Binary Converter
Convert values between binary, decimal, hexadecimal and octal instantly.
Free Online Binary Converter
Our binary converter lets you convert whole-number values between binary, decimal, hexadecimal and octal number systems. It is useful for programmers, computer science students, networking learners and anyone working with digital values. The conversion runs directly in your browser and requires no registration.
How to Use the Binary Converter
Enter a value, select its current number system, and choose Convert. The binary converter displays the same value in base 2, base 10, base 16 and base 8 at the same time. For example, binary 101010 equals decimal 42, hexadecimal 2A and octal 52.
Binary to Decimal Conversion
Binary uses only 0 and 1. Each position represents a power of two. To convert binary to decimal manually, multiply each binary digit by its corresponding power of two and add the results. This online binary converter performs that calculation instantly.
Decimal to Binary Conversion
Decimal is the familiar base-10 system. Computers commonly represent values in binary because digital logic uses two states. Converting decimal to binary expresses the same integer using powers of two.
Binary, Hexadecimal and Octal
Hexadecimal uses digits 0–9 and letters A–F and is common in programming, memory addresses and color notation. Octal is base 8 and uses digits 0–7. Binary, hexadecimal and octal are closely related because their bases are powers of two.
Binary Converter Examples
| Binary | Decimal | Hex | Octal |
|---|---|---|---|
| 1010 | 10 | A | 12 |
| 11111111 | 255 | FF | 377 |
Why Use an Online Binary Converter?
Manual base conversion is valuable for learning, but it becomes repetitive when checking many values. A binary converter provides a quick way to verify homework, inspect programming values, compare number systems and reduce arithmetic errors.
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Frequently Asked Questions
What is a binary number?
A binary number is written in base 2 and contains only the digits 0 and 1.
Can this binary converter convert hexadecimal?
Yes. Select hexadecimal as the input format and the tool will return binary, decimal, hexadecimal and octal equivalents.
Does the converter support octal values?
Yes. Octal input containing digits 0 through 7 is supported.
Is this binary converter free?
Yes. It is free to use online without creating an account.
Are my values uploaded?
No server-side conversion is required; the calculation is performed locally in your browser.
For background on number systems and JavaScript numeric representations, see MDN Web Docs.
How to Use the Binary Converter
Enter a value in binary, decimal, hexadecimal or octal form and convert it to the other supported number systems. This is useful for programming, digital electronics, networking and computer-science exercises.
Practical Example
The decimal value 15 converts to binary 1111, hexadecimal F and octal 17.
Factors That Affect the Result
The selected input base, valid digits, sign, integer size and whether prefixes such as 0x are supported can affect parsing. A digit that is valid in decimal may be invalid in binary or octal.
Frequently Asked Questions
What digits are valid in binary?
Binary uses only 0 and 1.
Why is hexadecimal useful?
Hexadecimal represents binary data compactly because each hex digit corresponds to four binary bits.
Can negative values be converted?
That depends on the tool’s supported input rules and whether signed values are accepted.