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4. In the seventeenth century, Location Numerals were invented as a new way to represent numbers. Location Numerals have a lot in common with the

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4. In the seventeenth century, Location Numerals were invented as a new way to represent numbers. Location Numerals have a lot in common with the binary number,system we use today, that tio Numerals, successive letters of the alphabet are used to represent the powers of two, starting with an the way to Z=225. To represent a given number as a Location Numeral (L.N), the number is expressed as the sum of powers of two with each power of two replaced by its corresponding letter A=2 B=21 E 2 and so on Let's consider the decimal number 19. 19can be expressed as a sum of powers oftwo like this: 16+2+1. So 19 would be written in binary like this: 10011. . we can covert 19 to L notation by choosing the letters that correspond with le EBA. Since changing the order of the letters does not change their value, INsull written in alphabetical order: ABE Here are a few more examples. Base 10 Sum of Powers Binary LN Ordered 74+2+12 1 CBA ABC EA DC AE CD 16+1=24 + 2 10001 17 12 1100 8+4 2 +22 A partial Locationtuneral class is shown below. publie elan, Locationsuneral /Returns the decimal value of a single at letter letter @param letter string containing a single return the decimal value of that letter Precondition: the paraneter containa a single uppercase letter publie int getlettervalue(String letter) String letters "ABCDEFGHIJKLNNOPORSTUVEY /. to be implemented in part (a) /* Return the Location Nuneral letter representation for a * decimal value that is a power of two. . sparam the decima1 value to be converted to a Location Numeral letter areturn the corresponding Location Mumeral letter Precondition: The paraneter must be an integer power of two between 2 raised to the power 0 and 2 raised to the power 25. public String getLetter(int value) / implementation not ahown ) GO ON TO THE NEXT RA

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