Hexadecimal To Base-10 Converter

Convert Hexadecimal to Base-10

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Effortlessly Convert Hexadecimal to Decimal with Our User-Friendly Tool, Powered by Newtum


(Last Updated On: 2024-10-18)

Discover the simplicity of converting hexadecimal numbers to base-10 with our Hexadecimal to Base-10 Converter. Curious about how it works? Dive in and learn the ease of this essential tool.

What are Hexadecimal and Base-10

Definition of Hexadecimal

Hexadecimal is a base-16 numeral system. It uses sixteen distinct symbols, 0-9 to represent values zero to nine, and A-F (or a-f) to represent values ten to fifteen. Each digit in a hexadecimal number represents a power of 16.

Definition of Base-10

Base-10, also known as the decimal system, is the standard system for denoting integer and non-integer numbers. It is the most widely used number system and is based on ten distinct digits, from 0 to 9, each digit having a place value ten times that of the digit to its right.

Hexadecimal to Base-10 Conversion Table

Hexadecimal Base-10
0x1 1
0x2 2
0x3 3
0x4 4
0x5 5
0x6 6
0x7 7
0x8 8
0x9 9
0xA 10

Conversion of Hexadecimal to Base-10

Example 1:
Convert 0x1F to Base-10:
0x1F = (1 * 16^1) + (15 * 16^0) = 31

Example 2:
Convert 0xA9 to Base-10:
0xA9 = (10 * 16^1) + (9 * 16^0) = 169

History of Hexadecimal and Base-10

The Hexadecimal to Base-10 Converter has a significant place in the history of computing. It simplified the conversion process for programmers and engineers, who often work with hexadecimal values in computing systems and needed an efficient way to translate these figures into decimal numbers.

How to use Hexadecimal to Base-10 Converter

Real Life Applications of Hexadecimal to Base-10

Understanding Hexadecimal to Base-10 conversions is pivotal for various applications. Let's explore where this tool can make a real-world impact.

Solved Examples

Example Conversion 1:
Hexadecimal: 0x7B
Base-10: 123

Example Conversion 2:
Hexadecimal: 0x1A3
Base-10: 419

FAQs - Hexadecimal to Base-10 Converter

What is the purpose of a Hexadecimal to Base-10 Converter?
It converts hexadecimal numbers, commonly used in computing, into the more universally understood base-10 numeral system.
How accurate is the conversion?
The conversions are mathematically exact and can be relied upon for precision.
Can the converter handle large numbers?
Yes, the converter is capable of transforming both small and large hexadecimal values into decimal numbers.