When it is required to compute a polynomial equation when the coefficients of the polynomial are stored in a list, a simple ‘for’ loop can be used.Below is the demonstration of the same −Example Live Demomy_polynomial = [2, 5, 3, 0] num = 2 poly_len = len(my_polynomial) my_result = 0 for i in range(poly_len):    my_sum = my_polynomial[i]    for j in range(poly_len - i - 1):       my_sum = my_sum * num    my_result = my_result + my_sum print("The polynomial equation for the given list of co-efficients is :") print(my_result)OutputThe polynomial equation for the given list of co-efficients ... Read More

Strong number is a number whose sum of all digits’ factorial is equal to the number ‘n’. Factorial implies when we find the product of all the numbers below that number including that number and is denoted by ! (Exclamation sign), For example: 5! = 5x4x3x2x1 = 120. When it is required to check if a number is a strong number or not, the remainder/modulus operator and the ‘while’ loop can be used.Below is the demonstration of the same −Example Live Demomy_sum=0 my_num = 296 print("The number is") print(my_num) temp = my_num while(my_num):    i=1    fact=1    remainder = my_num%10 ... Read More

A number is said to be a Perfect Number when that is equal to the sum of all its positive divisors except itself. When it is required to check if a number is a perfect number, a simple ‘for’ loop can be used.Below is the demonstration of the same −Example Live Demon = 6 my_sum = 0 for i in range(1, n):    if(n % i == 0):       my_sum = my_sum + i if (my_sum == n):    print("The number is a perfect number") else:    print("The number is not a perfect number")OutputThe number is a perfect numberExplanationThe ... Read More

When it is required to print the pascal’s triangle for a specific number of rows, where the number is entered by the user, a simple ‘for’ loop is used.Below is the demonstration of the same −Example Live Demofrom math import factorial input = int(input("Enter the number of rows...")) for i in range(input):    for j in range(input-i+1):       print(end=" ")    for j in range(i+1):       print(factorial(i)//(factorial(j)*factorial(i-j)), end=" ") print()OutputEnter the number of rows...6       1      1 1     1 2 1    1 3 3 1   ... Read More

When it is required to convert binary code to gray code, a method is defined that performs the ‘xor’ operation.Below is the demonstration of the same −Example Live Demodef binary_to_gray_op(n):    n = int(n, 2)    n ^= (n >> 1)    return bin(n)[2:] gray_val = input('Enter the binary number: ') binary_val = binary_to_gray_op(gray_val) print('Gray codeword is :', binary_val)OutputEnter the binary number: 101100110 Gray codeword is : 111010101ExplanationA method named ‘binary_to_gray_op’ is defined, that takes the binary number as its parameter.It performs the ‘xor’ operation.It returns the converted output.The input of binary number is taken from the user.The function ... Read More

When it is required to convert gray code to binary code, a method is defined, that checks to see if the number is 0 or not.Below is the demonstration of the same −Example Live Demodef flip_num(my_nu):    return '1' if(my_nu == '0') else '0'; def gray_to_binary(gray):    binary_code = ""    binary_code += gray[0]    for i in range(1, len(gray)):       if (gray[i] == '0'):          binary_code += binary_code[i - 1]       else:          binary_code += flip_num(binary_code[i - 1])    return binary_code gray_code = "01101001" print("The gray code ... Read More

When it is required to generate gray codes with the help of recursion, a method is defined, that creates an empty list and appends values 0 and 1 to it. Multiple ‘for’ loops are used to generate the gray code within the function.Below is the demonstration of the same −Example Live Demoimport math as mt def generate_gray_list(my_val):    if (my_val = 1

When it is required to clear the rightmost bit of a number which was previously set, the ‘&’ operator can be used.Below is the demonstration of the same −Example Live Demodef clear_right_bit(my_val):    return my_val & (my_val-1) n_val = 6 print("The vlaue of n is :") print(n_val) print("The number after unsetting the rightmost set bit is ") print(clear_right_bit(n_val))OutputThe vlaue of n is : 6 The number after unsetting the rightmost set bit is 4ExplanationA method is defined that takes an integer as a parameter.It computes the ‘&’ operation between the number and the number decremented by 1.Outside the method, an integer ... Read More

When it is required to search the frequency of a number in a list, a method is defined, that takes a list and the number. It iterates through the list, and every time the number is encountered, the counter is incremented.Below is the demonstration of the same −Example Live Demodef count_num(my_list, x_val):    my_counter = 0    for elem in my_list:       if (elem == x_val):          my_counter = my_counter + 1    return my_counter my_list = [ 66, 26, 48, 140, 66, 20, 1, 96, 86] print("The list is :") print(my_list) occ_number = 66 ... Read More

When it is required to determine the Pythagorean triplets within a given range, a method is defined, that helps calculate the triplet values.Below is the demonstration of the same −Example Live Demodef pythagorean_triplets(limits) :    c, m = 0, 2    while c < limits :    for n in range(1, m) :       a = m * m - n * n       b = 2 * m * n       c = m * m + n * n       if c > limits :          break   ... Read More