How should you design a scientific calculator using C plus plus?

Answer 1

The easiest way to implement a calculator is an RPN calculator (enter the numbers first, perform the operation last). You need a last-in-first-out stack (there's a "stack" class in C++, but you can also implement your own using an array or a linked list), and a set of functions that pop the last elements from the stack and push the result (e.g. Add() pops the last 2 values and pushes their addition).
You'll need the math.h library for scientific operations.