Core Conversion Engine Live.
Binary Converter
Free online binary converter to convert binary, decimal, octal, hexadecimal, and ASCII text instantly. Features step-by-step mathematical derivations, signed Two's Complement calculations, and 8/16/32-bit register padding.
Number Converter
Universal Bit Converter & Calculator Dashboard
Real-time multi-base number calculation matrix with step-by-step math and ASCII support.
Multi-Base Conversion Dashboard
Type in any input to instantly convert across bases, signed binary, floats, and ASCII text.
Instant Test Pills::
Universal Bit Converter & Number Translation Matrix
Quick lookup table showing direct binary bit arrangements, hex representation, decimal integer, octal, and mapped ASCII character codes.
| Binary (Base 2) | Hex (Base 16) | Decimal (Base 10) | Octal (Base 8) | ASCII Character |
|---|---|---|---|---|
| 0000 0000 | 0x00 | 0 | 0 | NUL (Null) |
| 0000 1101 | 0x0D | 13 | 15 | CR (Carriage Return) |
| 0010 0000 | 0x20 | 32 | 40 | Space (' ') |
| 0100 0001 | 0x41 | 65 | 101 | Letter 'A' |
| 1111 1111 | 0xFF | 255 | 377 | Max 8-bit Integer (255) |
Multipage Silos
Base Conversion Guides.
Dedicated calculation pages featuring custom prefill triggers, mathematical details, and code routines.
10
Decimal (Base 10)
16
Hexadecimal (Base 16)
08
Octal (Base 8)
Aa
ASCII / String
Interactive Lookup
ASCII Reference.
Find matching character strings, decimals, hexadecimal codes, and binary values instantly. Use search to filter.
| Dec | Hex | Binary | Char | Description |
|---|---|---|---|---|
| 0 | 00 | 00000000 | Control | NUL (Null) |
| 1 | 01 | 00000001 | Control | SOH |
| 2 | 02 | 00000010 | Control | STX |
| 3 | 03 | 00000011 | Control | ETX |
| 4 | 04 | 00000100 | Control | EOT |
| 5 | 05 | 00000101 | Control | ENQ |
| 6 | 06 | 00000110 | Control | ACK |
| 7 | 07 | 00000111 | Control | BEL (Bell) |
| 8 | 08 | 00001000 | Control | BS (Backspace) |
| 9 | 09 | 00001001 | Control | HT (Tab) |
| 10 | 0A | 00001010 | Control | LF (Line Feed) |
| 11 | 0B | 00001011 | Control | VT (Vertical Tab) |
| 12 | 0C | 00001100 | Control | FF (Form Feed) |
| 13 | 0D | 00001101 | Control | CR (Carriage Return) |
| 14 | 0E | 00001110 | Control | SO |
| 15 | 0F | 00001111 | Control | SI |
| 16 | 10 | 00010000 | Control | DLE |
| 17 | 11 | 00010001 | Control | DC1 |
| 18 | 12 | 00010010 | Control | DC2 |
| 19 | 13 | 00010011 | Control | DC3 |
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 numeral system that represents numerical values using only two digits: 0 and 1. Each digit is referred to as a bit, with leftmost bits carrying the highest positional weight in computing architectures.
How do you convert numbers between bases using a universal bit converter?
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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 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 number to binary, find the binary representation of the absolute value, invert all bits (complement), and add 1 to the least significant bit.
Why does this website not trigger keyboard zoom on iPhones?
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iOS Safari automatically zooms and pans into input text fields if their font size is smaller than 16px. We optimize our mobile UI layouts by enforcing input font sizes to be exactly 16px on mobile viewports, scaling them smoothly on desktop screens using responsive CSS selectors.
What is a universal bit converter and binair converter?
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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?
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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?
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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?
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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?
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Hex 0x20 converts to binary 00100000 (decimal 32). In the ASCII character table, 0x20 represents the Space character.
What is 0x50 in binary?
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Hex 0x50 converts to binary 01010000 (decimal 80). In ASCII text encoding, 0x50 represents the uppercase letter 'P'.
What is FE in binary?
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Hexadecimal FE converts to binary 11111110 (decimal 254). In 4-bit nibble expansion: F = 1111 and E = 1110.