A number of the form a+ib, where i squared =-1 , and a and b are real numbers, i

Question

A number of the form a+ib, where i squared =-1 , and a and b are real numbers, is called a complex number. We call a the real part and b the imaginary part of a +ib. complex numbers can be also represented as ordered pairs(a,b) The additional, multiplication, conjugates and division of complex numbers is defined by the following rules:
1 (a+ib)+(c+id) = (a+c)+i(b+d)
2 (a+ib) *(c+id) = (ac-bd) + i (ad+bc)
3 a + ib = a –ib
4 (a+ib)/(c+id) = (ac+bd)/(c squared + d squared) +i (bc-ad)/(c squared + d squared)

C++ has no built in data type that allows u to manipulate complex numbers. Write a c++ program without creating a user defined type complex that can be used to process complex numbers. Break down the problem into small subtasks, and implement each subtask as separate function,

Explanation / Answer

BINARY OPERATOR AIM: A program to perform simple arithmetic operations of two complex numbers using operator overloading. ALGORITHAM: • Start the process • Get the complex value a.real and a.image • Check while ((ch=getchar())!=’q’) o True : execute switch(ch) o Case ‘a’:Then Compute cb.imag; menu(); while ((ch = getchar()) != 'q') { switch(ch) { case 'a':c =a + b; cout

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