🧮 Binary Converter
Translate binary numbers into decimal, octal, and hexadecimal formats.
Type a binary or decimal value to see its equivalents in other numbering systems. Helpful for programmers, electronics hobbyists, and students.
Supports optional leading minus for negative values.
Enter base-10 integer values. Negative numbers are supported.
From Binary
Decimal: 42
Octal: 52
Hex: 2A
From Decimal
Binary: 101010
Octal: 52
Hex: 2A
How to Use This Calculator
Enter a binary value
Use digits 0 and 1 (optionally with a leading minus). The converter shows decimal, octal, and hex.
Or enter a decimal value
Provide a base-10 integer to see its binary, octal, and hexadecimal equivalents.
Copy results
Use the outputs in programming, electronics calculations, or homework assignments.
Formula
Decimal = ÎŁ (bit Ă— 2^position)
Binary = Convert decimal using repeated division by 2
Octal/Hex = Group binary digits in 3 or 4 bits, respectively
Use the formula breakdown to confirm the calculation logic or perform the conversion manually if needed.
Full Description
Binary numbers represent base-2 values used in computers and digital electronics. This converter allows quick translation between binary, decimal, octal, and hexadecimal so you can read and write values in whichever system suits your task.
Whether you are interpreting microcontroller register values or debugging a bitmask, seeing multiple bases side by side is invaluable.
The converter supports negative numbers by applying two’s complement logic conceptually (sign handling) and readouts stay consistent across all formats.
Frequently Asked Questions
Does it support fractional values?
No. This converter focuses on integers. For fractions, use a specialized binary floating-point tool.
Are negative values supported?
Yes. Enter a leading minus sign. Outputs show the magnitude in other bases with the same sign.
Can I copy the results easily?
Yes. The outputs are plain text—highlight and copy the ones you need.
Does it handle very large numbers?
Within JavaScript’s safe integer range (±9,007,199,254,740,991), conversions are accurate.