Convert numbers between different bases including binary, octal, decimal, and hexadecimal. Perfect for programming and mathematical calculations.
Binary is a base-2 number system that uses only two digits: 0 and 1. It's the fundamental language of computers and digital electronics, where each bit represents an on/off state. Binary is essential in programming, computer science, and digital circuit design.
To convert decimal to hexadecimal, divide the decimal number by 16 repeatedly and record the remainders. The remainders, read from bottom to top, give the hexadecimal result. For example, 255 in decimal equals FF in hexadecimal (15×16 + 15×1).
Hexadecimal is a base-16 number system using digits 0-9 and letters A-F. It's widely used in programming because it provides a more compact and readable way to represent binary data. Each hexadecimal digit represents exactly 4 binary digits (bits), making it ideal for representing memory addresses, color codes, and byte values.
To convert binary to decimal, multiply each binary digit by 2 raised to its position (counting from right, starting at 0), then sum the results. For example, binary 1010 = (1×2³) + (0×2²) + (1×2¹) + (0×2⁰) = 8 + 0 + 2 + 0 = 10 in decimal.
Octal is a base-8 number system using digits 0-7. It's commonly used in Unix/Linux file permissions (e.g., chmod 755), digital displays, and some programming contexts. Each octal digit represents exactly 3 binary digits, making conversion straightforward.
Yes, you can convert between any number bases from base 2 to base 36. The most common bases are binary (2), octal (8), decimal (10), and hexadecimal (16). Our converter supports extended bases including ternary (3), quaternary (4), duodecimal (12), and base-36, which uses 0-9 and A-Z.
Number base conversion is essential for: computer programming (working with memory addresses and bitwise operations), network administration (IP address calculations), cryptography, color code conversion in web design, debugging and reverse engineering, digital electronics design, and understanding low-level computer operations.
Hexadecimal color codes represent RGB (Red, Green, Blue) values in base-16. A color code like #FF5733 contains three pairs: FF (red=255), 57 (green=87), and 33 (blue=51). Each pair is a hexadecimal number from 00 to FF (0 to 255 in decimal), controlling the intensity of each color channel.