Function Multiply & MultiplyRecursive - Python Programming Exercise

In this exercise, you will develop a Python program with two functions, Multiply and MultiplyRecursive, to compute the product of two numbers by using addition. The first function should implement an iterative approach, and the second should use recursion. This exercise is perfect for practicing function definition, loops, recursion, and arithmetic operations in Python. By implementing these functions, you will gain hands-on experience in handling function definitions, loops, recursion, and arithmetic operations in Python. This exercise not only reinforces your understanding of functions but also helps you develop efficient coding practices for managing user interactions.

 Category

Mastering Functions

 Exercise

Function Multiply & Multiplyrecursive

 Objective

Develop a Python program with two functions, Multiply and MultiplyRecursive, to compute the product of two numbers by using addition. The first function should implement an iterative approach, and the second should use recursion.

 Example Python Exercise

 Copy Python Code 
# Function to multiply two numbers using iteration (repeated addition)
def Multiply(x, y):
    # Initialize result to 0
    result = 0
    # Add x to result y times
    for _ in range(abs(y)):
        result += x

    # If y is negative, negate the result
    if y < 0:
        result = -result

    return result

# Recursive function to multiply two numbers using addition
def MultiplyRecursive(x, y):
    # Base case: if y is 0, the result is 0
    if y == 0:
        return 0

    # Recursive case: add x one time and reduce y
    return x + MultiplyRecursive(x, y - 1) if y > 0 else -(x + MultiplyRecursive(x, -y - 1))

# Example usage
x = 5  # First number
y = 3  # Second number

# Call the iterative multiplication function
iterative_result = Multiply(x, y)
print(f"Iterative Multiply({x}, {y}) = {iterative_result}")

# Call the recursive multiplication function
recursive_result = MultiplyRecursive(x, y)
print(f"Recursive Multiply({x}, {y}) = {recursive_result}")

 Output

python multiply.py
Iterative Multiply(5, 3) = 15
Recursive Multiply(5, 3) = 15

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