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INTRODUCTION TO SCIENTIFIC COMPUTING

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Presentation on theme: "INTRODUCTION TO SCIENTIFIC COMPUTING"— Presentation transcript:

1 INTRODUCTION TO SCIENTIFIC COMPUTING

2 Given the f (x) vs x curve, and the magnitude of the areas as shown, the value of
y x a 5 7 2 b c -2 2 12 Cannot be determined

3 A steel cylindrical shaft initially at room temperature is immersed in a dry-ice/alcohol bath. A layman estimates the reduction in diameter by using The layman uses value of the thermal expansion coefficient at -108oF in the above formula. Seeing the graph on your right, the magnitude of contraction you would calculate instead will be ______________than the layman’s estimate. Less More Same 30

4 The number of significant digits in 2.30500 is
4 5 6 7

5 The absolute relative approximate error in an iterative process at the end of the tenth iteration is 0.007%. The least number of significant digits correct in the answer is 2 3 4 5 7

6 The number 6.749832 with 3 significant digits with chopping is
6.75 6.749 6.750

7 The binary representation of (0.3)10 is
( ……...)2 ( ……...)2 ( ……...)2 ( ……...)2

8 In a five bit fixed representation, (0. 1)10 is represented as (0
In a five bit fixed representation, (0.1)10 is represented as ( )2. The true error in this representation most nearly is 9.5×10-8

9 add 7 subtract 7 add 15 subtract 15
Five bits are used for the biased exponent. To convert a biased exponent to an unbiased exponent, you would add 7 subtract 7 add 15 subtract 15

10 The largest positive number in a 7 bit word where st bit is used for the sign of number nd bit is used for the sign of exponent next 3 bits are used for the magnitude of the mantissa last 2 bits are used for the magnitude of the exponent is _________ 1.875 4 7 15


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