1. What is Fractional Number Conversion?

Fractional number conversion involves changing the representation of a number (including its fractional part) from one base to another. Common bases include binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16).

2. How Does the Calculator Work?

The calculator converts numbers between bases by:

Explanation: The fractional part conversion involves multiplying by the new base and tracking the integer parts of each multiplication.

3. Importance of Number Base Conversion

Details: Understanding different number bases is essential in computer science, digital electronics, and programming. Each base has specific applications:

• Binary: Fundamental for all digital systems
• Octal: Sometimes used in computing as shorthand for binary
• Hexadecimal: Common in programming and memory addressing

4. Using the Calculator

Tips:

• Enter the number you want to convert (e.g., "101.101" for binary, "A5.F" for hexadecimal)
• Select the current base of your number
• Select the base you want to convert to
• Hexadecimal digits can be uppercase or lowercase

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum precision for fractional parts?
A: The calculator shows up to 10 fractional digits to prevent infinite repeating fractions.

Q2: Can I convert between any bases?
A: The calculator supports bases 2 through 16, which covers most practical applications.

Q3: Why does my fractional conversion seem slightly off?
A: Some fractions can't be represented exactly in certain bases, leading to rounding errors.

Q4: How are hexadecimal numbers represented?
A: Hexadecimal uses digits 0-9 and letters A-F (case insensitive).

Q5: What happens with invalid input?
A: The calculator will show an error if the number contains digits not valid for the selected base.