Binary Converter

Convert between binary, decimal, hex and ASCII

Binary Converter Tool

Convert between binary, decimal, hexadecimal, and ASCII/text formats

Popular Conversions:
Conversion Details
Conversion Results
Enter a value and click Convert to see results
Bit Information
Enter a value to see bit information
Additional Conversions
Common Binary Conversion Examples
Conversion Type Example Result
Binary to Base 10 10110 22
Convert Binary to Decimal 11010 26
Binary Octal Conversion 101010 52 (octal)
Python Binary Conversion bin(42) 0b101010
Integer to Binary 15 1111
Binary to ASCII 01001000 01101001 Hi
How to use this tool

Free Online Binary Converter Tool

Our binary converter tool enables you to easily convert between binary, decimal, hexadecimal, and ASCII/text formats. Whether you need to convert binary to decimal, binary to text, or perform any other number base conversion, this versatile utility handles all your conversion needs instantly.

How to Use the Binary Converter

  1. Enter a value in any of the input fields (Binary, Decimal, Hexadecimal, or ASCII/Text).
  2. Click the "Validate" button next to your input to verify if it's a valid value for that format.
  3. Click the "Convert" button to transform your input to all other formats.
  4. View the conversion results and bit information in the results section below.
  5. Use the "Reset" button to clear all fields and start over.
  6. Try the quick conversion buttons at the top for popular conversions like binary to text or decimal to binary.

Popular Binary Conversions

Binary to Other Formats

  • Binary to Decimal (Base 10) - Convert binary numbers to standard decimal format
  • Binary to Text - Convert binary code into readable ASCII text
  • Binary to Octal - Convert binary to base-8 octal numbers
  • Binary to Base 10 - Convert binary numbers to decimal integers
  • Binary to Hexadecimal - Convert binary to base-16 hex format

Other Formats to Binary

  • Decimal to Binary - Convert base-10 numbers to binary
  • Text to Binary - Convert ASCII text to binary representation
  • Integer to Binary - Convert whole numbers to binary format
  • Hexadecimal to Binary - Convert hex values to binary code
  • UUID to Binary - Convert unique identifiers to binary format

Supported Number Systems

  • Binary (Base 2): Numbers consisting only of 0s and 1s. Example: 10101010
  • Decimal (Base 10): Standard base-10 numbers using digits 0-9. Example: 170
  • Hexadecimal (Base 16): Base-16 numbers using digits 0-9 and letters A-F. Example: AA
  • Octal (Base 8): Base-8 numbers using digits 0-7. Example: 252
  • ASCII/Text: Text characters that will be converted to their numerical representations. Example: Hello

Python Binary Conversion Examples

Converting Between Binary and Decimal in Python

# Convert decimal to binary
num = 42
binary_str = bin(num)  # Result: '0b101010'

# Remove '0b' prefix if needed
binary_without_prefix = bin(num)[2:]  # Result: '101010'

# Convert binary to decimal
binary_num = '101010'
decimal_value = int(binary_num, 2)  # Result: 42

# Convert binary string with spaces
binary_with_spaces = '1010 1010'
decimal_value = int(binary_with_spaces.replace(' ', ''), 2)  # Result: 170

Binary to Decimal Conversion Chart

Binary Decimal Binary Decimal
0000 0 1000 8
0001 1 1001 9
0010 2 1010 10
0011 3 1011 11
0100 4 1100 12
0101 5 1101 13
0110 6 1110 14
0111 7 1111 15

Special Binary Conversions

Convert Binary to Base 10

To convert binary to base 10 (decimal), each binary digit position represents a power of 2:

  • Binary 1010 = 1×23 + 0×22 + 1×21 + 0×20
  • = 8 + 0 + 2 + 0 = 10 in decimal

Our converter handles this calculation automatically for any binary number.

Convert Binary to Text

Converting binary to text requires grouping binary digits into 8-bit chunks (bytes), then translating each byte to its ASCII character:

  • Binary 01001000 01101001
  • = ASCII 72 and 105
  • = Characters 'H' and 'i'
  • = Text: Hi

Our tool automatically handles spacing and conversion between binary and text.

Binary to Octal Converter

To convert binary to octal (base-8):

  1. Group binary digits into sets of 3 from right to left
  2. Convert each 3-digit group to its octal equivalent
  3. Example: 101010101 0105 2 → octal 52

Our binary to octal converter handles this process automatically.

Python Convert int to Binary

In Python, there are built-in functions for converting between integers and binary:

# Integer to binary
number = 42
binary_result = bin(number)  # '0b101010'

# Binary to int
binary_str = '101010'
int_result = int(binary_str, 2)  # 42

Our tool provides similar functionality through an easy-to-use web interface.

Additional Binary Converter Features

  • Bit Information: See detailed information about the binary representation including bit count, byte count, and special properties.
  • Base64 Encoding: View your input encoded in Base64 format.
  • URL Encoding: See your input in URL-encoded format.
  • Copy Buttons: Easily copy results to clipboard using the copy buttons.
  • Instant Conversion: See results update in real-time as you type (for valid inputs).
  • Signed Representation: View signed integer representations for smaller binary values.

Common Uses for Binary Conversion

  • Computer programming and debugging binary data
  • Working with memory addresses and hardware registers
  • Data encoding and encryption processes
  • Network protocol analysis and development
  • Computer science education and learning number systems
  • Converting between text and binary for various applications
  • Working with binary search trees and algorithms
  • Embedded systems programming and debugging

FAQs About Binary Conversion

To convert binary to decimal manually, multiply each digit by the corresponding power of 2 and sum the results. For example, binary 1010 = (1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰) = 8 + 0 + 2 + 0 = 10 in decimal. Our binary converter does this calculation automatically.

To convert text to binary, each character is converted to its ASCII code, then to an 8-bit binary representation. For example, the letter 'A' has ASCII code 65, which in binary is 01000001. Our converter automatically converts each character in your text to its binary representation.

In Python, you can convert binary to decimal (base 10) using the int() function with base 2: int('1010', 2) returns 10. For more complex conversion needs, use our online binary converter for a more visual approach.

Binary (base 2) uses only 0 and 1. Octal (base 8) uses digits 0-7. Hexadecimal (base 16) uses digits 0-9 and letters A-F. All represent the same numbers in different number systems. For example, decimal 42 is binary 101010, octal 52, and hexadecimal 2A. Our converter supports all these formats.

To convert a binary search tree to a sorted list, you need to perform an in-order traversal of the tree. This visits the left subtree, then the root, then the right subtree recursively, automatically producing values in sorted order. For programming implementations, consider using our binary converter for testing and validation.