# QnA | Perform Multiplication and Division without * or / or % operators.

Problem: How to write a program that can be used for Multiplication or Division two integer values without using “*” operator and “/” or “%” operators?

Example:
Inputs:-
6 and 3 (Multiply)
50 and 10 (Multiply)
18 and 2 (Divide)
39 and 4 (Divide)
Output:-
Multiplication of 6 and 3 = 18
Multiplication of 50 and 10 = 500
Division of 18 and 6:
Quotient 3 and Remainder 0
Division of 39 and 4:
Quotient 9 and Remainder 3

## Solution

We can achieve the same by using addition or subtraction as mentioned below:
1. Multiplication :

Multiplicand X Multiplier = Result
Adding the ‘Multiplicand’ to itself for the value of ‘Multiplier’ times. As in the above example if we have to get the result of 6 x 3 = ? then logic will be 6+6+6 = 18.

2. Division :

Dividend/Divisor = Quotient with Remainder

Subtract ‘Divisor’ from ‘Dividend’ along with a counter until the value of dividend gets greater than or equal to the divisor. As in the above example if we have to get the result of 18 / 6 = ? then logic will be
18 – 6 = 12
12 – 6 = 6
6 – 6 = 0
As there are three iterations and the end result is zero, the answer will be 18 / 6 = Quotient 3 with remainder 0.

## Code Example

``````public class DivisionMultiplication {

public static void main(String[] args)
{
multiplication(6, 3);
division(39, 4);
}

public static void multiplication(int multiplicand, int multiplier)
{
// Step #1: Initialize a result variable with 0
int result = 0;

// Step #2: Saving value of 'multiplier' into new variable 'initialMultiplier'
int initialMultiplier = multiplier;

// Step #3: Adding the 'multiplicand' in 'result' variable until 'multiplier' is 0.
while (multiplier > 0)
{
result += multiplicand;
multiplier--;
}

// Step #4: Use 'format()' of 'String' class to print the result
String output = String.format("Multiplication of %s and %s = %s", multiplicand, initialMultiplier, result);
System.out.println(output);
}

public static void division(int dividend, int divisor)
{
// Step #1: Initialize two variables 'result' and 'remainder' with 0.
int quotient = 0;
int remainder = 0;

// Step #2: Saving value of 'dividend' into new variable 'initialDividend'
int initialDividend = dividend;

// Step #3: Now subtract 'divisor' from 'dividend' until, value gets greater than or equal to divisor.
while (dividend >= divisor)
{
remainder = dividend - divisor;

dividend = remainder;

quotient++;
}

// Step #4: Use 'format()' of 'String' class to print the result
String output = String.format("Division of %s and %s =>", initialDividend, divisor);
System.out.println(output);
System.out.printf(" Quotient %s \n Remainder %s", quotient, remainder);

}
}`````` 2539total visits,3visits today

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