All tools Number Base Converter ● Live Data Tools

How Number Base Converter works

  1. Enter a number into any one of the four fields: Decimal, Binary, Octal, or Hexadecimal.
  2. Watch the other three fields update automatically to show the equivalent value.
  3. Check for a red error message if you type a character invalid for that base (e.g. '9' in a binary field).
  4. Review the 32-bit binary representation panel for a nibble-grouped bit-level view of the decimal value.
  5. Edit any field again at any time — all conversions recalculate immediately.
  • Convert a decimal byte value to hexadecimal for a color code, memory address, or debug log.
  • Translate a binary string from a networking or embedded systems assignment into decimal.
  • Check the octal value of a Unix file permission setting like 755 or 644.
  • Verify a hex literal in source code by seeing its exact decimal and binary equivalents.
  • Teach students how the same value looks across different number bases side by side.

All conversions happen locally in your browser using JavaScript's built-in number parsing. No data is sent to a server.

  • Supports non-negative integers only — no negative numbers or two's complement representation.
  • Safely handles integers up to 2^53 - 1; the 32-bit binary panel specifically only represents values up to 4,294,967,295 correctly.
  • No support for fractional (non-integer) values in any base.

Number Base Converter

Number Base Converter keeps decimal, binary, octal, and hexadecimal representations synchronized. Edit any of the four fields and the other three update immediately. Includes a 32-bit binary representation with nibble spacing for readability.

Number Base Converter Runs locally

Number Base Converter

Edit any field — the others update automatically.

32-bit binary representation

0000 0000 0000 0000 0000 0000 0010 1010
Guide

How to use

  1. Enter a number into any one of the four fields: Decimal, Binary, Octal, or Hexadecimal.

  2. Watch the other three fields update automatically to show the equivalent value.

  3. Check for a red error message if you type a character invalid for that base (e.g. '9' in a binary field).

  4. Review the 32-bit binary representation panel for a nibble-grouped bit-level view of the decimal value.

  5. Edit any field again at any time — all conversions recalculate immediately.

Scenarios

Use cases

  • Convert a decimal byte value to hexadecimal for a color code, memory address, or debug log.

  • Translate a binary string from a networking or embedded systems assignment into decimal.

  • Check the octal value of a Unix file permission setting like 755 or 644.

  • Verify a hex literal in source code by seeing its exact decimal and binary equivalents.

  • Teach students how the same value looks across different number bases side by side.

Good to know

Limitations & Privacy

Private by design

All conversions happen locally in your browser using JavaScript's built-in number parsing. No data is sent to a server.

  • Supports non-negative integers only — no negative numbers or two's complement representation.

  • Safely handles integers up to 2^53 - 1; the 32-bit binary panel specifically only represents values up to 4,294,967,295 correctly.

  • No support for fractional (non-integer) values in any base.

FAQ

Frequently asked questions

What is the maximum number supported?

The tool uses JavaScript's standard number type, which safely represents integers up to 2^53 - 1 (about 9 quadrillion). For the 32-bit binary display specifically, values are treated as unsigned 32-bit integers, so numbers above 4,294,967,295 won't display correctly in that panel even though the main fields still convert them.

Can I enter negative numbers?

Currently the tool supports non-negative integers only. Negative number representation (two's complement) is not yet supported — entering a minus sign will not produce a valid conversion.

Why does the field show a red border sometimes?

Each base validates its own character set as you type: binary only accepts 0 and 1, octal only accepts 0-7, and hex only accepts 0-9 and A-F. An invalid character for that base triggers a validation error message instead of updating the other fields.

What is the 32-bit binary representation for?

It shows the decimal value as a full 32-bit binary string, grouped into 4-bit nibbles for readability. This is useful for understanding how a number is represented at the bit level, such as when working with bitwise operations or low-level protocols.

Can I edit any of the four fields, or just decimal?

You can edit any of the four fields — decimal, binary, octal, or hexadecimal — and the other three update automatically to match.

Does hex input need a '0x' prefix?

No — enter hex digits directly (e.g. 2A, not 0x2A). The tool treats the entire field as hex digits without requiring or accepting a prefix.

What are common uses for octal in programming today?

Octal is less common in modern code but still appears in Unix/Linux file permission notation (e.g. chmod 755) and some legacy systems, which is why it's included alongside the more commonly used binary and hex.