Binary to Decimal

About the Binary to Decimal Converter

The Binary to Decimal Converter translates numbers between binary (base-2) and decimal (base-10) representation instantly. Computer science students learning number systems, embedded developers reading datasheets, network engineers reading IP address bits, and curious learners exploring how computers actually count all rely on this conversion every day.

How binary works

Binary uses only two digits — 0 and 1 — because computer transistors have just two stable states: off and on. Each position in a binary number represents a power of two: rightmost position = 2⁰ (1), next = 2¹ (2), then 2² (4), 2³ (8), and so on. The decimal value is the sum of every position where the digit is 1. So 1011 = 8 + 0 + 2 + 1 = 11.

How to use it

1. Type a binary number (only 0s and 1s) into the input box.
2. The decimal equivalent appears instantly.
3. Or type a decimal number to see its binary representation.
4. Copy either result with one click.

Common use cases

Homework assignments in computer science 101 courses, debugging bitwise operations in low-level code, decoding sensor readings from microcontroller datasheets, understanding IP subnet masks and network prefixes, working with file permissions in Unix (where 755 in octal = 111 101 101 in binary), and learning how computers actually represent everything from text characters to floating-point numbers.

Privacy and precision

Conversion happens entirely in your browser using native JavaScript integer math. There are no rounding errors for whole numbers up to 53 bits (about 9 quadrillion). Numbers above that range can also be handled via the BigInt API. Nothing about your conversion is logged or transmitted.

Tamer Baghdadi

CEO / Co-Founder