Binary, Hex & Decimal Converter
Convert integer values across Binary, Octal, Decimal, and Hexadecimal number bases in real time for computer science, networking, and embedded engineering.
About the Binary, Hex & Decimal Converter
A number base (radix) converter translates values between different positional numeral systems. While everyday human counting relies on the Decimal system (base 10), computer science and digital electronics rely heavily on Binary (base 2), Octal (base 8), and Hexadecimal (base 16).
Binary uses only two symbols (0 and 1), directly mirroring the physical on/off voltage states of semiconductor transistors. Hexadecimal uses sixteen symbols (0–9 followed by letters A–F, where A=10, B=11, C=12, D=13, E=14, F=15). Hexadecimal is popular in programming because one hex digit corresponds to exactly four binary bits (one nibble), and two hex digits represent one 8-bit byte (00 to FF = 0 to 255).
Octal (base 8, digits 0–7) groups bits into sets of three, historically popular in computing architectures and still standard today for representing Unix file system permissions (e.g. chmod 755).
The decimal number 255 translates to: Binary: 11111111 (8 bits), Hexadecimal: FF, and Octal: 377.
Tips for best results
- In code, hexadecimal numbers are commonly prefixed with '0x' (e.g. 0xFF), binary numbers with '0b' (0b1010), and octal numbers with '0o' (0o755).
- To convert binary to hexadecimal by hand, split the binary digits into groups of 4 starting from the right and translate each 4-bit group into its single hex equivalent.
- In Unix permissions, 755 represents Read/Write/Execute for owner (7 = 4+2+1), Read/Execute for group (5 = 4+1), and Read/Execute for others (5 = 4+1).
How to use the Binary, Hex & Decimal Converter
Why use Toolseza for Binary, Hex & Decimal Converter?
Use this tool as often as you need with no paywalls, premium tiers, or hidden daily calculation quotas.
All calculations and file manipulations run inside your web browser. Your inputs are never sent to a cloud server.
Results update in real-time as you type or adjust settings, with instant one-click copy and export capabilities.
Works natively on smartphones, tablets, laptops, and desktop computers with zero installation or account creation.
Editorial Standards & Verification: All formulas, algorithms, and conversion factors implemented on Toolseza adhere to openly documented international standards (ISO, NIST, BIPM, W3C). Results are verified against benchmark reference datasets before publication.
Frequently Asked Questions
What bases are supported?
Binary (Base 2), Octal (Base 8), Decimal (Base 10), and Hexadecimal (Base 16) with instant four-way conversion.