Convert Between Number Systems Instantly
Binary Converter translates numbers between binary, decimal, octal, and hexadecimal bases. Enter any value, select the source base, and see all conversions instantly. Perfect for programming, computer science, and debugging low-level code.
Understanding Number Bases
Binary (base-2) is how computers store all data. Decimal (base-10) is human-standard. Hexadecimal (base-16) compresses binary for readability. Octal (base-8) is used in Unix permissions. Converting between them reveals how numbers are represented at different levels of computing.
Frequently Asked Questions
Q:What number systems does this converter support?
The converter supports binary (base-2), octal (base-8), decimal (base-10), and hexadecimal (base-16). Binary uses only 0s and 1s. Octal uses digits 0-7. Decimal uses 0-9. Hexadecimal uses 0-9 and A-F.
Q:How does binary to decimal conversion work?
Each binary digit (bit) represents a power of 2. For example, 101010 in binary equals 1×32 + 0×16 + 1×8 + 0×4 + 1×2 + 0×1 = 42 in decimal. The converter handles all conversions instantly in your browser.
Q:When would I need to convert between these formats?
Binary conversion is essential for bitwise operations, low-level programming, and computer science. Hex is common for memory addresses, color codes, and debugging. Octal appears in Unix file permissions. Use this tool for programming exercises, debugging, or learning number systems.