1. What is Fraction Calculator And Number System?

This calculator performs division of two numbers in different number systems (binary, octal, decimal, hexadecimal) and converts the result to another number system. It helps understand how fractional values are represented across different bases.

2. How Does the Calculator Work?

The calculator follows these steps:

Where:

• Convert numerator and denominator from source base to decimal
• Perform division in decimal system
• Convert the result back to target base
• For fractional part, multiply by base and take integer parts

3. Importance of Number System Conversion

Details: Understanding number system conversions is fundamental in computer science, digital electronics, and programming. Different systems are used for different purposes (binary for computers, hex for memory addresses, etc.).

4. Using the Calculator

Tips: Enter numerator and denominator in the source base format. Select appropriate source and target bases. The calculator will show the division result in the target base.

5. Frequently Asked Questions (FAQ)

Q1: Why do we need different number systems?
A: Different systems have different advantages - binary is simple for digital circuits, hex is compact for representing binary, decimal is natural for humans.

Q2: How are fractions represented in non-decimal bases?
A: Similar to decimal, but each digit represents a power of the base. For example, 0.1 in base 2 is 1/2, 0.1 in base 8 is 1/8.

Q3: What about repeating fractions?
A: Like 1/3 in decimal (0.333...), fractions can repeat in any base. The calculator shows a finite approximation.

Q4: Can I convert between any bases?
A: The calculator supports common bases (2, 8, 10, 16). Other bases would require custom implementation.

Q5: Why does my input need to match the source base?
A: Each base has different valid digits (binary only 0-1, hex 0-9,A-F). Invalid digits would make the conversion impossible.