Number Base Converter

How to Use

1. Enter your number in the input field at the top. The tool accepts positive numbers, negative numbers (with a leading minus), and uppercase or lowercase letters for bases above 10.
2. Select the source base from the dropdown, which lists all bases from 2 to 36. Common bases like Binary (2), Octal (8), Decimal (10), and Hexadecimal (16) are labeled for convenience.
3. Or enable Auto-Detect to let the tool automatically determine the base from the prefix: 0x for hexadecimal, 0b for binary, 0o for octal, and no prefix defaults to decimal.
4. View all bases at once— the tool simultaneously shows your number converted to Binary, Octal, Decimal, Hexadecimal, Base32, and Base36. Each result has its own copy button for quick clipboard access.
5. Copy any resultby clicking the “Copy” button next to the desired base output. The converted value is copied to your clipboard, ready to paste wherever you need it.

Common Number Systems

• Binary (Base 2)— The native language of digital computers. Uses only two digits, 0 and 1. Each position represents a power of 2. Binary is essential for understanding bit manipulation, flags, and low-level hardware interactions.
• Octal (Base 8)— Uses digits 0–7. Each octal digit corresponds to exactly 3 binary digits, making it a compact representation of binary data. Historically popular in Unix file permissions (e.g., chmod 755).
• Decimal (Base 10)— The everyday number system used by humans. Uses digits 0–9 with each position representing a power of 10. This is the default base for most human-facing calculations and displays.
• Hexadecimal (Base 16)— Uses digits 0–9 and letters A–F. Each hex digit maps to exactly 4 binary digits (a nibble). Widely used for memory addresses, color codes (like#FF5733), MAC addresses, and machine code.
• Base32— Uses digits 0–9 and letters A–V. Commonly used in encoding schemes where case-insensitivity is needed, such as DNSSEC, certain token formats, and some authentication systems.
• Base36— Uses digits 0–9 and letters A–Z. The most compact standard alphanumeric base. Used in URL shorteners, database identifiers, and content addressing schemes where readability and compactness both matter.

Common Use Cases

• Programming & debugging— Convert between hex, binary, and decimal when reading memory addresses, register values, or bitmasks in debugging sessions and documentation.
• Network configuration— Subnet masks, IP addresses, and port numbers are frequently expressed in different bases. Convert between binary, octal, and hex to verify configurations.
• Web development— CSS color codes use hexadecimal. Understanding the relationship between hex and decimal helps when adjusting colors, opacity values, and RGB channels programmatically.
• Cryptography & security— Hash digests, encryption keys, and certificates are often displayed in hexadecimal. Converting to decimal or binary can aid in analysis and verification.
• Education— Students learning about numeral systems, digital logic, and computer architecture use base conversion to verify their manual calculations and build intuition about positional notation.
• Embedded systems— Microcontroller registers, fuse bits, and memory-mapped I/O are typically documented in hexadecimal or binary. Quick conversion to decimal helps with arithmetic and comparison.