Exercise: Hard Mode Math

Write a console program that reimplements a few mathematical operations using methods:

• int mult(int multiplier, int multiplicand): Multiplies two numbers.
• int quot(int dividend, int divisor): Divides two numbers, returns the quotient.
• int rem(int dividend, int divisor): Divides two numbers, returns the remainder.
• int exponentiate(int baseNum, int exponent): Raises baseNum to the power of exponent.

Don't use the built-in operators *, /, % or the method Math.pow in your program. Instead, use only addition, subtraction, and your own methods to implement these operations.

You don't need to deal with negative operands in your implementation, but you can for extra credit.

Here is some example code that shows how these methods could be used:

int multiplier = 3;
int multiplicand = 8;
int product = mult(multiplier, multiplicand);
System.out.println(multiplier + "*" + multiplicand + " = " + product);

int dividend = 5;
int divisor = 2;
int quotient = quot(dividend, divisor);
System.out.println(dividend + "/" + divisor + " = " + quotient);

int remainder = rem(dividend, divisor);
System.out.println(dividend + "%" + divisor + " = " + remainder);

dividend = 7005;
divisor = 7;
remainder = rem(dividend, divisor);
System.out.println(dividend + "%" + divisor + " = " + remainder);

dividend = 5;
divisor = 0;
quotient = quot(dividend, divisor);
System.out.println(dividend + "/" + divisor + " = " + quotient);

int baseNum = 2;
int exponent = 6;
int power = exponentiate(baseNum, exponent);
System.out.println(baseNum + "^" + exponent + " = " + power);

baseNum = 2;
exponent = 0;
power = exponentiate(baseNum, exponent);
System.out.println(baseNum + "^" + exponent + " = " + power);

3*8 = 24
5/2 = 2
5%2 = 1
7005%7 = 5
Error: Divisor cannot be zero
5/0 = 0
2^6 = 64
2^0 = 1

Hand in instructions

1. Make sure your program runs correctly.
2. Hand in your program by uploading Main.java to Moodle.