Add HammingDistance algorithm (#5706)

Author: Hardvan

DIRECTORY.md

@@ -28,6 +28,7 @@
             * [CountLeadingZeros](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/CountLeadingZeros.java)
             * [CountSetBits](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/CountSetBits.java)
             * [GrayCodeConversion](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/GrayCodeConversion.java)
+            * [HammingDistance](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/HammingDistance.java)
             * [HighestSetBit](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/HighestSetBit.java)
             * [IndexOfRightMostSetBit](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/IndexOfRightMostSetBit.java)
             * [IsEven](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/IsEven.java)
@@ -654,6 +655,7 @@
             * [CountLeadingZerosTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/CountLeadingZerosTest.java)
             * [CountSetBitsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/CountSetBitsTest.java)
             * [GrayCodeConversionTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/GrayCodeConversionTest.java)
+            * [HammingDistanceTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/HammingDistanceTest.java)
             * [HighestSetBitTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/HighestSetBitTest.java)
             * [IndexOfRightMostSetBitTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/IndexOfRightMostSetBitTest.java)
             * [IsEvenTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/IsEvenTest.java)

src/main/java/com/thealgorithms/bitmanipulation/HammingDistance.java

@@ -0,0 +1,29 @@
+package com.thealgorithms.bitmanipulation;
+
+/**
+ * The Hamming distance between two integers is the number of positions at which the corresponding bits are different.
+ * Given two integers x and y, calculate the Hamming distance.
+ * Example:
+ * Input: x = 1, y = 4
+ * Output: 2
+ * Explanation: 1 (0001) and 4 (0100) have 2 differing bits.
+ *
+ * @author Hardvan
+ */
+public final class HammingDistance {
+    private HammingDistance() {
+    }
+
+    /**
+     * Calculates the Hamming distance between two integers.
+     * The Hamming distance is the number of differing bits between the two integers.
+     *
+     * @param x The first integer.
+     * @param y The second integer.
+     * @return The Hamming distance (number of differing bits).
+     */
+    public static int hammingDistance(int x, int y) {
+        int xor = x ^ y;
+        return Integer.bitCount(xor);
+    }
+}

src/test/java/com/thealgorithms/bitmanipulation/HammingDistanceTest.java

@@ -0,0 +1,17 @@
+package com.thealgorithms.bitmanipulation;
+
+import static org.junit.jupiter.api.Assertions.assertEquals;
+
+import org.junit.jupiter.api.Test;
+
+public class HammingDistanceTest {
+
+    @Test
+    public void testHammingDistance() {
+        assertEquals(3, HammingDistance.hammingDistance(9, 14)); // 1001 vs 1110, Hamming distance is 3
+        assertEquals(0, HammingDistance.hammingDistance(10, 10)); // Same number, Hamming distance is 0
+        assertEquals(1, HammingDistance.hammingDistance(1, 0)); // 0001 vs 0000, Hamming distance is 1
+        assertEquals(2, HammingDistance.hammingDistance(4, 1)); // 100 vs 001, Hamming distance is 2
+        assertEquals(4, HammingDistance.hammingDistance(0, 15)); // 0000 vs 1111, Hamming distance is 4
+    }
+}