Modular Exponentiation (Power in Modular Arithmetic) in java

The java.math.BigInteger.modPow(BigInteger exponent, BigInteger m) returns a BigInteger whose value is (this^exponent mod m). Unlike pow, this method permits negative exponents. You can calculate the modular Exponentiation using this method.

Program

Live Demo

import java.math.*;

public class BigIntegerDemo {
   public static void main(String[] args) {
      // create 3 BigInteger objects
      BigInteger bi1, bi2, bi3;
     
      // create a BigInteger exponent
      BigInteger exponent = new BigInteger("2");
      bi1 = new BigInteger("7");
      bi2 = new BigInteger("20");
     
      // perform modPow operation on bi1 using bi2 and exp
      bi3 = bi1.modPow(exponent, bi2);
      String str = bi1 + "^" +exponent+ " mod " + bi2 + " is " +bi3;
     
      // print bi3 value
      System.out.println( str );
   }
}

Output:

7^2 mod 20 is 9

George John

Updated on: 25-Jun-2020

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