Binary / Decimal / Hex / Octal Converter
Convert numbers between binary, decimal, hexadecimal, and octal bases instantly with our free binary decimal hex octal converter. Enter a number in any base and see all four representations at once - with copy buttons, bit-length info, and a quick reference table. Supports large integers, negative numbers, and 0x/0b/0o prefixes. No signup required - all conversions run locally in your browser.
Enter a number in any base - binary, decimal, octal, or hexadecimal - and instantly see the equivalent value in all other bases. All conversions run locally in your browser with no data sent to any server.
| Decimal | Binary | Octal | Hex |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 10 | 1010 | 12 | A |
| 16 | 10000 | 20 | 10 |
| 255 | 11111111 | 377 | FF |
| 256 | 100000000 | 400 | 100 |
Why Use Our Binary Decimal Hex Octal Converter?
Instant Base Conversion
Convert binary to decimal, hex to octal, or any combination instantly in your browser. Our binary decimal hex octal converter processes numbers in milliseconds with zero wait time.
Secure Base Converter Online
All number base conversions happen locally in your browser. Your numbers never leave your device, ensuring 100% privacy when you use our binary decimal hex octal converter online.
Base Converter Online - No Installation
Use our binary decimal hex octal converter directly in any browser with no downloads, plugins, or software required. Convert number bases from any device, anywhere, for free.
All Four Bases at Once
Enter a number in any base and instantly see the result in all four bases simultaneously - binary, decimal, octal, and hexadecimal - with formatted output and copy buttons.
Common Use Cases for Binary Decimal Hex Octal Converter
Computer Science & Programming
Developers and CS students use binary decimal hex octal conversion daily when working with bitwise operations, memory addresses, and low-level data. Convert between bases instantly to debug and understand numeric representations in code.
Networking & IP Addressing
Network engineers convert decimal IP addresses to binary for subnet mask calculations and CIDR notation. Use our binary to decimal converter to quickly verify subnet boundaries and host ranges.
Embedded Systems & Microcontrollers
Firmware developers work with hexadecimal register values and binary bit flags constantly. Our hex to binary converter makes it easy to decode hardware registers and configure peripheral settings.
Digital Electronics & Logic Design
Electronics engineers use binary and hexadecimal when designing logic circuits, reading datasheets, and programming FPGAs. Convert decimal to binary to verify truth tables and logic gate outputs.
Color Codes & Web Development
Web developers convert hex color codes to decimal RGB values and back. Our hexadecimal converter helps you understand color channels, manipulate CSS values, and work with canvas pixel data.
Education & Learning
Students learning number systems use our binary decimal hex octal converter to check homework, understand positional notation, and practice manual conversions. The quick reference table reinforces learning.
Understanding Binary Decimal Hex Octal Conversion
What is Number Base Conversion?
Number base conversion is the process of expressing the same numeric value in different positional numeral systems. Every number system uses a radix (base) that defines how many unique digits are available. Our binary decimal hex octal converter supports the four bases most commonly used in computing: base 2 (binary), base 8 (octal), base 10 (decimal), and base 16 (hexadecimal). While the underlying value is identical, the representation changes dramatically - for example, the decimal number 255 is written as 11111111 in binary, 377 in octal, and FF in hexadecimal.
How Our Binary Decimal Hex Octal Converter Works
- 1. Enter Your Number: Select the input base (binary, decimal, octal, or hexadecimal) from the dropdown, then type your number into the input field. The converter accepts optional prefixes like 0b for binary, 0o for octal, and 0x for hex.
- 2. Instant Browser-Based Conversion: Click Convert and the tool instantly computes the equivalent value in all four number bases simultaneously. All processing happens locally in your browser - your numbers are never sent to any server.
- 3. Copy or Use Your Results: Each result row has a dedicated Copy button. Binary output is grouped in 4-bit nibbles and hex output in 2-digit bytes for easy reading. A metadata panel shows bit length, byte count, and sign.
The Four Number Bases Explained
- Binary (Base 2): Uses only digits 0 and 1. Each digit represents a single bit. Binary is the native language of digital computers and is used in bitwise operations, flags, and hardware registers.
- Decimal (Base 10): The standard number system using digits 0-9. Decimal is the base humans use naturally and is the default input/output for most programming languages and calculators.
- Octal (Base 8): Uses digits 0-7. Each octal digit represents exactly 3 binary bits, making it a compact way to express binary data. Octal is used in Unix file permissions (e.g. chmod 755).
- Hexadecimal (Base 16): Uses digits 0-9 and letters A-F. Each hex digit represents exactly 4 binary bits (one nibble). Hexadecimal is widely used in memory addresses, color codes, and bytecode.
How to Convert Between Bases Manually
To convert decimal to binary, repeatedly divide the number by 2 and record the remainders from bottom to top. For example, 13 ÷ 2 = 6 R1, 6 ÷ 2 = 3 R0, 3 ÷ 2 = 1 R1, 1 ÷ 2 = 0 R1 → reading remainders upward gives 1101.
To convert binary to decimal, multiply each bit by its positional power of 2 and sum the results. For 1101: (1×8) + (1×4) + (0×2) + (1×1) = 13. Our binary decimal hex octal converter handles all of this automatically, supporting arbitrarily large integers with no precision loss.
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Frequently Asked Questions About Binary Decimal Hex Octal Converter
A binary decimal hex octal converter is a tool that translates numbers between the four most common numeral systems used in computing: base 2 (binary), base 10 (decimal), base 8 (octal), and base 16 (hexadecimal). Enter a number in any base and instantly see its equivalent in all other bases.
Select "Binary (Base 2)" as the input base, enter your binary number (e.g. 11111111), and click Convert. The decimal result appears instantly alongside octal and hex equivalents. For 11111111, the decimal result is 255.
Select "Decimal (Base 10)" as the input base, enter your decimal number (e.g. 255), and click Convert. The hexadecimal result (FF) appears alongside binary and octal. Hex output is shown in uppercase with 2-digit byte grouping for readability.
Binary (base 2) uses only 0 and 1 - it is the native language of computers. Octal (base 8) uses digits 0-7 and each digit represents 3 binary bits, commonly used in Unix file permissions. Hexadecimal (base 16) uses 0-9 and A-F, where each digit represents 4 binary bits (one nibble), widely used in memory addresses and color codes.
Yes! Prefix your number with a minus sign (e.g. -255 in decimal, or -FF in hex) and the converter will correctly output the negative equivalent in all four bases. The sign is preserved across all conversions.
Our binary decimal hex octal converter uses JavaScript BigInt internally, so it supports arbitrarily large integers with no precision loss. There is no practical upper limit - you can convert numbers with hundreds of digits accurately.
Yes! Our converter is 100% free with no signup, no ads, and no usage limits. Convert numbers between binary, decimal, hex, and octal as many times as you need - completely free, forever.
Absolutely. All conversions happen locally in your browser using JavaScript. Your numbers are never sent to any server, ensuring complete privacy every time you use our binary decimal hex octal converter online.
Yes! The converter automatically strips common prefixes. You can enter 0xFF or FF for hexadecimal, 0b1010 or 1010 for binary, and 0o17 or 17 for octal - the tool handles both formats seamlessly.