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B U B T I U P C Bangladesh University of Business & Technology: CSE Fiesta 2010 1 F Floating-Point Numbers Floating-point numbers are represented differently in computers than integers. That is why a 32- bit floating-point number can represent values in the magnitude of 10 38 while a 32-bit integer can only represent values as high as 2 32 . Although there are variations in the ways floating-point numbers are stored in Computers, in this problem we will assume that floating-point numbers are stored in the following way: Floating-point numbers have two parts mantissa and exponent. M-bits are allotted for mantissa and E bits are allotted for exponent. There is also one bit that denotes the sign of number (If this bit is 0 then the number is positive and if it is 1 then the number is negative) and another bit that denotes the sign of exponent (If this bit is 0 then exponent is positive otherwise negative). The value of mantissa and exponent together make the value of the floating-point number. If the
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  • Fall '09
  • Algorithms, floating-point number, Fixed-point arithmetic, floating-point numbers

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