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numerical methods 4. A floating point system (8.t, L.U) = (4,5, -2,3) 2 (1). Determine the...
1. [20 marks) The following problems are about floating point sys- tem and floating point representation of a real number. as follows: A toy floating point system is given (B, t, L, U)= (4, 3,-1, 3) (1). [5 marks] Determine the number of distinct positive numbers can be represented by the system; (2). [4 marks] Determine the largest positive number and the small- est positive number the system can be represented by the system and give their decimal values; (3)....
4. Consider a normalized floating point number system with b = 2, p = 3, L = –2 and U = 2. (a) Find how many different numbers can be represented in this system. (b) Compute the underflow and overflow levels for the system, as well as its machine precision. (c) Plot all the numbers in this system in a horizontal line (in decimal format) Using Matlab.