Suppose you are designing a programming language that provides support for complex numbers such that

the programmer can use the complex number data objects in the same way as the programmer uses any

elementary data type of the language. Answer the following to explain how you will provide such facility in

the language.

$($a$)$ Give the specifications along with the corresponding syntax for the declaration of the complex number

data type so that all specifications are met.

$($b$)$ If the programmer now writes a

$x=A+B*C$

where $A,B,$ and $C$ are all complex numbers, can the expression be evaluated by any of the simple

postfix evaluation technique of integer type numbers? If not give the details of how you will design

your language to facilitate such implementation hidden from the user of the language. $[$Hint: Give the

detailed implementation of the operations and final result generation using subprogram facilities of a

language keeping in mind you have to handle intermediate results$]$