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Free Tool

Base Converter

Convert numbers between different systems instantly. Perfectly handles large numbers using BigInt.

Number Systems

Large Numbers

Uses BigInt for overflow-free conversion

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Type in any field to update all others

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Understanding Bases

Binary (Base 2): Used by computers (0s and 1s).
Decimal (Base 10): Our standard counting system (0-9).
Octal (Base 8): Sometimes used in computing (0-7).
Hexadecimal (Base 16): Commonly used for memory addresses and color codes (0-9, A-F).

Computer science exams love number conversions. Decimal to binary, hex to octal—mental math gets confusing, and one wrong digit cascades through the entire answer.

What This Tool Checks

  • Converts between Decimal, Binary, Hexadecimal, and Octal
  • Shows step-by-step conversion process
  • Handles large numbers accurately
  • Updates all bases in real-time as you type
  • Validates input for each number system
  • Works offline in your browser

Who Should Use This Tool

  • CS/IT students doing digital logic assignments
  • Students preparing for university exams
  • Anyone learning about number systems
  • Developers working with low-level code
  • Programmers needing quick hex-to-decimal conversion

Common Mistakes to Avoid

  • ✕Confusing hex letters (A-F) with decimal digits
  • ✕Forgetting that binary can only have 0 and 1
  • ✕Making calculation errors when converting manually
  • ✕Not double-checking conversions in exam answers

Frequently Asked Questions

Each bit position represents a power of 2. From right: 1, 2, 4, 8, 16, 32... Just add the values where the bit is 1. Example: 1010 = 8 + 0 + 2 + 0 = 10.
Hex is compact—4 binary digits = 1 hex digit. Colors, memory addresses, and byte values are shorter in hex. 0xFF is easier to read than 11111111 binary or 255 decimal.
For verification, yes. But exams require manual conversion—use this to check your work. Practice the steps manually first, then verify here. Understanding the process matters more than the answer.
Unsigned: all bits are value bits. Signed (two's complement): the leftmost bit indicates sign. This tool handles unsigned integers—for signed, the most significant bit would be interpreted as negative.
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