Question: (15 pts) 2. A certain microcomputer uses a binary floating-point format with 4 bits for the exponent e and 1 bit for the sign o.

 (15 pts) 2. A certain microcomputer uses a binary floating-point format

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

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