1. What is Base Conversion?

Base conversion is the process of changing a number from one base (or radix) to another. Number bases represent numbers using different sets of digits, with the most common being base 10 (decimal), base 2 (binary), and base 16 (hexadecimal).

2. How Does the Calculator Work?

The calculator uses the PHP base_convert function:

Where:

• \( \text{num\_base1} \) — The original number as a string
• \( \text{base1} \) — The original base (2-36)
• \( \text{base2} \) — The target base (2-36)

Explanation: The function converts the number between different bases, handling digits 0-9 and letters a-z (case insensitive) for bases 11-36.

3. Common Base Systems

Details: Common bases include binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Each has specific applications in computing and mathematics.

4. Using the Calculator

Tips: Enter the number to convert, its current base (2-36), and the target base (2-36). The number can include digits 0-9 and letters a-z (case insensitive) for bases 11-36.

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum base supported?
A: The calculator supports bases from 2 to 36 (digits 0-9 plus letters a-z).

Q2: Are negative numbers supported?
A: No, the base_convert function only handles positive numbers.

Q3: How are fractional numbers handled?
A: The calculator only converts integer parts of numbers.

Q4: What happens if I enter invalid digits for a base?
A: The calculator will return an error message.

Q5: Can I convert between arbitrary bases?
A: Yes, you can convert between any two bases from 2 to 36.