Number Base Converter
Convert between binary, octal, decimal, and hexadecimal
Quick Reference
The number base converter lets you instantly translate values between binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Enter a number in any base and the other three representations appear in real time. It is an essential tool for computer science students, embedded developers, network engineers, and anyone who works with low-level data representations.
๐ How to Use
- Select the base of your input number
- Enter the number in that base
- Other bases are calculated automatically
- Copy the result you need
โจ Features
- โBinary/octal/decimal/hex conversion
- โReal-time auto-conversion
- โCase insensitive input
- โGreat for programming study
- โQuick reference table
๐ก Use Cases
- โขCS Students: Verify binary, octal, and hexadecimal conversion homework problems instantly.
- โขEmbedded Developers: Convert register values and bitmasks from hex to binary for bit-level debugging.
- โขNetwork Engineers: Convert subnet masks to binary to analyze network ranges and CIDR notation.
- โขSecurity Analysts: Translate hex values from memory dumps to decimal for data interpretation.
- โขWeb Developers: Convert Unicode code points from hexadecimal to decimal to look up character codes.
๐ฏ Tips
- โธHexadecimal input is case-insensitive โ ff and FF are treated identically.
- โธGroup binary digits in sets of four to map each group to one hex digit (e.g., 1111 = F).
- โธUse the quick reference table to look up frequently used conversions at a glance.
- โธIn most programming languages, 0x means hex, 0b means binary, and 0o means octal.
โ FAQ
Q. What do A-F mean in hexadecimal?
A. They represent 10=A, 11=B, 12=C, 13=D, 14=E, 15=F.
Q. Can I convert negative numbers?
A. Currently only positive numbers are supported.
Q. Why is hexadecimal used so often in computing?
A. One hex digit represents exactly 4 bits, so a byte (8 bits) maps neatly to two hex digits. This makes memory addresses, color codes, and byte-level data much more compact than binary.
Q. Where is octal used in practice?
A. Octal is mainly used in Unix/Linux file permissions (e.g., chmod 755). Each digit represents read, write, and execute permissions for owner, group, and others.
Q. How do I represent number bases in code?
A. Most languages use 0x for hex (0xFF), 0b for binary (0b1010), and 0o for octal (0o17). JavaScript, Python, Go, and Rust all support these prefixes.