Write a C++ program to perform number base conversion, specifically with Base 2 and Base 10. Your program should meet the following functional requirements:

• Receive user input in Base 10
• Receive user input in Base 2 (receive only 1s and 0s)
• Output the user input in Base 10 along with the conversion to Base 2
• Output the user input in Base 2 along with the conversion to Base 10
• Continue this process while the user input in Base 10 is nonnegative

Implementation requirements:

• Implement and invoke 3 functions
  • Base 10 to Base 2
  • Base 2 to Base 10
  • Input of Base 2 value to enforce the entry of only 1s and 0s