹ + ... + h₁×16¹ + h₀×16⁰.

Where hᵢ represents the i-th digit of the hexadecimal number (counting from right, starting from 0), and 16ⁱ represents the i-th power of 16. For letters A-F, they correspond to 10-15 respectively.

The calculation method for decimal to hex conversion is the division by 16 method: Continuously divide the decimal number by 16 and record the remainder, then arrange the remainders from bottom to top. Remainders 0-15 correspond to hexadecimal digits 0-F respectively.

For example, decimal number 26 converts to hexadecimal: 26÷16=1 remainder 10 (A), 1÷16=0 remainder 1, so the result is 1A.

1. Select conversion direction: Hex → Decimal or Decimal → Hex.

2. Select input count: Single number or Multiple numbers (one per line).

3. Enter the number to convert: Hex numbers contain 0-9 and A-F (case insensitive), decimal numbers contain only digits.

4. Click the Convert button to view the conversion result.

5. Click the Copy button to copy the conversion result.

6. Click the Clear button to clear input and output content.