A stack-based algorithm transforms mathematical expressions from reverse Polish notation (postfix) to straightforward infix notation. For example, the postfix expression “2 3 +” turns into “2 + 3” in infix. This conversion entails studying the postfix expression from left to proper, pushing operands onto a stack, and upon encountering an operator, popping the required operands, combining them with the operator, and pushing the ensuing expression again onto the stack.
This conversion is prime in laptop science, bridging the hole between a notation handy for machine analysis and one readily understood by people. Its significance stems from the effectivity of postfix analysis in computer systems, avoiding the complexities of operator priority and parentheses inherent in infix notation. Traditionally, reverse Polish notation has been integral to calculators and sure programming languages.