Binary Decimal Hex Converter
Binary Decimal Hex Converter Tool. Convert between Binary, Decimal, and Hexadecimal number systems instantly. Enter a number in any field to see its equivalent in other bases.
Number System Converter Guide
Understanding Number Systems
A number system is a mathematical notation for representing numbers. Different number systems use different symbols and rules to represent values. The most commonly used systems are binary (base-2), decimal (base-10), hexadecimal (base-16), and octal (base-8).
Common Number Systems
- Binary (Base-2): Uses only 0s and 1s, fundamental for computer systems
- Decimal (Base-10): Standard system using digits 0-9
- Hexadecimal (Base-16): Uses digits 0-9 and letters A-F
- Octal (Base-8): Uses digits 0-7, useful in computing
Common Uses
- Computer programming and debugging
- Digital electronics and hardware design
- Memory addressing and data representation
- Network and system administration
Converting Between Systems
- Binary to Decimal: Multiply each digit by powers of 2
- Decimal to Binary: Divide by 2 repeatedly and track remainders
- Hexadecimal: Group binary digits in sets of four
- Octal: Group binary digits in sets of three
Frequently Asked Questions
Why use different number systems?
Different number systems are optimized for different uses. Binary is fundamental to computer operations, hexadecimal provides a compact way to represent binary data, and decimal is natural for human counting.
What is the largest decimal number that can be represented with 8 bits?
In 8 bits, you can represent decimal numbers from 0 to 255 (binary 11111111).
Why is hexadecimal commonly used in programming?
Hexadecimal provides a more concise way to represent binary data, where each hexadecimal digit represents exactly 4 binary digits.