Number Base Converter
LiveConvert numbers between binary, octal, decimal, and hexadecimal bases.
Understanding Number Systems & Base Conversion
Number base conversion transforms values between decimal (base 10), binary (base 2), octal (base 8), and hexadecimal (base 16) systems used across different computing domains. Binary is fundamental to hardware design and bitwise operations, octal appears in Unix file permissions, hexadecimal is standard for memory addresses, colors, and byte representation, and decimal is the human-readable default. Embedded programmers, network engineers, and low-level developers constantly convert between these bases when reading register values, debugging memory dumps, and implementing bit-manipulation algorithms.
Convert numbers between any base including binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16), and custom bases up to 36. Supports large numbers and batch conversion.
The Devkitr Number Base Converter transforms integers between binary, octal, decimal, and hexadecimal representations. Enter a number in any base and see the equivalent value in all four bases simultaneously, with support for large numbers, negative values (two's complement), and grouped digit display for readability.
In a typical development workflow, Number Base Converter becomes valuable whenever you need to convert numbers between binary, octal, decimal, and hexadecimal bases. Whether you are working on a personal side project, maintaining production applications for a company, or collaborating with a distributed team across time zones, having a reliable browser-based conversion tool eliminates the need to install desktop software, write one-off scripts, or send data to third-party services that may log or retain your information. Since Number Base Converter processes everything locally on your device, your data stays private and your workflow stays uninterrupted — open a browser tab, paste your input, get your result.
Key Features
Simultaneous Four-Base Display
Shows binary, octal, decimal, and hexadecimal representations of any input number updated in real time.
Grouped Digit Display
Groups binary digits in 4-bit nibbles and hexadecimal in byte pairs for easier reading of long numbers.
Large Number Support
Handles numbers beyond 32-bit and 64-bit ranges using arbitrary-precision arithmetic for cryptographic and mathematical work.
Bitwise Visualization
Shows individual bit positions for binary values, useful for understanding flag fields, masks, and bitwise operations.
How to Use Number Base Converter
Enter a Number
Type a number in any base — prefix with 0b for binary, 0o for octal, 0x for hexadecimal, or no prefix for decimal.
View All Bases
All four base representations update instantly, showing the equivalent value in binary, octal, decimal, and hex.
Toggle Grouping
Enable digit grouping for readability — 4-bit groups for binary (1010 0011), byte groups for hex (A3 FF).
Copy Any Base
Copy the value in whichever base your target context requires — hex for colors, binary for bit masks, decimal for calculations.
Use Cases
Converting CSS Color Values
Convert hex color components (FF, A3, 2B) to decimal (255, 163, 43) for RGB functions or vice versa.
Debugging Memory Addresses
Convert hexadecimal memory dumps to binary to analyze individual bit flags and register values in embedded systems.
Calculating File Permissions
Convert octal permission values (755, 644) to binary to understand which permission bits are set for owner, group, and others.
Implementing Bitwise Operations
Convert between decimal and binary to verify the results of AND, OR, XOR, and shift operations during algorithm development.
Pro Tips
Each hexadecimal digit maps to exactly 4 binary digits — use this mapping (A=1010, F=1111) for quick mental hex-to-binary conversion.
Octal digits map to exactly 3 binary digits — this is why Unix permissions use octal (each digit represents r/w/x for one user class).
Use hex for compact representation and binary when you need to see individual bit values — they convert trivially to each other.
Remember common hex values: 0xFF = 255 (max byte), 0xFFFF = 65535 (max 16-bit), 0x7FFFFFFF = max signed 32-bit integer.
Common Pitfalls
Forgetting the 0x, 0b, or 0o prefix when entering non-decimal numbers
Fix: Without a prefix, "10" is interpreted as decimal ten, not binary two or hex sixteen. Always use 0b10, 0o10, or 0x10 for non-decimal input.
Not accounting for signed vs unsigned interpretation of binary values
Fix: The binary value 11111111 is 255 unsigned but -1 in 8-bit two's complement. Specify whether the value is signed or unsigned.
Truncating leading zeros when copying binary values
Fix: Binary values for hardware registers and protocols often require specific bit widths. Preserve leading zeros to maintain the expected bit count (8, 16, 32, or 64 bits).
Frequently Asked Questions
QWhich number bases are supported?
Binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16), and custom bases from 2 to 36.
QCan I convert large numbers?
Yes. The tool handles large numbers accurately using appropriate precision techniques.
QWhat is hexadecimal used for?
Hexadecimal is widely used in programming for memory addresses, color codes (#FF0000), and representing binary data compactly.
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