Octal to Hexadecimal Converter [2025]

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Convert octal (base-8) to hexadecimal (base-16) numbers with intermediate binary representation and step-by-step explanations. Perfect for digital system design and data analysis.

✓ Multi-Step Process✓ Batch Conversion✓ Binary Intermediate

Enter multiple octal numbers separated by spaces, commas, or new lines

Key Features

  • Convert octal numbers to hexadecimal through binary intermediate representation.
  • Process multiple values simultaneously with batch conversion.
  • Customizable bit length (24, 48, or 72 bits) for different applications.
  • Optional zero padding for consistent output format.
  • Detailed step-by-step conversion breakdown.
  • View intermediate binary representation.
  • Copy functionality for individual and batch results.
  • Comprehensive error checking and validation.

Common Use Cases

System Development

  • • Memory dumps
  • • Address conversion
  • • Data formatting
  • • System debugging

Data Analysis

  • • File formats
  • • Data verification
  • • Protocol analysis
  • • Binary logging

Education

  • • Number systems
  • • Base conversion
  • • Digital concepts
  • • Computer science

Frequently Asked Questions

How does the conversion process work?

The conversion happens in two steps: first, each octal digit is converted to its 3-bit binary equivalent. Then, the binary number is grouped into sets of 4 bits, with each group converted to its corresponding hexadecimal digit (0-9, A-F). This two-step process ensures accurate conversion between the different number bases.

Why convert through binary?

Converting through binary provides a reliable method for handling different number bases. Since octal uses 3 bits per digit and hexadecimal uses 4 bits per digit, converting through binary ensures accurate digit grouping and makes the process more straightforward to understand and verify.

What are the bit length options for?

The bit length options (24, 48, 72) are chosen to be multiples of both 3 and 4, ensuring clean conversion between octal (3 bits per digit) and hexadecimal (4 bits per digit). This helps maintain data alignment and makes the conversion process more accurate.

When would I need this conversion?

This conversion is commonly needed when working with different system representations, such as converting between Unix file permissions (octal) and memory dumps (hexadecimal). It's also useful in digital design, system debugging, and educational contexts where different number bases are used.

Technical Details

Understanding the Conversion Process

The conversion follows these steps:

  1. Octal to Binary Conversion:
    • Each octal digit converts to 3 binary bits
    • 0₈ = 000₂, 1₈ = 001₂, up to 7₈ = 111₂
    • Concatenate all binary groups
  2. Binary to Hexadecimal Conversion:
    • Group binary digits into sets of 4
    • Convert each group to hex (0-F)
    • Concatenate hex digits

Example conversion of octal 17:

  • Octal: 17₈
  • Binary: 001 111₂
  • Grouped: 0001 1111₂
  • Hex: 1F₁₆

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