ewory.com logo

Binary Translator

Choose a direction (Text โ†’ Binary or Binary โ†’ Text), then type or paste your input. Results update instantly showing binary, hex, octal, and decimal representations.


Binary
01001000 01100101 01101100 01101100 01101111 00100000 01010111 01101111 01110010 01101100 01100100 00100001
Hexadecimal
48 65 6C 6C 6F 20 57 6F 72 6C 64 21
Octal
110 145 154 154 157 040 127 157 162 154 144 041
Decimal
72 101 108 108 111 32 87 111 114 108 100 33

How the Binary Translator Works

The binary translator converts text into its binary representation and vice versa. Every character you type on a keyboard has a corresponding numeric value defined by encoding standards like ASCII and UTF-8. This tool encodes each character into its 8-bit binary equivalent, and also shows the hexadecimal, octal, and decimal representations simultaneously.

When converting text to binary, each character is mapped to its Unicode code point, then expressed as a sequence of 8-bit binary digits (0s and 1s). For example, the letter "A" has an ASCII value of 65, which is 01000001 in binary.

When converting binary to text, the tool reads groups of 8 binary digits, interprets each group as a byte value, and maps it back to the corresponding character.

Formula: Character โ†’ ASCII/UTF-8 code point โ†’ Binary (base 2), Hex (base 16), Octal (base 8), Decimal (base 10)

Worked Example

Let's convert the word "Hi" to binary:

  1. H โ†’ ASCII code 72 โ†’ Binary: 01001000 โ†’ Hex: 48 โ†’ Octal: 110 โ†’ Decimal: 72
  2. i โ†’ ASCII code 105 โ†’ Binary: 01101001 โ†’ Hex: 69 โ†’ Octal: 151 โ†’ Decimal: 105

Result: 01001000 01101001

To reverse the process, split the binary string into 8-bit chunks, convert each to decimal, and look up the character.

ASCII Reference Table

CharDecBinaryHex
A650100000141
B660100001042
C670100001143
a970110000161
b980110001062
0480011000030
1490011000131
Space320010000020
!330010000121
@640100000040

Understanding Number Bases

Computers operate in binary (base 2) because transistors have two states โ€” on and off. However, programmers commonly use other bases for convenience:

  • Binary (Base 2): Uses digits 0 and 1. Each digit is called a "bit." Eight bits make one byte.
  • Hexadecimal (Base 16): Uses 0โ€“9 and Aโ€“F. Compact way to represent binary โ€” each hex digit equals exactly 4 bits.
  • Octal (Base 8): Uses digits 0โ€“7. Historically popular in Unix file permissions (e.g., chmod 755).
  • Decimal (Base 10): The standard number system humans use daily.

Common Uses for Binary Translation

  • Programming and debugging: Inspect how text is stored at the byte level.
  • Networking: Analyze packet data, IP addresses, and subnet masks in binary.
  • Education: Learn about character encodings, ASCII, and how computers represent text.
  • Cryptography: Understand bitwise operations used in encryption algorithms.
  • Data encoding: Work with base64, URL encoding, and other formats that stem from binary data.

Tips for Using the Binary Translator

  • Separate binary digits with spaces for readability โ€” the tool handles both spaced and unspaced input.
  • Binary input must be in multiples of 8 bits to produce valid characters.
  • This tool uses UTF-8 encoding, which is backward-compatible with ASCII for standard English characters.
  • Use the hex output for a more compact representation โ€” each pair of hex digits represents one byte.

Frequently Asked Questions

What is binary code?

Binary code is a system that uses only two digits โ€” 0 and 1 โ€” to represent data. Every piece of text, image, or program on your computer is ultimately stored as a sequence of binary digits (bits). Each group of 8 bits forms a byte, which can represent values from 0 to 255.

How do I convert text to binary by hand?

Look up each character's ASCII code (e.g., 'A' = 65), then convert that number to base 2 by repeatedly dividing by 2 and recording the remainders. Pad the result to 8 digits. For 'A': 65 in binary is 01000001.

What is the difference between ASCII and UTF-8?

ASCII defines 128 characters (0โ€“127) using 7 bits. UTF-8 is a superset that encodes over 1 million characters using 1โ€“4 bytes. For standard English letters and symbols, ASCII and UTF-8 produce the same binary output.

Why is hexadecimal used instead of binary?

Hexadecimal is more compact โ€” one hex digit represents exactly 4 binary digits. This makes it much easier to read and write long binary sequences. For example, the binary byte 11111111 is simply 'FF' in hex.

Can this tool translate emojis and special characters?

Yes, the tool uses UTF-8 encoding which supports emojis and characters from all languages. Multi-byte characters (like emojis) will produce more than 8 binary digits since they require 2โ€“4 bytes in UTF-8.

Sources