Hex to Decimal Converter

Convert hex ↔ decimal numbers

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About Hex to Decimal Converter

A hexadecimal to decimal converter with bidirectional conversion. Shows step-by-step positional notation breakdown, outputs in binary and octal as well, and supports batch conversion of multiple values. Handles large numbers and negative values. All processing is client-side. Essential for programmers, hardware engineers, and computer science students.

Hex to Decimal Converter Features

  • Bidirectional
  • Step-by-step
  • Binary/octal output
  • Batch mode
  • Large numbers
Hexadecimal (base-16) uses digits 0-9 and letters A-F, where A=10, B=11, ..., F=15. It's widely used in computing because each hex digit maps exactly to 4 binary bits, making it a compact representation of binary data. Memory addresses, color codes (#FF5733), and MAC addresses all use hexadecimal.

How to Use

Enter a number:

  • Hex → Decimal: Enter hex value (e.g., FF, 1A3)
  • Decimal → Hex: Enter decimal value (e.g., 255)
  • Prefix: 0x prefix is optional

Conversion Method

Each hex digit is multiplied by 16 raised to its position (right-to-left, starting at 0). FF = F×16¹ + F×16⁰ = 15×16 + 15×1 = 240 + 15 = 255.

Common Values

  • 0xFF = 255 (max byte value)
  • 0xFFFF = 65535 (max 16-bit)
  • 0xDEADBEEF = 3735928559
  • 0x7FFFFFFF = 2147483647 (max 32-bit signed)

Step-by-Step Instructions

  1. 1Select conversion direction.
  2. 2Enter the value to convert.
  3. 3View the result in decimal/hex.
  4. 4Check binary and octal representations.
  5. 5Review the step-by-step breakdown.

Hex to Decimal Converter — Frequently Asked Questions

What does 0x mean?+

0x is a prefix convention indicating a hexadecimal number. It helps distinguish hex from decimal: 0x10 = 16 decimal, while 10 = 10 decimal.

Why do computers use hexadecimal?+

Because each hex digit represents exactly 4 binary bits. This makes hex a convenient shorthand for binary: 0xF = 1111₂, 0xFF = 11111111₂.

What's the largest hex digit?+

F, which equals 15 in decimal or 1111 in binary. Hex uses A=10, B=11, C=12, D=13, E=14, F=15.

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