Siddhipatade / Minimum-Flips

Minimum Flips to Make a OR b Equal to c

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Minimum Flips for Bitwise OR

This repository contains a Java solution for calculating the minimum number of flips required to make (a OR b) == c, where a, b, and c are positive numbers.

Problem Description

Given three positive numbers a, b, and c, the goal is to determine the minimum number of flips required in some bits of a and b to make (a OR b) == c (bitwise OR operation). A flip operation consists of changing any single bit 1 to 0 or changing the bit 0 to 1 in their binary representation.

Solution Overview

The provided Java solution utilizes bitwise operations to extract the least significant bit of a, b, and c in each iteration. The logic of the solution can be summarized as follows:

  1. Initialize a variable flips to keep track of the number of flips required.

  2. Start a loop that continues until all bits of a, b, and c have been processed.

  3. Extract the least significant bit of a, b, and c using the bitwise AND operator (&).

  4. Check the value of bitC:

    • If bitC is 0, add bitA + bitB to the flips count since the corresponding bit in c is 0 and we need to flip a and/or b if either of them has a corresponding bit set to 1.
    • If bitC is 1, add 1 to the flips count only if both bitA and bitB are 0 since the corresponding bit in c is 1 and we only need to flip a and b if both of them have a corresponding bit set to 0.
  5. Right-shift a, b, and c by 1 bit to process the next least significant bit.

  6. Repeat the loop until all bits of a, b, and c have been processed.

  7. Return the total number of flips stored in the flips variable.

How to Use

The minFlips method provided in the Solution class accepts three positive integer values a, b, and c as input and returns the minimum number of flips required to make (a OR b) == c. To use this method, follow these steps:

  1. Compile the Java code using a Java compiler or IDE of your choice.

  2. Call the minFlips method with the desired values for a, b, and c.

  3. The method will return the minimum number of flips required.

  4. You can customize the main method in the code to test the solution with different input values.

Feel free to explore the code and modify it as needed.

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Minimum Flips to Make a OR b Equal to c


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