Binary Converter — Convert Between Binary, Text, and Decimal
Convert between binary (base-2), decimal, hexadecimal, and ASCII text. Visualize how computers represent data at the bit level.
Understanding Binary Representation
All digital data is ultimately stored as binary: sequences of 0s and 1s. Text characters are mapped to binary using encoding schemes like ASCII (7 bits per character) and UTF-8 (variable length). Numbers are stored in formats like two's complement for integers and IEEE 754 for floating point. This tool helps you see exactly how data is represented at the lowest level.
Binary Arithmetic and Bitwise Operations
The converter also supports basic binary arithmetic (addition, subtraction) and bitwise operations (AND, OR, XOR, NOT, shifts). These operations are fundamental to low-level programming, networking (subnet masks), and cryptography. Enter two binary values and select an operation to see the result with a step-by-step breakdown.
Frequently Asked Questions
Each binary digit (bit) represents a power of 2, starting from the rightmost bit. For example, 1101 equals 1x8 + 1x4 + 0x2 + 1x1 = 13 in decimal. The tool shows the breakdown for each byte automatically.
Binary is the raw base-2 representation of data (0s and 1s). Base64 is an encoding that represents binary data using 64 printable ASCII characters for safe transmission over text-based protocols. They serve fundamentally different purposes.