diff --git a/algorithms/bit_manipulation/fast_exponention.py b/algorithms/bit_manipulation/fast_exponention.py
new file mode 100644
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+++ b/algorithms/bit_manipulation/fast_exponention.py
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+# Fastest Exponention using Bit Manipulation.
+
+'''
+Convert the integer n into binary form and follow the steps below: 
+
+1.Initialize result with 1 to store   a^n.
+
+2.Traverse until n > 0 and in each iteration, perform Right Shift operation on it.
+
+3.Also, in each iteration, multiply a with itself and update it.
+
+4.If current LSB is set, then multiply current value of a to result.
+
+5.Finally, after completing the above steps, print result.
+
+'''
+def fastExponention(a, n):
+    result = 1
+    while (n > 0): 
+        last_bit = (n & 1)
+        # Check if current LSB  
+        # is set  
+        if (last_bit):  
+            result = result * a 
+        a = a * a 
+        # Right shift  
+        n = n >> 1
+    return result
+if __name__ == '__main__': 
+    a = int(input("enter the value of base:"))
+    n = int(input("enter the value of exponent:"))
+    print(fastExponention(a,n)) 
+    
+    
+