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mn (15 pts) 2. A certain microcomputer uses a binary floating-point format with 4 bits for the exponent contains 4 bits. The arithmetic e and 1 bit for the sign σ. The normalized mantissa uses rounding. (a) Find the machine epsilon, i.e., the distance between 1 and the next larger floating- point number. (b) Let x = (7.125)10. Find its floating-point approximation f (x). Give f (x) in deci- mal. (c) What is the relative error in fl(x)

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Original mantissa-Mantissa in fl(x) =0.1 1001-0.1100-0.00001 Relative error-0.00001 »

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