Hex Calculator
Hexadecimal Arithmetic
Number Base Converter
How Hexadecimal Numbers Work
Hexadecimal is a base-16 number system that uses sixteen distinct symbols: the digits 0 through 9 represent values zero to nine, and the letters A through F represent values ten through fifteen. Each position in a hexadecimal number represents a power of 16, just as each position in a decimal number represents a power of 10. For instance, the hex number 2F equals 2 × 16 + 15 = 47 in decimal.
Hexadecimal is widely used in computing because it maps perfectly to binary. Each hex digit corresponds to exactly four binary digits (bits), so a single byte (8 bits) can be represented by two hex digits. This makes hex an efficient shorthand for binary data. Web developers use hex color codes like #FF5733, where each pair of digits represents the red, green, and blue channels. Memory addresses, MAC addresses, and error codes are commonly displayed in hexadecimal format.
This calculator performs arithmetic operations on hexadecimal values and converts between four common number bases: decimal (base 10), hexadecimal (base 16), binary (base 2), and octal (base 8). Whether you are debugging code, working with memory addresses, designing CSS colors, or studying number systems in a computer science course, understanding hex conversions and arithmetic is a fundamental skill. The converter handles large values and displays results in all four bases simultaneously for easy comparison.