# Python Program to Find Product of Two Numbers using Recursion

This is a Python Program to find the product of two numbers using recursion.

Problem Description

The program takes two numbers and finds the product of two numbers using recursion.

Problem Solution

1. Take two numbers from the user.
2. Pass the numbers as arguments to a recursive function to find the product of the two numbers.
3. Give the base condition that if the first number is lesser than the second, recursively call the function with the arguments as the numbers interchanged.
4. If the second number isn’t equal to 0, again call the function recursively, else return 0.
5. Print the final product of the two numbers.
6. Exit.

Program/Source Code

Here is source code of the Python Program to find the binary equivalent of a number using recursion. The program output is also shown below.

```def product(a,b):
if(a<b):
return product(b,a)
elif(b!=0):
return(a+product(a,b-1))
else:
return 0
a=int(input("Enter first number: "))
b=int(input("Enter second number: "))
print("Product is: ",product(a,b))```
Program Explanation

1. User must enter two numbers.
2. The two numbers are passed as arguments to a recursive function to find the product of the two numbers.
3. The base condition that if the first number is lesser than the second, the function is recursively called with the arguments as the numbers interchanged.
4. If the second number isn’t equal to 0, the function is called recursively, else 0 is returned.
5. The final product of the two numbers is printed.

Runtime Test Cases
```
Case 1:
Enter first number: 12
Enter second number: 10
Product is:  120

Case 2:
Enter first number: 12
Enter second number: 11
Product is:  132```

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