Hexadecimal to Decimal Converter

Convert hex numbers to decimal instantly with batch conversion support. Essential tool for programmers, students, and engineers.

Conversion Formula: Decimal = Σ (digitn × 16n) where digit values: 0-9 = 0-9, A-F = 10-15

0x
Enter a hexadecimal number (digits 0-9, A-F). Case insensitive. May include 0x prefix or not.
A
FF
1A3
3E8
7FFF
FFFF
10
100
7FFFFFFF
DEADBEEF

Batch Conversion: Convert multiple hexadecimal numbers at once. Enter one hex value per line, or separate values with commas, spaces, or tabs.

Enter hexadecimal numbers (0-9, A-F). Each value will be converted separately. Maximum 1000 values.
Simple List
Basic hex values for testing
A FF 10 1A3 3E8
Comma-Separated
Values separated by commas
A, FF, 10, 1A3, 3E8, 7FFF, FFFF
Common Values
Common hex values used in programming
0 1 2 4 8 10 20 40 80 100 200 400 800 1000
Converting...

Understanding Hexadecimal Numbers

Hexadecimal (often abbreviated as "hex") is a base-16 numeral system used in computing and digital electronics. It uses 16 distinct symbols: 0-9 to represent values zero to nine, and A-F to represent values ten to fifteen.

Why Hexadecimal is Important:

  • Each hex digit represents exactly 4 binary digits (bits), making it a convenient shorthand for binary values
  • Widely used in programming for memory addresses, color codes (HTML/CSS), and debugging
  • More human-readable than binary while maintaining a direct relationship to the underlying binary representation

Hexadecimal Digits and Values

Hex Digit Decimal Value Binary (4-bit) Hex Digit Decimal Value Binary (4-bit)
0 0 0000 8 8 1000
1 1 0001 9 9 1001
2 2 0010 A 10 1010
3 3 0011 B 11 1011
4 4 0100 C 12 1100
5 5 0101 D 13 1101
6 6 0110 E 14 1110
7 7 0111 F 15 1111

Batch Conversion Tips

1

Input Formats: You can enter hex values in multiple formats: one per line, comma-separated, space-separated, or mixed. The converter will automatically detect and parse them.

2

Error Handling: Invalid hex values will be flagged with an error message. The converter will continue processing the remaining valid values.

3

Performance: The batch converter can process up to 1000 values at once. For larger datasets, consider splitting them into multiple batches.

4

Export Options: You can export the conversion results as CSV or JSON for further analysis in spreadsheet software or other applications.

5

Common Use Cases: Batch conversion is useful for processing memory dumps, color palettes, configuration files, or any list of hex values.

Real-World Applications

  • Memory Addressing: RAM addresses are typically expressed in hexadecimal
  • Color Codes: HTML/CSS uses hex notation for colors (#RRGGBB)
  • Debugging: Memory dumps and register values are shown in hex
  • File Formats: Many file formats use hex codes for identification
  • MAC Addresses: Network device addresses are hex numbers
  • Assembly Language: Constants and addresses are often written in hex

Calculator Features:

  • Converts hex to decimal with step-by-step calculations
  • Supports batch conversion of multiple hex values
  • Also shows binary and octal equivalents
  • Handles both uppercase and lowercase hex digits
  • Accepts hex numbers with or without 0x prefix
  • Export results as CSV or JSON

Frequently Asked Questions

Hexadecimal is used because it maps perfectly to binary: each hex digit represents exactly 4 binary digits (bits). This makes it much more compact and readable than binary. For example, the binary number 1111000010100111 becomes F0A7 in hex, which is much easier for humans to read, write, and remember.

The "0x" prefix is a notation used in programming languages (like C, C++, Java, JavaScript) to indicate that a number is hexadecimal. For example, 0xFF means FF in hexadecimal, which is 255 in decimal. This prefix helps distinguish hex numbers from decimal numbers, especially when they contain only digits 0-9.

To convert decimal to hex, repeatedly divide the decimal number by 16 and record the remainders. The hex digits are the remainders converted to hex (10=A, 11=B, etc.), read in reverse order. For example, to convert 255 to hex: 255 ÷ 16 = 15 remainder 15 (F), 15 ÷ 16 = 0 remainder 15 (F), so 255 = FF in hex.

Two hex digits can represent values from 00 to FF in hex, which is 0 to 255 in decimal. So the largest decimal number is 255. In general, n hex digits can represent decimal values from 0 to 16ⁿ - 1.

The batch converter can process up to 1000 values at once. This limit is in place to ensure good performance and prevent browser slowdowns. If you have more values to convert, simply split them into multiple batches of 1000 or fewer values each.