D-4: Using loop commands with Python operators
Assignment 4 – A. Simple Squares
Write a program to print squares and square roots of all numbers from 1 to 81 using the “while loop.” On each line print a number, its square, and its square root. Sample output:
x=1, square=1, sqrt=1
x = 2, square = 3, sqrt = 1.4142135623730951
Assignment 4 – B. Multiplication
Write a program that executes the multiplication of two numbers entered by the user using only the addition operation. For example, if the user enters 3 and 4, the program computes the multiplication of these numbers by adding the number 4 three times (i.e., 3 * 4 = 4 + 4 + 4).
Assignment 4 – C. Stars
Write a program that prints a diagram of the function 2n, as follows.
* ** **** ******** **************** ******************************** **************************************************************** ******************************** **************** ******** **** ** *
Write the program using two sets of loops – one for the top part of the output and another for the bottom part of the loop. You can use two ‘*’ characters – once in each loop.
Assignment 4 – D. Fibonacci Number
Write a program to compute the Nth Fibonacci number. Fibonacci numbers are defined as follows:
fo = 0
f1 = 1
fk = fk-1 + fk-2
where fi is the ith Fibonacci number.
Hint:
If N is 0, your program should output 0
If N is 1, your program should output 1.
If N is greater than 1, then write a loop to calculate the Nth Fibonacci number as follows:
Create two variables and initialize fibA = 0 and fibB = 1.
Write a loop that iterates from 1 to N using the for loop and range function. Inside the loop:
- Calculate fib = fibA + fibB
- Update fibB = fibA
- Update fibB = fib
