Base conversion

Base conversion is the process of changing a number from one numbering system (base) to another. In different bases, the value of a digit depends on its position and the base itself—for example, base-10 (decimal) uses digits 0-9, while base-2 (binary) uses 0 and 1. Converting involves rewriting the number so that its value remains the same but expressed in the new system, often by breaking the number into parts, dividing, or multiplying by powers of the target base. This allows computers and mathematicians to handle numbers efficiently across various applications.