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Please read the following instructions. In a new Eclipse project create a program that will do three things. First: Ask the user for a four

Please read the following instructions. In a new Eclipse project create a program that will do three things.

First: Ask the user for a four digit integer. Then find the largest digit in that number and determine the smallest base that will work with it. This can be done by using IF-THEN-ELSE statements. Calculate the base indicator by adding 1 the the largest digit. Using that base indicator return the decimal value of the user inputted number. (Note: You may assume that the user will enter in a valid input.) Some things to consider about numbers and bases. The largest single digit that can be represented in a base is base 1. So the largest single digit that could be represented in base 2 is 1. This is true as base 2 only contains the digits 1 and 0. The largest single digit that can be represented in base 5 is 4. This is true as base 5 only contains the digits 0, 1, 2, 3, and 4. Our numbering system uses positional valuing when representing a number. So in base 10 the number 1239 has a value of 1 times a thousand plus 2 times a hundred plus 3 times ten plus 9 or one thousand two hundred thirty nine. Another way of saying that is the value of a number is the individual value of each digit times that digits positional value summed across all of the numbers digits. So 1239 is 1 times (10 to the 3rd power) plus 2 time (10 to the 2nd power) plus 3 time (10 to the 1st power) plus 9 times (10 to the 0th power). This same system holds for all of the base systems. The smallest base that would work with 1234 is base 5. Its value in base 10 would be 1 times (5 to the 3rd power) plus 2 times (5 to the 2nd power) plus 3 times (5 to the 1st power) times 4 times (5 to the 0th power) or 194 base 10. You can use the Math.pow(base,power) method which returns the value of base raised to the power or base times itself power times. example:

Please enter a 4 digit number: 1234 The smallest base that 1234 can be represented in is base 5 and has the base 10 value of 194

programming language is Java, doesn't use modules, specifically uses strings and conditional statements

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