Number System Converter

A Number System Converter is a tool or algorithm that allows you to convert a number from one numeral system (or base) to another. Number systems are ways of representing numbers using different sets of symbols or digits. Commonly used number systems include:

Common Number Systems:

1. Binary (Base 2):

   • Uses digits 0 and 1.
   • Example: 101021010_2 1010 2​ (binary) = 101010_{10} 10 10​ (decimal)

2. Decimal (Base 10):

   • The standard number system most people use in everyday life, using digits 0–9.
   • Example: 101010_{10} 10 10​ (decimal) = 101021010_2 1010 2​ (binary)

3. Octal (Base 8):

   • Uses digits 0–7.
   • Example: 12812_8 12 8​ (octal) = 101010_{10} 10 10​ (decimal)

4. Hexadecimal (Base 16):

   • Uses digits 0–9 and letters A–F (where A=10, B=11, C=12, etc.).
   • Example: A16A_{16} A 16​ (hexadecimal) = 101010_{10} 10 10​ (decimal)

5. Base 36:

   • Uses digits 0–9 and letters A–Z (with A=10, B=11, ..., Z=35).
   • Example: 193619_{36} 19 36​ (base 36) = 451045_{10} 45 10​ (decimal)

Purpose of a Number System Converter:

• Converting between systems: A converter allows you to convert numbers from one base (like binary) to another (like decimal), making it useful for people working in fields like computer science, cryptography, electronics, and mathematics.
• Learning and understanding: It helps students and professionals learn about different bases and how numbers can be represented in various ways.
• Software development: Developers often need to convert between bases when working with data in different formats or performing operations in different numeric bases.

Common Conversions:

• Binary to Decimal
• Decimal to Binary
• Binary to Octal
• Decimal to Octal
• Hexadecimal to Decimal
• Decimal to Hexadecimal
• Base 36 to Decimal
• Decimal to Base 36