Convert Decimal to Hexadecimal & Hex to Decimal Online - Free Number System Converter

Instantly convert numbers from decimal to hexadecimal! Our free online converter tool allows programmers, computer science students, and other digital professionals to quickly perform conversions between decimal and hex formats in both directions: decimal to hex and hex to decimal.

Understanding Decimal and Hexadecimal Number Systems

Decimal System (Base-10)

The decimal system uses 10 digits (0-9) and is how we usually count:

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1000 = 10³  

100 = 10²  

10 = 10¹  

1 = 10⁰  

A number like 3,141,592 has seven digits. The exponential notation just means that the number is 3×1043 \times 10^43×104 or 30,000.

• Units (10⁰)

• Tens (10¹)

• Hundreds (10²)

• Thousands (10³)

• And so on...

Hexadecimal System (Base-16)

The hexadecimal system uses 16 digits:

• Numbers: 0-9

• Letters: A-F (representing 10-15)

• Each position represents a power of 16

How to Use Our Converter

Decimal to Hex Conversion

1. Enter your decimal number in the input field.

2. Click "Convert to Hex".

3. Get your hexadecimal result instantly.

4. Copy the result with one click.

Hex to Decimal Conversion

1. Enter your hexadecimal number (with or without the '0x' prefix).

2. Click "Convert to Decimal".

3. View your decimal result.

4. Copy or use the converted number.

Key Features

• Bi-directional Conversion: Convert numbers both ways (decimal ↔ hex).

• Large Number Support: Handle numbers up to 64 bits.

• Instant Results: Get conversions in real-time.

• Format Options: Display hex with or without the '0x' prefix.

• Error Checking: Validates input to ensure accurate conversion.

• Copy to Clipboard: One-click copying of results.

• Mobile-Friendly: Works on all devices.

Common Applications

• Programming and Development

  • Memory addresses

  • Color codes

  • Binary file manipulation

  • Assembly language programming

  • Debugging and memory inspection

• Computer Science

  • Number system studies

  • Digital logic design

  • Computer architecture

  • Algorithm development

• Digital Design

  • RGB color codes

  • Digital art creation

  • Web development

Conversion Examples

Decimal to Hexadecimal

• 255 → FF

• 1000 → 3E8

• 16777215 → FFFFFF

• 42 → 2A

Hexadecimal to Decimal

• FF → 255

• 3E8 → 1000

• FFFFFF → 16777215

• 2A → 42

Understanding the Conversion Process

Decimal to Hex Conversion Method

1. Divide the decimal number by 16.

2. Keep track of the remainders.

3. Convert the remainders to hex digits (0-F).

4. Read the remainders from bottom to top.

Example: Converting 423 to hex

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423 ÷ 16 = 26 remainder 7    → (7)  

26 ÷ 16 = 1 remainder 10   → (A)  

1 ÷ 16 = 0 remainder 1    → (1)  

Result: 1A7  

Hex to Decimal Conversion Method

1. Multiply each digit by its corresponding power of 16.

2. Sum all values.

Example: Converting 1A7 to decimal

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1 × 16² = 1 × 256 = 256  

A × 16¹ = 10 × 16 = 160  

7 × 16⁰ = 7 × 1 = 7  

Sum: 256 + 160 + 7 = 423  

Advanced Features

• Batch Conversion: Convert multiple numbers at once.

• Binary View: See binary representation alongside conversions.

• History: Keep track of recent conversions.

• Custom Formatting: Choose output format preferences.

Tips for Accurate Conversion

1. Double-check the input format.

2. Verify number ranges.

3. Use the appropriate case for hex letters (A-F).

4. Consider using the '0x' prefix for clarity.

Technical Specifications

• Input Range (Decimal): 0 to 18,446,744,073,709,551,615

• Input Range (Hex): 0 to FFFFFFFFFFFFFFFF

• Processing Time: Instant

• Accuracy: 100% guaranteed

• Support: All modern browsers

Frequently Asked Questions

Why use hexadecimal numbers?

Hexadecimal numbers are commonly used in computing because sequences of pure binary digits (0s and 1s) take up a lot of space. Four binary digits represent a single hexadecimal digit, which makes it much easier to read and write binary data in computer programs and digital hardware.

How do I know if a number is in hex format?

Hexadecimal numbers are often shown with the prefix '0x' or 'h' (e.g., 0xFF or FFh). The digits 0-9 are used as usual, while A-F represent values from 10 to 15.

What's the largest decimal number I can convert?

Our tool can convert up to 64-bit numbers, so the maximum decimal value is 18,446,744,073,709,551,615 (2⁶⁴ - 1).

Can I convert negative numbers?

Yes! Negative numbers are stored using two’s complement in hex.

Is the converter free to use?

Absolutely! Our hexadecimal to decimal and decimal to hexadecimal converter tool is 100% free and works without registration (no account required).

Convert your numbers now and make your programming tasks smoother with our free number system converter!