How do you convert numbers between bases using a universal bit converter?

To convert to decimal, write down each digit multiplied by its positional weight (the base raised to its position index) and sum the total terms. To convert from decimal, use the repeated division method where you divide by the destination base, log remainders from right to left, and concatenate the result.

What is a universal bit converter and binair converter?

A universal bit converter (known as a binair converter in Dutch and European computing terminology) translates numerical strings between base-2 (binary), base-8 (octal), base-10 (decimal), and base-16 (hexadecimal). It also supports text character encoding translations (ASCII) and two's complement signed integer arithmetic.

What is binaryconverter.fun?

BinaryConverter.fun is a free online binary converter tool that supports real-time conversion between binary, decimal, octal, hexadecimal, and ASCII number systems. It provides step-by-step mathematical explanations, signed two's complement conversions, reference tables, cheat sheets, and practice quizzes.

How do you convert hex to binary?

To convert hex to binary, replace each hexadecimal digit with its 4-bit binary equivalent. For example, hex A = 1010, hex F = 1111, hex 2 = 0010. So hex 2AF = 0010 1010 1111 in binary. This works because 16 = 2⁴, making each hex digit map exactly to one 4-bit nibble.

How do you convert octal to binary?

To convert octal to binary, replace each octal digit with its 3-bit binary equivalent. For example, octal 7 = 111, octal 5 = 101, octal 3 = 011. So octal 753 = 111 101 011 in binary. This works because 8 = 2³, so each octal digit maps exactly to three binary bits.

What is 0x20 to binary?

Hex 0x20 converts to binary 00100000 (decimal 32). In the ASCII character table, 0x20 represents the Space character.

What is 0x50 in binary?

Hex 0x50 converts to binary 01010000 (decimal 80). In ASCII text encoding, 0x50 represents the uppercase letter 'P'.

What is FE in binary?

Hexadecimal FE converts to binary 11111110 (decimal 254). In 4-bit nibble expansion: F = 1111 and E = 1110.

Core Conversion Engine Live.

Binary Converter — Hex, Decimal, Octal & ASCII.

An interactive universal bit converter and base conversion matrix to convert binary, decimal, octal, hexadecimal, and ASCII character encoding strings instantly. Known across Europe as a high-precision binair converter, our free binaryconverter calculates leftmost bit positional weights, double precision floats, and signed two's complement integers with step-by-step mathematical explanations.

Open Converter Matrix View Cheat Sheets Take Quizzes

Number Converter

Instant Conversion Matrix.

Enter any base value to calculate all corresponding systems instantly.

Multi-Base Conversion Dashboard

Type in any input to instantly convert across bases, signed binary, floats, and ASCII text.

Padding:

Hex Case:

Signed 8-bit

Instant Test Pills:

Binary (Base 2)

ASCII Text (String)

Decimal (Base 10)

Octal (Base 8)

Hexadecimal (Base 16)

Mathematical Breakdown Step-by-Step

Enter a value above to view conversion steps.

Universal Bit Converter & Number Translation Matrix

Below is a universal lookup table answering top search queries like binary converter online, binair converter (Dutch), bit converter, and base 2 binary converter. Click any row to test the conversion.

Binary (Base 2)	Hexadecimal (Base 16)	Decimal (Base 10)	Octal (Base 8)	ASCII / Meaning
0000 0000	0x00	0	0	NUL (Null byte)
0000 1000	0x08	8	10	BS (Backspace)
0000 1101	0x0D	13	15	CR (Carriage Return)
0000 1111	0x0F	15	17	SI (Shift In / Hex 0x0F)
0001 0100	0x14	20	24	DC4 (Hex 0x14 in binary)
0010 0000	0x20	32	40	SP (Space character)
0100 0001	0x41	65	101	'A' (Uppercase letter)
0101 0000	0x50	80	120	'P' (Hex 0x50 in binary)
1111 1110	0xFE	254	376	Hex FE in binary (254)
1111 1111	0xFF	255	377	Max 8-bit unsigned byte

Multipage Silos

Base Conversion Guides.

Dedicated calculation pages featuring custom prefill triggers, mathematical details, and code routines.

Binary (Base 2)

Decimal (Base 10)

Hexadecimal (Base 16)

Octal (Base 8)

ASCII / String

Interactive Lookup

ASCII Reference.

Find matching character strings, decimals, hexadecimal codes, and binary values instantly. Use the search input to filter the indices in real-time.

Dec	Hex	Binary	Char	Description

Updates & Commits

Git-Style Changelog.

Review the developer timeline of updates, float additions, and UI optimizations.

2026-06-06

feat: signed 8-bit registers

Introduced signed binary to decimal calculations using Two's Complement representation in standard registers.

2026-06-06

feat: URL-based prefill params

Enabled prefilling inputs using search parameters (`?input=X&base=Y`) to allow instant code shareability.

2026-06-05

feat: float conversion steps

Added mathematical derivations for fractional values using standard conversion weight products.

2026-06-05

docs: CS quizzes & cheat sheets

Published CS Practice Quizzes and Cheat Sheets study guides for exam and review reference.

Comment Board

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Common Questions

Frequently Asked Questions.

Frequently asked questions about number systems, conversion formulas, and site operations.

What is a binary number system?

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The binary number system is a base-2 system that represents numerical values using only two digits: 0 and 1. It forms the standard physical architecture of modern computing devices because transistor gates represent two logical states (on and off).

How do you convert numbers between bases?

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To convert to decimal, write down the digits with their positional weights (base raised to positions) and sum the terms. To convert from decimal, use the repeated division method where you divide by the destination base, log remainders from bottom to top, and write down the result.

What is Two's Complement signed binary?

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Two's Complement is a mathematical convention to represent signed negative integers in binary. To convert a negative decimal to binary, find the binary representation of the absolute value, invert all bits (complement), and add 1.

Why does this website not trigger keyboard zoom on iPhones?

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iOS Safari automatically zooms/pans into input text fields if their font size is smaller than 16px. We optimize our UI layouts by enforcing input font sizes to be exactly 16px on mobile viewports, while scaling them down on desktop screens using responsive CSS selectors.

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