Test Of Bs V Evening Course: Math305, Numerical Analysis 1, Chapter 1

15 Questions | By Fizazafar.bzu | Last updated: Oct 9, 2020 | Total Attempts: 373

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Test Of Bs V Evening Course: Math305, Numerical Analysis 1, Chapter 1

The contents of the test are from Chapter 1: Computer Arithmetic. There are 15 MCQs in the test. All MCQs are compulsory. The duration is 25 minutes.

Questions and Answers

1.

Truncation error is caused by approximating
- A.
  
  Irrational numbers
- B.
  
  Fractions
- C.
  
  Rational Numbers
- D.
  
  Exact mathematical procedures or infinite process in finite.
2.

True error is defined as
- A.
  
  Present Approximation – Previous Approximation
- B.
  
  True Value – Approximate Value
- C.
  
  Abs (True Value – Approximate Value)
- D.
  
  Abs (Present Approximation – Previous Approximation)
3.

The number 0.01850*10^3 has ________ significant digits
- A.
  
  3
- B.
  
  5
- C.
  
  4
- D.
  
  6
4.

A computer that represents only 4 significant digits with chopping would calculate 66.666*33.333 as
- A.
  
  2220
- B.
  
  2221
- C.
  
  2221.17778
- D.
  
  2222
5.

In single precision, the number of bits available to store an integer are
- A.
  
  31
- B.
  
  23
- C.
  
  24
- D.
  
  63
6.

The result of rounding the number 1.5856 to two significant digits is:
- A.
  
  1.59
- B.
  
  1.5
- C.
  
  1.6
- D.
  
  1.58
7.

In single precision, the smallest positive number that can be stored is
- A.
  
  2^(-127)
- B.
  
  1.2*10^(-37)
- C.
  
  0
- D.
  
  2^(-126)
8.

In double precision, the largest exponent corresponds to
- A.
  
  255
- B.
  
  2046
- C.
  
  C-127
- D.
  
  C-1023
9.

In single precision, the largest number that can be stored is
- A.
  
  2^127
- B.
  
  (2-2^(-24))*2^127
- C.
  
  (2-2^(-52))*2^126
- D.
  
  3.4*10^(38)
10.

In double precision, what is the smallest number that can be stored?
- A.
  
  (2-2^(-52))*2^127
- B.
  
  2^(-1022)
- C.
  
  -1.8*10^(308)
- D.
  
  (2-2^(-52))*2^1023
11.

Which of these numbers will overflow to infinity in 32 bit word length computer?
- A.
  
  10^(40)
- B.
  
  1.2*10^(-38)
- C.
  
  3.4*10^(38)
- D.
  
  2^(120)
12.

Which of these numbers will underflow to zero in 64 bit word length computer?
- A.
  
  2.2*10^(-308)
- B.
  
  10^(-333)
- C.
  
  1.8*10^(308)
- D.
  
  2^(-1022)
13.

Which of these numbers will overflow to negative infinity in a 32 bit word length computer?
- A.
  
  7*10^(41)
- B.
  
  -4*10^(39)
- C.
  
  10^(-40)
- D.
  
  -3.4*10^(38)
14.

What is the upper bound of relative round off error for a 64 bit word length computer?
- A.
  
  2^(-23)
- B.
  
  2^(-24)
- C.
  
  2^(-52)
- D.
  
  2^(-51)
15.

How many significant digits will be lost in calculating y=x-sin(x) for x=1/15 with a calculator having 9 decimal digits of memory?
- A.
  
  9
- B.
  
  0
- C.
  
  4
- D.
  
  3