Numbers Conversion Calculator

Number systems are different ways of representing numbers: 1) Decimal (base-10), 2) Binary (base-2), 3) Hexadecimal (base-16), 4) Octal (base-8). Each system has its own digits and place values.

To convert between number systems: 1) Decimal to Binary: divide by 2 repeatedly, 2) Binary to Decimal: multiply each digit by powers of 2, 3) Decimal to Hex: divide by 16, 4) Hex to Decimal: multiply by powers of 16.

Different number systems serve various purposes: 1) Binary for computer operations, 2) Hexadecimal for compact representation in programming, 3) Decimal for human calculations, 4) Octal for some legacy systems.