A C$++$ program to convert $5-$digit numbers from binary to decimal. In this assignment, you will expand on that program so that it can calculate binary numbers of unlimited size. Prompt the user for $1$s and $0$s until they enter a $-1.$ For each digit entered of the binary number, perform the part of the conversion that number represents $($you will need to keep track of which digit position you are currently converting$).$ After the user enters $-1,$ display the converted binary number.

Input Validation

You will need to ensure that the digits provided by the user are either $1,0,$ or $-1$ and that the user hasn't caused input failure. If there is a problem with the input, you will need to take appropriate action and re$-$prompt for new data.

Sample Output

Welcome to the binary number converter $2\mathrm{.}0.$

You will enter a binary number $1$ digit at a time starting at the right and the program will convert the number to decimal.

Enter the $1$st binary digit $($Enter $-1$ to complete the conversion$)$: $0$

Enter the $2$nd binary digit $($Enter $-1$ to complete the conversion$)$: $1$

Enter the $3$rd binary digit $($Enter $-1$ to complete the conversion$)$: $2$

A binary digit can only be a $1$ or $0.$

Enter the $3$rd binary digit $($Enter $-1$ to complete the conversion$)$: $1$

Enter the $4$th binary digit $($Enter $-1$ to complete the conversion$)$: a

You entered something that is not a number.

Enter the $4$th binary digit $($Enter $-1$ to complete the conversion$)$: $1$

Enter the $5$th binary digit $($Enter $-1$ to complete the conversion$)$: $0$

Enter the $6$th binary digit $($Enter $-1$ to complete the conversion$)$: $-1$

Your number in decimal is $14$