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Unformatted text preview: Single Precision Double Precision 2 Electrical and Computer Engineering Page 4 of 5 UAH CPE 431/531 Chapter 3 (4 th Ed.) 3.6 Floating Point More of the Story IEEE 754 Floating Point Standard Adding a bias to the exponent simplifies sorting The leading one is implicit Representation expanded Example: Represent -0.75 in single and double precision Electrical and Computer Engineering Page 5 of 5 UAH CPE 431/531 Chapter 3 (4 th Ed.) 3.7 Parallelism and Computer Arithmetic: Associativity Because floating-point numbers are approximations of real numbers and because computer arithmetic has limited precision, associativity does not hold for floating-point numbers. x = -1.5 10 x 10 38 , y = 1.5 10 x 10 38 , z = 1.0...
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- Fall '09