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Number systems

Online Number System Converter

Convert between binary, octal, decimal and hexadecimal without silently losing integer precision.

Input

Convert with exact base arithmetic

BigInt precision
BinaryBase 2
101101
OctalBase 8
55
DecimalBase 10
45
HexadecimalBase 16
2D

About the Online Number System Converter

The Number System Converter is an essential free engineering tool designed for students and developers working with digital systems, computer organization, and low-level programming. Converting numerical representations accurately across multiple bases is critical when analyzing machine code, memory offsets, and hardware registers.

Supported Number Bases & Conversion Examples

Our Online Base Converter provides simultaneous multi-base evaluation across four fundamental numeral systems:

  • Binary (Base 2): Uses digits 0 and 1 (e.g., 0b101101). Essential for digital logic and circuit design.
  • Octal (Base 8): Uses digits 0 through 7 (e.g., 0o55). Frequently used in Unix file permissions and legacy computing.
  • Decimal (Base 10): Standard base-10 integers used in everyday arithmetic and high-level programming.
  • Hexadecimal (Base 16): Uses digits 0-9 and letters A-F (e.g., 0x2D). Indispensable for memory addresses and color codes.

Arbitrary Precision with BigInt

Standard floating-point number representation in JavaScript introduces precision loss for integers exceeding $2^53 - 1$. The GSTools base converter leverages native BigInt arithmetic, ensuring that even exceptionally large integers (such as 64-bit or 128-bit bitmasks) convert with 100% mathematical exactness.

Complement your number base work by testing combinational circuits in our Logic Gate Simulator.