# Generate first K multiples of N using Bitwise operators

• Difficulty Level : Expert
• Last Updated : 02 Nov, 2021

Given an integer N, the task is to print the first K multiples of N using Bitwise Operators.

Examples:

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Input: N = 16, K = 7
Output:
16 * 1 = 16
16 * 2 = 32
16 * 3 = 48
16 * 4 = 64
16 * 5 = 80
16 * 6 = 96
16 * 7 = 112
Input: N = 7, K = 10
Output:
7 * 1 = 7
7 * 2 = 14
7 * 3 = 21
7 * 4 = 28
7 * 5 = 35
7 * 6 = 42
7 * 7 = 49
7 * 8 = 56
7 * 9 = 63
7 * 10 = 70

Approach:

Follow the steps below to solve the problem:

• Iterate up to K.
• For each iteration, print current value of N.
• Then, calculate the sum of 2i for every ith set bit of N. Add this sum to N and repeat from the step above.

Below is the implementation of the above approach:

## C++

 `// C++ program to implement``// the above approach``#include ``using` `namespace` `std;` `// Function to print the first K``// multiples of N``void` `Kmultiples(``int` `n, ``int` `k)``{``    ``int` `a = n;` `    ``for` `(``int` `i = 1; i <= k; i++) {` `        ``// Print the value of N*i``        ``cout << n << ``" * "` `<< i << ``" = "``             ``<< a << endl;``        ``int` `j = 0;` `        ``// Iterate each bit of N and add``        ``// pow(2, pos), where pos is the``        ``// index of each set bit``        ``while` `(n >= (1 << j)) {` `            ``// Check if current bit at``            ``// pos j is fixed or not``            ``a += n & (1 << j);` `            ``// For next set bit``            ``j++;``        ``}``    ``}``}` `// Driver Code``int` `main()``{``    ``int` `N = 16, K = 7;` `    ``Kmultiples(N, K);` `    ``return` `0;``}`

## Java

 `// Java program to implement``// the above approach``import` `java.util.*;``class` `GFG{` `// Function to print the first K``// multiples of N``static` `void` `Kmultiples(``int` `n, ``int` `k)``{``    ``int` `a = n;` `    ``for` `(``int` `i = ``1``; i <= k; i++)``    ``{` `        ``// Print the value of N*i``        ``System.out.print(n+ ``" * "` `+  i+ ``" = "``             ``+ a +``"\n"``);``        ``int` `j = ``0``;` `        ``// Iterate each bit of N and add``        ``// Math.pow(2, pos), where pos is the``        ``// index of each set bit``        ``while` `(n >= (``1` `<< j))``        ``{` `            ``// Check if current bit at``            ``// pos j is fixed or not``            ``a += n & (``1` `<< j);` `            ``// For next set bit``            ``j++;``        ``}``    ``}``}` `// Driver Code``public` `static` `void` `main(String[] args)``{``    ``int` `N = ``16``, K = ``7``;` `    ``Kmultiples(N, K);``}``}` `// This code is contributed by Rohit_ranjan`

## Python3

 `# Python3 program to implement``# the above approach``          ` `# Function to print the first K``# multiples of N``def` `Kmultiples(n, k):``    ` `    ``a ``=` `n``    ` `    ``for` `i ``in` `range``(``1``, k ``+` `1``):``        ` `        ``# Print the value of N*i``        ``print``(``"{} * {} = {}"``.``format``(n, i, a))``        ``j ``=` `0``        ` `        ``# Iterate each bit of N and add``        ``# pow(2, pos), where pos is the``        ``# index of each set bit``        ``while``(n >``=` `(``1` `<< j)):``            ` `            ``# Check if current bit at``            ``# pos j is fixed or not``            ``a ``+``=` `n & (``1` `<< j)``            ` `            ``# For next set bit``            ``j ``+``=` `1``            ` `# Driver Code``N ``=` `16``K ``=` `7` `Kmultiples(N, K)` `# This code is contributed by Shivam Singh`

## C#

 `// C# program to implement``// the above approach``using` `System;` `class` `GFG{` `// Function to print the first K``// multiples of N``static` `void` `Kmultiples(``int` `n, ``int` `k)``{``    ``int` `a = n;` `    ``for``(``int` `i = 1; i <= k; i++)``    ``{``        ` `        ``// Print the value of N*i``        ``Console.Write(n + ``" * "` `+ i +``                          ``" = "` `+ a + ``"\n"``);``        ``int` `j = 0;` `        ``// Iterate each bit of N and add``        ``// Math.Pow(2, pos), where pos is``        ``//  the index of each set bit``        ``while` `(n >= (1 << j))``        ``{``            ` `            ``// Check if current bit at``            ``// pos j is fixed or not``            ``a += n & (1 << j);` `            ``// For next set bit``            ``j++;``        ``}``    ``}``}` `// Driver Code``public` `static` `void` `Main(String[] args)``{``    ``int` `N = 16, K = 7;` `    ``Kmultiples(N, K);``}``}` `// This code is contributed by Amit Katiyar`

## Javascript

 ``
Output:
```16 * 1 = 16
16 * 2 = 32
16 * 3 = 48
16 * 4 = 64
16 * 5 = 80
16 * 6 = 96
16 * 7 = 112```

Time Complexity: O(Klog2N)
Auxiliary Space: O(1)

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