1. What Is A Base Calculator?

A Base Calculator (or Number System Radix Calculator) converts numbers between different bases (radix). The most common bases are binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16), but any base from 2 to 36 can be used.

2. How Does The Calculator Work?

The calculator performs base conversion in two steps:

Technical Details:

• Uses PHP's built-in base_convert() function
• Supports bases from 2 to 36
• For bases >10, letters A-Z represent values 10-35

3. Importance Of Base Conversion

Details: Base conversion is essential in computer science (binary/hex), digital electronics, cryptography, and mathematics. Understanding different number systems helps in low-level programming and data representation.

4. Using The Calculator

Tips:

• Enter the number you want to convert
• Specify its current base (2-36)
• Specify the target base (2-36)
• For bases >10, letters can be uppercase or lowercase

5. Frequently Asked Questions (FAQ)

Q1: What is the highest base supported?
A: The calculator supports bases up to 36 (digits 0-9 and letters A-Z).

Q2: How are letters used in higher bases?
A: A=10, B=11, ..., Z=35. Letters can be uppercase or lowercase.

Q3: Can I convert fractional numbers?
A: This calculator only handles integer conversions. For fractional numbers, more complex methods are needed.

Q4: Why is base conversion important in computing?
A: Computers use binary (base 2) internally, while humans typically use decimal. Hexadecimal (base 16) is often used as a compact representation of binary.

Q5: What's the difference between base and radix?
A: They are synonymous terms referring to the number of unique digits in a number system.