Final answer:
The program will continuously accept two integers from a user and perform arithmetic operations of their choice until "STOP" is entered. It will handle normal arithmetic rules including sign convention and display an error for division by zero.
Step-by-step explanation:
When working to create a program that accepts two integers and performs arithmetic operations based on the user's choice, we apply core programming concepts. The program will prompt the user to enter two integers and then choose from addition, subtraction, multiplication, or division. In case of division by zero, the program will output a message indicating that division by zero is not possible. The loop structure implemented will allow the program to run continually until the user enters "STOP".
Some important mathematical principles to consider while implementing the operations are:When adding two positive numbers or two negative numbers, the result follows the sign of the numbers involved.For subtraction, after switching the sign of the second number, apply the rules of addition.Multiplication and division will result in a positive number if both numbers have the same sign and negative if they have opposite signs.These principles help ensure that the program performs the correct arithmetic operation and handles sign conventions appropriately, leading to accurate results.