Computational Methods in Engr assignments 1. In double precision, (a) how many b

Question

Computational Methods in Engr assignments

1. In double precision, (a) how many bits are used to store the exponent. (0.25 pts) Answer: i. can you briefly explain the reason(s) behind using a bias instead of assigning the first bit to the the sign in the binary representation of the exponent. (0.50 pts) (b) how many bits are used to store the mantissa. (0.25 pts) Answer: 2. What are the origins of round-off and truncation errors. How can we minimize these errors. (0.75 pts) 3. What is machine precision and why is this quantity so important. (0.75 pts)

Explanation / Answer

Q 1

(a)- 11 bits are used to store a exponent

(b) - 53 bits are used to store a mantissa

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