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Hexadecimal to Decimal Converter [2025]
Convert hexadecimal (base-16) to decimal (base-10) numbers with step-by-step explanations. Perfect for programmers and digital system designers.
Enter multiple hexadecimal numbers separated by spaces, commas, or new lines
Key Features
- Convert hexadecimal numbers to decimal using position-based calculation.
- Process multiple values simultaneously with batch conversion.
- Support for large numbers using BigInt functionality.
- Customizable bit length (8, 16, 32, or 64 bits).
- Optional zero padding for consistent hex formats.
- Case-insensitive hexadecimal input support.
- Copy functionality for individual and batch results.
- Detailed step-by-step conversion breakdown.
Common Use Cases
Programming
- • Memory addresses
- • Color codes
- • Debug values
- • Byte analysis
System Analysis
- • Memory dumps
- • Hardware logs
- • Error codes
- • Status registers
Education
- • Number systems
- • Base conversion
- • Digital concepts
- • Computer math
Frequently Asked Questions
How does the conversion work?
Each hexadecimal digit is multiplied by a power of 16 based on its position. For example, in the hex number 1F (31 in decimal), F (15) is multiplied by 16⁰ (1) and 1 is multiplied by 16¹ (16). Adding these together (15 × 1 + 1 × 16) gives the decimal value 31.
Why use different bit lengths?
Different bit lengths correspond to common data sizes in computing: 8 bits for bytes, 16 bits for words, 32 bits for double words, and 64 bits for quad words. Selecting the appropriate bit length ensures your conversion matches system requirements and helps catch potential overflow issues.
What are the hex digits A-F?
Since hexadecimal is base-16, it needs 16 different digits (0-15). The digits A-F represent the decimal values 10-15 respectively. This allows each hex digit to represent four binary digits (bits) exactly, making it very useful in computing and digital systems.
Why convert hex to decimal?
While hexadecimal is convenient for representing binary data compactly, decimal numbers are more intuitive for human understanding and calculation. Converting to decimal is often necessary when analyzing memory addresses, color values, or other data represented in hexadecimal format.
Technical Details
Hexadecimal Number System
The hexadecimal system uses 16 digits:
Decimal to Hex Mapping:
- 0-9 remain the same
- 10 = A
- 11 = B
- 12 = C
- 13 = D
- 14 = E
- 15 = F
Position Values:
- 16⁰ = 1
- 16¹ = 16
- 16² = 256
- 16³ = 4,096
- 16⁴ = 65,536
- And so on...
Example conversion of hex FF:
- F in position 1: 15 × 16¹ = 240
- F in position 0: 15 × 16⁰ = 15
- Total: 240 + 15 = 255
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