🔢 Number Base Converter
Convert numbers between binary, octal, decimal, and hexadecimal bases instantly. See all representations at once.
Number Base Converter
The Number Base Converter translates numbers between the four most commonly used number systems: Binary (base 2), Octal (base 8), Decimal (base 10), and Hexadecimal (base 16). Each base serves different purposes in computing, programming, and digital electronics.
Enter a number in any of the four bases, and the tool instantly displays the equivalent value in all other bases. This is invaluable for programmers working with low-level code, students learning number systems, and anyone dealing with digital data representations.
Understanding different number bases is fundamental to computer science. Binary represents raw machine data, octal is used in file permissions and some legacy systems, decimal is the human standard, and hexadecimal is the preferred format for memory addresses, color codes, and debugging.
Frequently Asked Questions
What is the difference between binary and hexadecimal?
Binary (base 2) uses only 0 and 1 and is the fundamental language of computers. Hexadecimal (base 16) uses digits 0-9 and letters A-F, and is commonly used as a human-readable representation of binary data.
How do I convert decimal to binary?
To convert decimal to binary, repeatedly divide the number by 2 and record the remainders in reverse order. For example, 13 ÷ 2 = 6 R 1, 6 ÷ 2 = 3 R 0, 3 ÷ 2 = 1 R 1, 1 ÷ 2 = 0 R 1, giving binary 1101.
What is octal used for?
Octal (base 8) was historically used in computing as a shorthand for binary, since each octal digit represents exactly 3 binary bits. It is still used in Unix file permissions (e.g., chmod 755).