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Thursday, August 17, 2017

How to perform Multiplication and Division without using * or / or % operators?

Question: How to perform Multiplication and Division without using * or / or % operators?

Problem: Write a code which can be used to Multiply or Divide 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

Answer:
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 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 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: 

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);
}
}




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