Base Converter Tool - Binary Octal Decimal Hexadecimal 2-36

A base (radix) determines the weight of each position in a numerical representation. Decimal is our everyday counting system (0-9), while computers are fundamentally based on binary (0/1). Each base has its advantages in specific domains:

• Binary (Base 2): The most fundamental language of computers — all data is ultimately stored and processed as 0s and 1s.
• Octal (Base 8): Every 3 binary digits map to 1 octal digit; commonly used for Unix/Linux file permissions (e.g., chmod 755).
• Decimal (Base 10): The most familiar counting system for humans, originating from our ten fingers.
• Hexadecimal (Base 16): Every 4 binary digits map to 1 hex digit (0-9, A-F); widely used for memory addresses, color values (#FF5733), MAC addresses, etc.

Base conversion relies on two core techniques: positional expansion and repeated division:

• Other base → Decimal: Multiply each digit by its positional weight (power of the base) and sum them up. Example: binary 1010 = 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 8+0+2+0 = 10.
• Decimal → Other base: Repeatedly divide by the target base, record remainders, then read them in reverse order.

This tool uses JavaScript's BigInt type for computation, handling arbitrarily large integers without precision loss (regular Number type loses precision beyond 2⁵³).

All base conversion operations in this tool execute entirely within your local browser, with no server communication involved:

• Your input values are never sent to any remote server
• Conversion results are generated and displayed only locally
• No registration or login required to use all features
• All data is automatically cleared when you close the page

You can safely use it for sensitive data such as internal system encodings or key fragments without worrying about information leakage.