Hex to Decimal Converter

Convert hexadecimal (base-16) numbers to decimal (base-10) instantly with our Hex to Decimal Converter. Includes step-by-step calculations and binary equivalents.

Number Base Converter

Convert between hexadecimal and decimal number systems with additional binary and octal representations.

Conversion Type
Convert base-16 hexadecimal values to base-10 decimal
Convert base-10 decimal values to base-16 hexadecimal
Enter a hexadecimal value with or without the 0x prefix (0-9, A-F)
Additional Options
Include base-2 binary format in the results
Include base-8 octal format in the results
Include scientific notation format in the results

About Hexadecimal Numbers

Hexadecimal (base-16) is a number system that uses 16 distinct symbols: the numbers 0-9 and the letters A-F to represent values.

Hex Digits:

0 = 0
1 = 1
2 = 2
3 = 3
4 = 4
5 = 5
6 = 6
7 = 7
8 = 8
9 = 9
A = 10
B = 11
C = 12
D = 13
E = 14
F = 15

Common Uses:

  • Memory addresses in programming
  • Color codes in web design (e.g., #FF5733)
  • Representing binary data in a more compact form
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Enter a decimal (base-10) integer value
Additional Options
Include base-2 binary format in the results
Include base-8 octal format in the results
Convert A-F letters to uppercase (e.g., 1A instead of 1a)
Include the 0x prefix before the hex value

About Number Systems

Different number systems use different bases to represent values:

Common Number Systems:

  • Binary (Base-2) - Uses only 0 and 1 (used by computers internally)
  • Octal (Base-8) - Uses digits 0-7
  • Decimal (Base-10) - Uses digits 0-9 (standard human counting)
  • Hexadecimal (Base-16) - Uses digits 0-9 and letters A-F

Conversion Example:

The decimal number 42 in different bases:

  • Binary: 101010
  • Octal: 52
  • Decimal: 42
  • Hexadecimal: 2A
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What is a Hex to Decimal Converter?

A Hex to Decimal Converter is a tool that transforms hexadecimal (base-16) numbers into their decimal (base-10) equivalents. Hexadecimal is a numeral system that uses 16 distinct symbols: the numbers 0-9 and the letters A-F (or a-f) to represent values. This conversion tool is essential for programmers, computer scientists, and digital system designers who frequently work with different number systems.

Understanding Hexadecimal Numbers

Hexadecimal is a base-16 number system that uses 16 distinct symbols:

  • Digits 0-9 represent values 0 to 9
  • Letters A-F (or a-f) represent values 10 to 15

For example, the hexadecimal number 1A represents the decimal value 26 (1×16¹ + 10×16⁰ = 16 + 10 = 26).

Why Use Hexadecimal?

Hexadecimal notation offers several advantages in computing and digital systems:

  • Compact Representation: Hexadecimal provides a more concise way to represent binary data. Each hex digit represents exactly 4 binary digits (bits).
  • Memory Addresses: Computer memory addresses are commonly expressed in hexadecimal for readability.
  • Color Codes: Web colors are specified using hexadecimal notation (e.g., #FF5733).
  • Assembly Language: Machine code and assembly language often use hexadecimal for instruction representation.
  • Debugging: Hexadecimal is used in debugging tools and memory dumps for easier interpretation.

The Conversion Process

Converting from hexadecimal to decimal involves these steps:

  1. Identify the position (power of 16) of each digit, starting from the rightmost digit (16⁰).
  2. Multiply each digit by its corresponding power of 16.
  3. Sum all the resulting values.

For example, to convert the hexadecimal number 3A7 to decimal:

  • 7 × 16⁰ = 7 × 1 = 7
  • A (value 10) × 16¹ = 10 × 16 = 160
  • 3 × 16² = 3 × 256 = 768
  • Sum: 7 + 160 + 768 = 935

How to Use Our Hex to Decimal Converter

Our converter makes the transformation process simple:

  1. Enter a hexadecimal number (with or without the "0x" prefix)
  2. Choose whether to show the step-by-step calculation
  3. Get instant conversion results
  4. Optionally view the binary equivalent

The tool handles both uppercase and lowercase hexadecimal digits and can process large numbers with precision.