For this lab you will write a Java program that manipulates numbers. The program will ask the user to enter a binary number (or an empty line to quit) and then convert that number from base 2 into base 10 (decimal) and display the result. The program will loop until the user enters an empty line to end the program. For this assignment you must start with the following "skeleton" of Java code. Import this into your Eclipse workspace and fill in the methods as directed. Feel free to add any methods you find useful, but make sure that you add comments indicating what they do following the form of the rest of the comments in the code.

Converting from Binary to Decimal

To convert from a binary to a decimal representation, your code will need to take into account the place of each digit in the binary string. One algorithm for performing this conversion is:

Start with a value of 0 for your decimal number

Assign a value n to be the power of the leftmost digit in your representation (HINT: this will be the length of the string - 1)

For each digit in your binary representation, working from left to right

Multiply the digit by your 2ⁿ

Add that result to your decimal total

Subtract 1 from n

Repeat until all digits have been processed

Here's an example of the number 1011 converted to a decimal number by applying the algorithm above

Start with result = 0, n = 3

At index 3

Multiply 1 by 2³ = 8

result = 0 + 8 = 8

n = 2

At index 2

Multiply 0 by 2² = 0

result = 8 + 0 = 8

n = 1

At index 1

Multiply 1 by 2¹ = 2

result = 8 + 2 = 10

n = 0

At index 0

Multiply 1 by 2⁰ = 1

result = 10 + 1 = 11

n = -1

Our final result is 11

Skeleton:

/** * Project09.java * * A program that converts binary numbers into decimal numbers. * Used to practice breaking code up into methods. * * @author YOUR NAME HERE */ package osu.cse1223; import java.util.Scanner; public class Project09 { public static void main(String[] args) { //TODO: Fill in body } /** * Given a Scanner as input, prompt the user to enter a binary value. Use * the function checkForBinaryValue below to make sure that the value * entered is actually a binary value and not junk. Then return the value * entered by the user as an String to the calling method. * * @param input * A scanner to take user input from * @return a String representing a binary value read from the user */ public static String promptForBinary(Scanner input) { // TODO: Fill in body } /** * Given a String as input, return true if the String represents a valid * binary value (i.e. contains only the digits 1 and 0). Returns false if * the String does not represent a binary value. * * @param value * A String value that may contain a binary value * @return true if the String value contains a binary value, false otherwise */ public static boolean checkForBinaryValue(String value) { // TODO: Fill in body } /** * Given a binary value, return an int value that is the base 10 * representation of that value. Your implementation must use the algorithm * described in the Project 9 write-up. Other algorithms will receive no * credit. * * @param value * A String containing a binary value to convert to integer * @return The base 10 integer value of that binary in the String */ public static int binaryToDecimal(String value) { // TODO: Fill in body } }