Add NumberAppearingOddTimes algorithm (#5633)

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

@@ -0,0 +1,21 @@
+package com.thealgorithms.bitmanipulation;
+
+/**
+ * Find the Number Appearing Odd Times in an array
+ * @author Lakshyajeet Singh Goyal (https://github.com/DarkMatter-999)
+ */
+
+public final class NumberAppearingOddTimes {
+    private NumberAppearingOddTimes() {
+    }
+    public static int findOddOccurrence(int[] arr) {
+        int result = 0;
+
+        // XOR all elements in the array
+        for (int num : arr) {
+            result ^= num;
+        }
+
+        return result;
+    }
+}