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3. A machine uses 40-bit floating point representation. S11-bit Exponent(E) 28-bit Significand(M) The value is given by V = (- 1)SIM 2E-1023 Assuming that there
3. A machine uses 40-bit floating point representation. S11-bit Exponent(E) 28-bit Significand(M) The value is given by V = (- 1)SIM 2E-1023 Assuming that there are no special bit patterns reserved (a) Write down the value represented by the bit pattern c06f800000 (hex) (b) Write down the bit pattern representing the value 25.3125. (c) Write down the largest positive number that can be represented (d) Write down the smallest positive number other than zero that can be repre- sented. 4. (a) The n-th term of Fibonacci number fn is defined as fn= fn-1 + fn-2 Explain why when you write a program which uses integer to store the Fi- bonacci number, you will get the following result: f45 = 1134903170, f46 183631 1903 and f47-1323752223 ? (b) What is the relation between range and precision in floating point number representation
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