Program 1 (40 points) BinaryConversion.java

Consider the following dialog:

Enter a binary number: 1110

Conversion to decimal: 14

Enter a binary number: 10010000

Conversion to decimal: 144

Enter a binary number: -1

All set !

Write the application implied above. In particular, the program will read a sequence of binary strings and convert each one to a decimal integer. The program will terminate when the string -1 is given. You must do the conversion by hand, and NOT use the predefined functions in Java for the wrapper class Integer.

You must use a function for the conversion to decimal, where the parameter to the function is the binary string, and the return value is the equivalent decimal integer.

public static int binaryToDecimal (String binaryString)