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

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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