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HomeToolsNumber Base Converter

Number Base Converter

Convert between decimal, binary, octal, and hexadecimal. View signed/unsigned integer representations.

Client-side only
Bits Required
8
ASCII Character
N/A
Hex Prefix
0xFF
Integer Representations
Type
Signed
Unsigned
8-bit
-1
255
16-bit
255
255
32-bit
255
255

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How to Use the Number Base Converter

This free online number base converter transforms numbers between decimal (base 10), binary (base 2), octal (base 8), and hexadecimal (base 16) instantly in your browser. It also displays signed and unsigned integer representations for 8-bit, 16-bit, and 32-bit widths, the ASCII character, and the total bit count — everything a developer needs when working with low-level data.

Step-by-Step

1. **Enter a number** in any supported base — decimal, binary, octal, or hexadecimal.

2. **Select the input base** if it isn't auto-detected.

  • View all conversions — The tool instantly shows the number in all four bases, plus signed/unsigned integer representations, ASCII character, and bit count.
  • Copy any value — Click Copy next to any output to grab it for use in your code.
  • Features

  • Four-base conversion — Decimal, binary, octal, and hexadecimal displayed simultaneously.
  • Signed/unsigned views — See the number as signed and unsigned 8-bit, 16-bit, and 32-bit integers to understand overflow and two's complement behavior.
  • ASCII character — Shows the ASCII character for values 0–127, useful for debugging character encoding issues.
  • Bit count — Displays the minimum number of bits required to represent the value.
  • Grouped binary — Binary output is grouped into 4-bit or 8-bit nibbles for readability (1010 0011 instead of 10100011).
  • Real-time conversion — Results update instantly as you type.
  • Client-side processing — All math runs in your browser using JavaScript's parseInt and toString methods.
  • Common Use Cases

  • Embedded Systems Development — Convert between hex register values, binary bit masks, and decimal constants when programming microcontrollers, FPGAs, or device drivers.
  • Network Programming — Convert IP address octets, subnet masks, and port numbers between decimal and hexadecimal for packet analysis with tools like Wireshark.
  • Color Code Conversion — Convert hex color values (#FF5733) to RGB decimal components and vice versa for CSS and design work.
  • Permission and Flag Debugging — Unix file permissions (755 = 111 101 101 binary), bitwise flags, and feature toggles are easier to understand in binary.
  • Assembly and Low-Level Debugging — Debuggers show memory addresses and values in hex. Convert to decimal or binary to understand instruction opcodes and data layouts.
  • Tips for Power Users

    - Use the signed/unsigned views to understand two's complement representation. The same bit pattern 11111111 is 255 unsigned but -1 signed (8-bit).

    - Prefix binary with 0b, hex with 0x, and octal with 0o in most programming languages.

    - Remember: hex F = binary 1111 = decimal 15. Each hex digit maps to exactly 4 binary bits.

    - For bitwise operations, convert both operands to binary, perform the operation visually, then convert the result back.

    - Use this alongside the Color Converter when debugging hex color values that need individual R, G, B components.

    Why Use This Tool?

    This number base converter runs entirely in your browser — no server calls, no tracking, no data collection. It gives you all four base representations plus integer width analysis in a single view, which is faster than switching between parseInt calls in a console. Perfect for embedded developers, systems programmers, and anyone working with binary data.

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