Java code

1. Design a class ComplexNo that allows you to add, subtract, multiply and divide two complex numbers. Recall that a complex number is: a + bi, where a, b are real numbers and i =- Note: to divide 2 complex numbers: (a + bi / c + di), multiply the fraction by 1 in the form of (c di / c di). The numbers c di and c + di are called conjugates because their product is always c² + d², with no imaginary part.

Provide (in addition to add, subtract, multiply, and divide methods) a method for equals (which returns boolean), and toString( ) method (that returns a string representing the receiving object). Throw an exception if an attempt is made to divide by 0 (0 + 0i). Your implementation should return the results of each operation WITHOUT changing the operands.

Prompt the user for two imaginary numbers, a + bi and c + di, then compute: the sum of the two, the first minus the second, the product of the two, and the first divided by the second. Sample outputs:

Enter the first complex number's real part => 1.0

Enter the first complex number's imaginary part => -1.0

Enter the second complex number's real part => -1.0

Enter the second complex number's imaginary part => 1.0

complex number 1: 1.000000 - 1.000000i

complex number 2: -1.000000 + 1.000000i

the numbers are equal? false

add result: 0.000000

subtract result: 2.000000 - 2.000000i

multiply result: 2.000000i

divide result: -1.000000

Enter the first complex number's real part => 1.0

Enter the first complex number's imaginary part => 1.0

Enter the second complex number's real part => 0.0

Enter the second complex number's imaginary part => 0.0

complex number 1: 1.000000 + 1.000000i

complex number 2: 0.000000

the numbers are equal? false

add result: 1.000000 + 1.000000i

subtract result: 1.000000 + 1.000000i

multiply result: 0.000000

cannot divide by 0