Hex to Decimal Converter - Convert Hexadecimal to Decimal Numbers

What is Hexadecimal to Decimal Conversion?

Hexadecimal to decimal conversion is the process of converting numbers from the hexadecimal (base-16) number system to the decimal (base-10) number system. Hexadecimal uses 16 symbols: 0-9 and A-F (where A=10, B=11, C=12, D=13, E=14, F=15).

How to Convert Hexadecimal to Decimal

To convert a hexadecimal number to decimal, you can use the positional notation method:

Write down the hexadecimal number
Assign each digit a position value (starting from right to left, beginning with 0)
Multiply each digit by 16 raised to the power of its position
Add all the results together

Example: Convert 1A3 to Decimal

1A3 in hexadecimal:

Position 2: 1 × 16² = 1 × 256 = 256
Position 1: A × 16¹ = 10 × 16 = 160
Position 0: 3 × 16⁰ = 3 × 1 = 3

Total: 256 + 160 + 3 = 419

Common Hexadecimal Values

Here are some common hexadecimal to decimal conversions:

FF = 255
100 = 256
FFF = 4095
1000 = 4096
FFFF = 65535

Uses of Hexadecimal Numbers

Hexadecimal numbers are commonly used in:

Computer Programming: Memory addresses, color codes, and binary data representation
Web Development: HTML color codes (e.g., #FF0000 for red)
Digital Electronics: Microprocessor programming and debugging
Data Analysis: Binary data interpretation and analysis

Frequently Asked Questions

What is the difference between hexadecimal and decimal?

Hexadecimal is a base-16 number system using digits 0-9 and letters A-F, while decimal is a base-10 number system using digits 0-9. Hexadecimal is more compact for representing large binary numbers and is commonly used in computing.

How do I convert a large hexadecimal number to decimal?

For large hexadecimal numbers, you can use our online converter tool above, or use the positional notation method: multiply each digit by 16 raised to the power of its position (starting from 0 on the right) and sum all results.

Can I convert decimal to hexadecimal as well?

Yes! While this tool converts hexadecimal to decimal, you can also convert decimal to hexadecimal by repeatedly dividing the decimal number by 16 and collecting the remainders in reverse order.

Why are hexadecimal numbers used in programming?

Hexadecimal numbers are used in programming because they provide a more compact way to represent binary data. Each hexadecimal digit represents exactly 4 binary digits, making it easier to read and work with binary data in human-readable form.