Binary Converter
Convert binary to decimal, hexadecimal, octal, and ASCII — instantly and privately in your browser.
How it works: Enter a number in any base and this tool instantly converts it to all other bases. The Unicode/ASCII row shows the character mapped to that code point when valid. All calculations run locally in your browser.
Private by design
All conversions happen locally in your browser. Your numbers never leave your device.
Four-way conversion
Enter a number in any base and see equivalent values in binary, decimal, octal, and hex.
ASCII / Unicode lookup
When a code point is valid, the matching Unicode character is shown for quick reference.
How binary conversion works
Binary is the native language of computers. Every digital circuit operates on two states — high voltage (1) and low voltage (0). While machines speak binary, humans prefer more compact representations. That's where decimal, octal, and hexadecimal come in.
When you type a binary number like 101010, the tool calculates its decimal value (42) by summing powers of two. Each position in a binary number represents 2n, starting from the right. So 101010 = 32 + 8 + 2 = 42. The tool then converts that same value to octal (52) and hex (2A) for complete reference.
Common use cases for binary conversion
Embedded systems programmers configure microcontroller registers using binary bit masks. Network engineers inspect packet headers where flags are individual bits. Security analysts reverse-engineer file formats where every bit has meaning. Computer science students learn binary before moving on to bitwise operators AND, OR, XOR, and shifts.
Web developers encounter binary indirectly through color channels, bitwise CSS tricks, and WebGL shader masks. Data compression algorithms like Huffman coding build binary trees. Cryptography depends heavily on bit-level operations. No matter your domain, binary literacy is a valuable skill, and this tool makes conversion effortless.
Frequently asked questions
›What is a binary converter and why would I need one?
A binary converter translates numbers between binary (base 2) and other numeral systems like decimal (base 10), octal (base 8), and hexadecimal (base 16). Developers use them when working with bitwise operations, reading memory dumps, configuring hardware registers, or debugging network protocols.
›How do I convert binary to decimal?
Enter your binary number (e.g. 101010) in the input field, and the tool instantly shows the decimal equivalent (42). You can also switch the input mode to Decimal and enter a decimal number to see its binary representation.
›How do I convert binary to hexadecimal?
Enter a binary number like 11111111 and the tool will display FF in the Hexadecimal card. Hex is especially useful because each hex digit represents exactly four binary bits, making it compact for byte values.
›Can this tool convert binary text (ASCII) to a string?
When the converted decimal value maps to a valid Unicode code point, the tool displays the matching ASCII/Unicode character. For full binary-to-text conversion of multi-byte strings, use a dedicated text-to-binary tool.
›What is the maximum binary number I can enter?
The tool uses JavaScript's integer parsing, which handles 32-bit signed integers reliably. Very large binary strings may lose precision. For arbitrary-precision binary conversion, use a specialized big-integer library.
›Does this tool send my data to a server?
No. All conversion logic runs entirely in your browser using standard JavaScript parseInt and toString methods. Your input is never transmitted, logged, or stored on any server.
›Why is binary important in computing?
Computers operate using electrical signals that have two states: on and off. Binary (base 2) represents these states as 1 and 0. Every piece of data in a computer — text, images, programs — is ultimately stored as binary. Understanding binary is fundamental to computer science, digital electronics, and low-level programming.
›What is the difference between binary and hexadecimal?
Binary uses only two digits (0 and 1). Hexadecimal uses sixteen digits (0–9 and A–F). Hex is a human-friendly shorthand for binary because one hex digit equals exactly four binary bits. For example, the binary value 1111 1111 becomes FF in hex — much easier to read and write.
›Can I convert negative binary numbers?
Yes. If you enter a negative decimal value, the tool will show its binary representation using JavaScript's two's complement format for signed integers. Note that binary and hex formats for negative numbers follow the same two's complement rules.
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