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 + 10×16? = 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 (16?).
  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 × 16? = 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.