What are the different number bases used for?

Binary (base-2) is used in digital electronics and computer logic. Hexadecimal (base-16) is used in programming for compact representation of binary data. Decimal (base-10) is the standard system for human-readable numbers and calculations.

How do I convert between these number systems manually?

To convert from binary to decimal, multiply each binary digit by 2 raised to its position power. For hex to decimal, multiply each hex digit by 16 raised to its position. Decimal to other bases uses repeated division by the target base.

Are there limits to the size of numbers I can convert?

The tool can handle very large numbers, but extremely large values may be limited by JavaScript's number precision. For cryptographic or scientific applications requiring arbitrary precision, consider specialized software.

Why do programmers use hexadecimal?

Hexadecimal provides a more compact way to represent binary data. Each hex digit represents 4 binary bits, making it easier to read and write long binary numbers. It's also commonly used for memory addresses, color codes, and encoded data.

Can I convert negative numbers?

The tool currently supports positive integers only. Negative numbers and floating-point values require different conversion methods and are not supported in this basic number base converter.

What is the largest number I can convert?

The tool supports numbers up to JavaScript's maximum safe integer (2^53 - 1), which is 9,007,199,254,740,991 in decimal. For larger numbers, consider using specialized big integer libraries.

Is this tool suitable for professional programming work?

Yes, this tool provides accurate conversions suitable for most programming tasks. However, for critical applications, always verify results and consider using built-in language functions or specialized libraries for production code.

How do I know if my input is valid?

The tool validates input in real-time. Binary accepts only 0s and 1s, hexadecimal accepts 0-9 and A-F (case-insensitive), and decimal accepts only digits 0-9. Invalid characters will show validation errors.

Binary Hex Decimal Converter

Convert between binary, hexadecimal, and decimal number systems

binary

hex

decimal

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Quick Presets

Common values for quick conversion

Input & Settings

Select an input base, enter a value, and convert to all representations.

Decimal Value

How it works: Enter a number in binary (0s and 1s), hexadecimal (0-9, A-F), or decimal (0-9) and convert it to all three representations instantly.

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