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Assgn1_Summer11 - CSc230 January 2009 Assignment 1 Part...

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CSc230 January 2009 Page 1 Assignment 1 – Part 2 [90 Points] Due 4pm, Monday May 30 C Programming Problem You are asked to program C functions which perform arithmetic operations on integers in an arbitrary base number system. The base can be any value from 2 up to 36. The operations are compare, addition, subtraction and multiplication. Problem Specifications You are provided with code for a C program which reads pairs of base- k numbers and then, depending on the operator read previously, calls functions to compare, add, subtract or multiply them together, printing the result. An example input to the program might be as shown in Figure 1. #16 + 123AF9 00FF #2 ? +101 +10 - +1010011 -110111 * -100 -101 Figure 1: Sample Program Input The input “ #16 ” sets the number system base to 16 for subsequent input and calculations and stays in effect until the base is changed again. A line that requests a calculation begins with a ‘?’, ‘ + ’, ‘ - ’ or * ’ operator and is followed by two numbers. Each number can begin with an optional ‘ + ’ or ‘ - ’ sign and continues with a sequence of one or more digits. Each digit must be valid for the current number system base. The program can handle any base from 2 up to 36. If the base is 36, then the digits of this number system are written as ‘0’, ‘1’ ... ‘9’, ‘A’, ‘B’, ... ‘Z’. If the base is k (2 k 36), then the first k characters in that sequence are used as the digits. Your task is to program the compare, add , subtract and multiply functions. The supplied code provides only dummy definitions for these three functions. The overall structure has been done for you. The result of running your program on the input of Figure 1 should be output very similar to that shown in Figure 2 (except, of course, that it should be your own name and student number printed in the first line).
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CSc230 January 2009 Page 2 CSc230, assignment 1 part 2, Sheldon Cooper (V0012345) base = 16 123AF9 + FF = 123BF8 base = 2 101 > 10 1010011 - -110111 = 10001010 -100 * -101 = 10100 End of input Figure 2: Expected Program Output (using input of Figure 1) Programming Help The Representation of a Base- k Number A base- k number is implemented in the supplied code by the type NumberType , defined as a C struct using the following declaration: typedef struct { char negative; // non-zero => negative, zero => positive char digit[MAXDIGITS]; // the sequence of base k digits } NumberType; The identifier MAXDIGITS is a preprocessor constant. The supplied code defines it as 16, but it could, in principle, be re-defined as any value greater than 1. After seeing the declaration for NumberType , the C compiler will treat it as being the name of a new datatype which can be used for declaring variables in the program. The first field of the struct, negative , holds the value 0 if the number is positive and any non-zero value if it is negative (but the value 1 will normally be used as that non-zero value). Note that the C datatype char is one byte in size and is commonly used for holding small integers as well as for ASCII character codes.
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