Binary to Decimal Converter
Convert binary to decimal, hexadecimal, and octal instantly. Free online binary converter with real-time conversion. Learn binary with step-by-step explanation.
Frequently Asked Questions
How do I convert binary to decimal?
Enter a binary number (e.g., 11111111) and the tool shows the decimal equivalent (255). Binary uses only 0 and 1. Each position represents a power of 2: the rightmost bit is 2^0 (1), the next is 2^1 (2), then 2^2 (4), and so on.
What is binary used for?
Binary (base 2) is the fundamental number system of all digital computers. Processors, memory, and storage all operate on binary values. Understanding binary is essential for low-level programming, networking (subnet masks), and digital electronics.
How do I read binary numbers?
Read binary right to left, multiplying each digit by its power of 2. For example, 1101 = (1x8) + (1x4) + (0x2) + (1x1) = 13. The tool shows the decimal result instantly, plus hex and octal equivalents.
Can I convert negative binary numbers?
This tool handles unsigned binary numbers. For signed integers in two's complement notation, the leftmost bit is the sign bit. The tool focuses on positive integer conversion between binary, decimal, hex, and octal bases.