Hexadecimal to Binary Converter [2025]

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Convert hexadecimal (base-16) to binary (base-2) numbers with step-by-step explanations. Essential for digital system design and memory analysis.

✓ Direct Conversion✓ Batch Processing✓ Grouped Output

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

Key Features

  • Convert hexadecimal numbers directly to binary format.
  • Process multiple values simultaneously with batch conversion.
  • Customizable bit length (8, 16, 32, or 64 bits).
  • Optional zero padding for consistent output width.
  • Binary output grouped in sets of 4 bits for readability.
  • Case-insensitive hexadecimal input support.
  • Copy functionality for individual and batch results.
  • Detailed step-by-step conversion display.

Common Use Cases

Digital Design

  • • Memory analysis
  • • Register values
  • • Hardware design
  • • Logic operations

Development

  • • Debugging output
  • • Binary data
  • • Memory dumps
  • • Bit manipulation

Education

  • • Number systems
  • • Base conversion
  • • Digital concepts
  • • Binary operations

Frequently Asked Questions

How does the conversion work?

Each hexadecimal digit represents exactly four binary digits (bits). The conversion is done by replacing each hex digit with its 4-bit binary equivalent. For example, hex digit 'F' becomes '1111', 'A' becomes '1010', and so on. This direct relationship between hex and binary makes conversion straightforward and reliable.

Why are bits grouped in sets of 4?

Binary digits are grouped in sets of 4 for easier reading and verification, as each group corresponds to exactly one hexadecimal digit. This grouping makes it simpler to spot errors and understand the relationship between the hexadecimal input and binary output.

What are the bit length options for?

Different bit lengths accommodate common data sizes in computing: 8 bits for a byte, 16 bits for a word, 32 bits for a double word, and 64 bits for a quad word. Choosing the appropriate bit length ensures your output matches system requirements and maintains consistent data width.

Is the input case-sensitive?

No, the converter accepts hexadecimal input in both upper and lower case (A-F or a-f). For consistency, all hexadecimal output is displayed in uppercase. This flexibility makes it easier to work with hex values from different sources while maintaining standardized output.

Technical Details

Hexadecimal to Binary Mapping

Each hexadecimal digit maps to four binary bits:

Digits 0-3:

  • 0 = 0000
  • 1 = 0001
  • 2 = 0010
  • 3 = 0011

Digits 4-7:

  • 4 = 0100
  • 5 = 0101
  • 6 = 0110
  • 7 = 0111

Digits 8-B:

  • 8 = 1000
  • 9 = 1001
  • A = 1010
  • B = 1011

Digits C-F:

  • C = 1100
  • D = 1101
  • E = 1110
  • F = 1111

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