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Hexadecimal Converter (Hex to Decimal & Binary)

Convert numbers seamlessly between hexadecimal (base 16), decimal (base 10), and binary formats.

Formula & Mathematical Methodology

Hexadecimal Base-16 Translation

Translates hexadecimal characters (where A=10, B=11, C=12, D=13, E=14, F=15) into positional powers of 16.

How to Use This Hexadecimal Converter (Hex to Decimal & Binary)

  1. Enter a hexadecimal value.

Step-by-Step Worked Example

Scenario: Convert 4A₁₆

1. 4 × 16¹ = 64
2. A (10) × 16⁰ = 10
3. Decimal: 64 + 10 = 74
4. Binary equivalent: 0100 1010₂
Final Calculated Result: 74 Decimal (01001010₂ Binary)

What Does Your Result Mean?

Standard representation for web color hex codes, memory addresses, and byte dumps.

Common Practical Applications:

  • CSS web design color codes
  • Memory dump debugging
  • IPv6 address parsing

Important Limitations & Assumptions:

  • Supports valid hexadecimal characters (0-9, A-F).

Frequently Asked Questions

Why do programmers use hexadecimal?

Hexadecimal is much more compact than binary. Exactly two hex digits represent one full byte (8 bits).