Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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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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