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Create Binary Exponentiation #2

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32 changes: 32 additions & 0 deletions M-MathematicalAlgorithms/Binary Exponentiation
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#include<bits/stdc++.h>
using namespace std ;

// Binary Exponentiation ..
long long binpow(long long a, long long b) {

long long res = 1;
while (b > 0) {
if (b & 1)
res = res * a;
a = a * a ;
b >>= 1;
}
return res;
}

int main(){
int num , pow ;
cout << "Enter the Number = " << "\n" ;
cin >> num ;
cout << "Enter the Power = " << "\n" ;
cin >> pow ;
long long res = binpow(num,pow);
cout << "Result = " << res ;

}
Time Complexity :- O(logn)
Space Complexity :- O(1)
Test case :-
2 4
Result :-
16