Binary (base 2) is the native language of computers. Each bit is either 0 or 1. To convert binary to decimal, each bit is multiplied by 2 raised to the power of its position (right to left, starting at 0). This tool also shows octal and hexadecimal equivalents.
11001101) into the input field.Binary to Decimal Converter provides a seamless way to translate values across four major numeral systems: base-2, base-10, base-16, and base-8. This base conversion tool is essential for programmers and engineers who frequently switch between binary flags, decimal values, and hexadecimal colour codes while working with bitwise conversion or reading memory dumps.
Binary (base-2) is how CPUs actually store data - every register value and memory address is a sequence of 0s and 1s. This binary number translator makes reading that data easier by providing a hexadecimal (base-16) shorthand: one hex digit represents exactly 4 binary bits. Octal (base-8) also appears in legacy file permissions and embedded systems. Decimal is the most human-readable but often masks the underlying bit pattern that this converter reveals.
0x for hex, 0b for binary, 0o for octalWrite the binary number and, starting from the right, multiply each bit by 2 raised to its position: 1101 = (1×8) + (1×4) + (0×2) + (1×1) = 13.
Every hex digit maps to exactly 4 binary bits. The byte value 255 is 11111111 in binary and FF in hex - 2 characters instead of 8. Hex makes binary data much more readable without losing precision.
chmod 755 mean in binary?755 in octal is 111 101 101 in binary - three 3-bit groups for owner, group, and other. Bit pattern 111 = rwx (all permissions), 101 = r-x (read + execute, no write).
The tool uses JavaScript's BigInt for large number support, handling integers well beyond 32-bit and 64-bit ranges without overflow.
Whether you're debugging a script or learning computer science basics, our number base tools have you covered. Use Hex to Binary for opposite conversions, Binary to Text for data extraction, or our Bitwise Calculator for direct manipulation, and bookmark this Binary to Decimal Converter for all your future projects.