Hex to Decimal Converter
Convert hexadecimal numbers to decimal with step-by-step calculation. Supports signed and unsigned decimal conversion with binary representation.
About Hex to Decimal Converter
The Hex to Decimal Converter is a powerful tool designed to convert hexadecimal (base-16) numbers to decimal (base-10) numbers. It provides both unsigned and signed decimal representations, along with binary conversion and detailed step-by-step calculations. This tool is essential for programmers, computer scientists, and anyone working with different number systems in computing.
What is Hexadecimal?
Hexadecimal (base-16) is a number system that uses 16 distinct symbols: 0-9 and A-F. It is commonly used in computing to represent binary data in a more compact and readable form.
What is Decimal?
Decimal (base-10) is the standard number system used in everyday life. It uses ten distinct symbols: 0-9. Each position represents a power of 10.
What is Two's Complement?
Two's complement is a method for representing signed integers in binary. The most significant bit (MSB) indicates the sign: 0 for positive, 1 for negative. Negative numbers are represented by inverting all bits and adding 1.
How does the conversion work?
Each hexadecimal digit represents a power of 16. Starting from the rightmost digit (position 0), each digit is multiplied by 16 raised to its position power, and the results are summed to get the decimal equivalent.
What are the different output formats?
The tool provides three outputs: 1) Unsigned decimal - the direct conversion value, 2) Signed decimal - using two's complement for specific bit lengths (8, 16, 32, 64 bits), and 3) Binary - the binary representation of the number.
When is signed conversion applicable?
Signed conversion is applicable when the hexadecimal number represents a signed integer in specific bit lengths (8, 16, 32, or 64 bits). The tool automatically detects the bit length and applies two's complement conversion when appropriate.