Skip to content

SmallMathTools.com

  • Home
  • Math
  • Other
  • Toggle search form

Hexadecimal to Decimal Converter

๐Ÿ“Š Hexadecimal to Decimal Converter

Use this hexadecimal to decimal converter to instantly transform hexadecimal numbers into their decimal equivalents. Simply enter a hexadecimal value, and this tool will provide an accurate decimal representation.

Decimal representation will appear here…

๐Ÿ“Œ What is a Hexadecimal Number?

The **hexadecimal number system** is a base-16 numeral system that uses sixteen symbols: **0-9 and A-F**. It is widely used in computing and digital electronics.

Example: The hexadecimal number **1A** is represented as **26** in decimal.

๐Ÿ“Œ Methods to Convert Hexadecimal to Decimal

  • Positional Notation Method: Multiply each digit by 16 raised to its position index and sum the values.
  • Direct Conversion: Use a hexadecimal chart to replace each digit and sum their decimal equivalents.
  • Using Built-in Functions: Many programming languages provide built-in functions for conversion.

๐Ÿ“Œ Examples of Hexadecimal to Decimal Conversion

MethodExampleSolution
Positional Notation2F(2ร—16ยน) + (15ร—16โฐ) = 32 + 15 = 47
Direct Conversion7B7 ร— 16 + 11 = 123
Built-in FunctionsFFparseInt(“FF”, 16) = 255

โ“ FAQs

Q1: How do I convert a hexadecimal number to decimal?
โœ… Use positional notation, direct conversion, or programming functions.

Q2: Why is hexadecimal used in computing?
โœ… Hexadecimal is used because it represents binary values more compactly.

Q3: Can I convert large hexadecimal numbers?
โœ… Yes, but ensure accuracy by using structured methods.

Q4: What is the simplest way to verify conversion?
โœ… Convert the decimal back to hexadecimal and check if it matches.

Q5: Is there a limit to hexadecimal conversion?
โœ… No, but large numbers may require higher computing precision.

Copyright © 2025 SmallMathTools.com.