A numbering system is a systematic method for representing numbers using a particular set of symbols. The

three most fundamental numbering systems in computer science are the decimal $($base $10),$ Hexadecimal

$($base $16),$ and binary $($base $2)$ systems.

Write a $C++$ program to build a calculator that can convert numbers between the aforementioned numbering

systems, including numbers with fractional parts.

For example, from Hexadecimal $($base $16)$ to binary $($base $2),$ from decimal $($base $10)$ to Hexadecimal $($base

$,$ and so on$.$

Your $C++$ program should give instructions to the user to input the following parameters:

The conversion direction $($decimal to binary or binary to decimal$)$

The number to convert $($including fractional parts if any$)$

Your program should minimally contain the following functions:

bool ValidateInput$($input$\_$number$)$

This function should check if the input consists of legal characters. For example, for decimal numbers, it

should allow digits $0-9$ and one decimal point. For binary numbers, it should only allow $0$ and $1,$ and one

decimal point, $....$etc.

int convert$\_$number$($input$\_$number, source$\_$base, target$\_$base$)$

This function converts any number $($i$.$e$.,$ inpute$\_$number$)$ from one base $($i$.$e$.,$ source$\_$base $)$ to another base

$($i$.$e$.,$ target$\_$base$).$ The function returns: int number $($which is the converted number$).$

Your program should output on the screen a prompt for input parameters, and output the result of converting

a number from one base to another. It should also provide the user with a chance to continue $($or quit$)$ the

calculations at any time.Requirements:

$1.$ The program should handle both integer and fractional parts of numbers.

$2.$ Implement proper input validation to ensure only valid decimal, binary, or hexadecimal numbers are

accepted.

$3.$ The program should continue running until the user chooses to quit. NOTE: PLEASE EXPLAIN EACH PART OF THE CODE STEB BY STEP DONT COPY FROM OTHERS