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AllKit

Number Base Converter

Convert numbers between binary, octal, decimal, and hexadecimal instantly.

100% Client-Side — Your data never leaves your browserFree — No signup required

Common Values

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What is Number Base Converter?

If you work with low-level programming, networking, hardware, or any form of digital systems, you constantly need to convert numbers between bases. What is 0xFF in decimal? What is 192 in binary? What is the octal representation of file permission 755? AllKit's Number Base Converter gives you instant, real-time conversion between binary, octal, decimal, and hexadecimal — all four updating simultaneously as you type in any field.

Unlike other converters that make you select an input base and output base, then press a Convert button, this tool shows all four representations at once. Type a decimal number and immediately see the binary, octal, and hex equivalents. Type a hex value and see the decimal, binary, and octal instantly. There is no button to press, no form to submit — the conversion is truly real-time.

The tool includes quality-of-life features that developers actually need: digit grouping for readability (binary digits grouped in nibbles of 4, hex digits in pairs), optional base prefixes (0b, 0o, 0x) for copy-paste into code, input validation that only allows valid characters for each base, and a quick reference section showing common values like MAX_INT boundaries for 8-bit, 16-bit, 32-bit, and 64-bit integers.

Everything runs locally in your browser with zero dependencies. Whether you are debugging network protocols, setting Unix file permissions, working with color values, analyzing memory addresses, or just doing homework, this is the fastest number base converter you will find. No ads, no signup, no nonsense — just type and convert.

Why use AllKit?

  • No ads, no distractions — a clean interface that lets you focus on the task
  • Privacy-first100% client-side processing, nothing is uploaded
  • Free forever — core tools are free with no usage limits
  • API available — integrate into your workflow via our REST API

How to Use Number Base Converter

  1. Type a number in any of the four input fields: Binary, Octal, Decimal, or Hexadecimal. All other fields update instantly as you type.
  2. For binary input, use only 0 and 1. For octal, use digits 0 through 7. For decimal, use digits 0 through 9. For hexadecimal, use digits 0 through 9 and letters A through F (case-insensitive).
  3. Toggle the Prefix option to show or hide base prefixes (0b for binary, 0o for octal, 0x for hex) in the output. This is useful when copying values directly into source code.
  4. Toggle Digit Grouping to add spaces between digit groups for improved readability. Binary digits are grouped in sets of 4 (nibbles), and hex digits are grouped in pairs (bytes).
  5. Click the Copy button next to any field to copy that representation to your clipboard.
  6. Use the common values reference at the bottom to quickly look up important boundaries like the maximum values for 8-bit (255), 16-bit (65535), and 32-bit (4294967295) integers.
  7. To clear all fields and start over, delete the content from any input field or use the Clear button.

Common Use Cases

Network and IP Address Analysis

Convert IP address octets between decimal and binary to understand subnetting, netmasks, and CIDR notation. Seeing 255.255.255.0 as 11111111.11111111.11111111.00000000 makes subnet boundaries obvious.

Unix File Permissions

Understand and set Unix file permissions by converting between octal (755, 644) and binary representations. Binary shows exactly which read, write, and execute bits are set for owner, group, and others.

Color Value Conversion

Convert hex color codes to decimal RGB values and vice versa. If a designer gives you #FF8040, you can quickly see that is 255, 128, 64 in decimal RGB.

Memory Address Debugging

When debugging at the hardware or systems level, memory addresses are shown in hex. Convert them to decimal for arithmetic or to binary to see individual bit flags and alignment.

Bitwise Operation Visualization

When working with bitwise AND, OR, XOR, and shift operations, converting to binary makes the operations visually obvious. See exactly which bits are set, cleared, or flipped.

Embedded Systems and IoT

Working with registers, GPIO pins, and hardware interfaces often requires thinking in binary and hex simultaneously. This tool lets you see both representations at once.

Computer Science Education

Students learning number systems, binary arithmetic, or computer architecture use base conversion constantly. This tool provides instant feedback for practice and verification.

Technical Details

Conversion uses JavaScript's built-in parseInt() for input parsing and toString() for output formatting, both of which handle arbitrary-precision integers up to Number.MAX_SAFE_INTEGER (2^53 - 1 = 9007199254740991). For most practical use cases, this range is more than sufficient.

Input validation is applied per field in real-time. Binary fields only accept 0 and 1. Octal fields accept 0-7. Decimal fields accept 0-9. Hexadecimal fields accept 0-9 and A-F (case-insensitive). Invalid characters are silently rejected.

Digit grouping uses space separators for universal readability. Binary digits are grouped in nibbles (groups of 4), matching how hardware engineers and protocol specifications typically display binary values. Hex digits are grouped in pairs (bytes), matching the standard representation for memory dumps, MAC addresses, and byte sequences.

The tool handles leading zeros correctly — entering '007' in octal is interpreted as 7, not as an error. Base prefixes (0b, 0o, 0x) in the output are purely visual and match the conventions used in JavaScript, Python, C, and most modern programming languages.

Frequently Asked Questions

What number bases are supported?

The tool supports four number bases: binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). These are the four bases most commonly used in programming and computer science.

What is binary (base 2)?

Binary uses only two digits: 0 and 1. It is the fundamental number system of all digital computers, where each digit (bit) represents an on/off state. Binary is used in low-level programming, hardware design, and network protocols.

What is hexadecimal (base 16)?

Hexadecimal uses 16 digits: 0-9 and A-F (where A=10, B=11, C=12, D=13, E=14, F=15). It is a compact way to represent binary data — each hex digit represents exactly 4 binary digits (one nibble). Hex is used for color codes, memory addresses, and byte values.

What is octal (base 8)?

Octal uses digits 0 through 7. While less common today, it is still widely used for Unix file permissions (chmod 755) and in some legacy systems. Each octal digit represents exactly 3 binary digits.

What is the maximum number I can convert?

The tool accurately converts numbers up to JavaScript's MAX_SAFE_INTEGER: 9,007,199,254,740,991 (2^53 - 1). This is a 53-bit number, sufficient for virtually all practical use cases including 32-bit and most 64-bit values.

Can I enter negative numbers?

The current version works with non-negative integers. For negative numbers in two's complement representation, you can manually calculate the complement or use the binary representation of the unsigned equivalent.

What do the prefixes (0b, 0o, 0x) mean?

These are standard programming prefixes: 0b indicates binary (0b1010 = 10 in decimal), 0o indicates octal (0o12 = 10), and 0x indicates hexadecimal (0xA = 10). Most programming languages including JavaScript, Python, C, Java, and Rust recognize these prefixes.

Is my data stored or sent anywhere?

No. All conversion happens in your browser using JavaScript. No data is transmitted to any server. The tool works completely offline.

Why are binary digits grouped in fours?

Grouping binary digits in nibbles (groups of 4) aligns with hexadecimal digits — each nibble maps to exactly one hex digit. This makes it easy to mentally convert between binary and hex: 1010 0011 = A3 in hex.

How do I convert IP addresses?

IP addresses use decimal octets (e.g., 192.168.1.1). Convert each octet individually: type 192 in the decimal field to see its binary (11000000) and hex (C0) equivalents. For subnet calculations, the binary representation is most useful.

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