Hex to Decimal Converter

Enter value and click on calculate. Result will be displayed.
Enter Hex Value :
Result:
Decimal Number :
Decimal 2's complement :
Binary Number :

What is a Hex to Decimal Converter?
A Hex to Decimal Converter is a tool used to convert numbers from hexadecimal (base-16) format to decimal (base-10) format. Hexadecimal uses digits 0-9 and letters A-F to represent values, while decimal uses the usual digits 0-9. This conversion is useful because computers often use hexadecimal for compact representation of binary data, but humans typically work with decimal numbers for daily calculations.

For example:

  • Hexadecimal: A3
  • Decimal: 163

Why use a Hex to Decimal Converter?

  • Human readability: Hex is commonly used in programming and computing, but decimal is the number system most people are familiar with.
  • Software development: Developers frequently need to convert between hex and decimal when working with memory addresses, debugging, or developing low-level applications.
  • Data analysis: In some data formats or protocols, numbers may be represented in hex, and converting to decimal helps in understanding the data.
  • Educational purposes: Learning number system conversions is fundamental for understanding how computers process and store information.

How does a Hex to Decimal Converter work?
Hexadecimal is a base-16 system, so each digit represents a power of 16. To convert hex to decimal, each hex digit is multiplied by 16 raised to the power of its position (starting from 0 on the right). Then, you sum the results.

For example, converting A3 (hex) to decimal:

  • Hex A3 has two digits: A and 3.
  • A represents 10 in decimal, and 3 represents 3.
  • The positions of the digits from right to left are 0 and 1, so we calculate:
    10 × (161) + 3 × (160) = 10 × 16 + 3 × 1 = 160 + 3 = 163
  • Therefore, hex A3 is equivalent to decimal 163.

When to use a Hex to Decimal Converter:

  • Programming and debugging: Converting hex values into decimal for easier understanding of memory addresses, variable values, or error codes.
  • Networking and protocols: Working with data packets or addresses represented in hexadecimal.
  • Cryptography and encoding: Converting encoded or encrypted values to a more understandable format.
  • Educational purposes: Converting hex numbers in exercises to better understand number systems.