please code in python 1).  Multiplication using Addition Write a function: mul(a,b) that will compute and return the product of two positive integers a and b using only a for loop and the addition operator ( + ).    Then, write a new function mul2(a,b) that does the same thing, but uses a while loop rather than a for loop.     2).  Exponentiation using Multiplication Write a function expo(x,y) that computes and returns the exponent xy using only a loop and the multiplication operator.   Then, adjust it so that rather than using the multiplication operator, it uses one of the multiplication functions you wrote in part 1.   Hints: xy is equal to (x * x * x * x ... x), y times. When you’re computing a sum using a loop, you start at 0, since anything + 0 is itself. When you’re computing a product using a loop, you start at ?, since anything * ? is itself (fill in the ?). If you wrote your mul function from part 1 correctly, then the following two lines should have the same effect, so you can use one to replace the other. var = foo * bar var = mul(foo, bar)

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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please code in python

1).  Multiplication using Addition

Write a function: mul(a,b) that will compute and return the product of two positive integers a and b using only a for loop and the addition operator ( + ). 

 

Then, write a new function mul2(a,b) that does the same thing, but uses a while loop rather than a for loop.

 

 

2).  Exponentiation using Multiplication

Write a function expo(x,y) that computes and returns the exponent xy using only a loop and the multiplication operator.

 

Then, adjust it so that rather than using the multiplication operator, it uses one of the multiplication functions you wrote in part 1.

 

Hints:

  • xy is equal to (x * x * x * x ... x), y times.
  • When you’re computing a sum using a loop, you start at 0, since anything + 0 is itself. When you’re computing a product using a loop, you start at ?, since anything * ? is itself (fill in the ?).
  • If you wrote your mul function from part 1 correctly, then the following two lines should have the same effect, so you can use one to replace the other.
    • var = foo * bar
    • var = mul(foo, bar)
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