EIT Computer Science and Numerical Methods 2

Question 1

In hexadecimal, what is the decimal value of FF?

Accepted Answer

255

Answer

200

Answer

240

Answer

256

Question 2

The central difference approximation for the first derivative f'(x) is:

Accepted Answer

[f(x+h) - f(x-h)] / (2h)

Answer

[f(x+h) - f(x)] / h

Answer

[f(x) - f(x-h)] / h

Answer

[f(x+h) + f(x-h)] / (2h²)

Question 3

The 4th-order Runge-Kutta method is primarily used to numerically solve:

Accepted Answer

Ordinary differential equations with initial conditions

Answer

Systems of linear algebraic equations

Answer

Eigenvalue problems for matrices

Answer

Partial differential equations with boundary conditions

Question 4

When the Newton-Raphson method converges near a simple root, its rate of convergence is:

Accepted Answer

Quadratic

Answer

Linear

Answer

Cubic

Answer

Sub-linear

Question 5

What is the result of the bitwise AND of binary 1100 and 1010?

Accepted Answer

1000

Answer

1110

Answer

0110

Answer

1111

Question 6

In floating-point arithmetic, round-off error arises from:

Accepted Answer

The limited precision of floating-point number representation

Answer

Approximating an infinite series with a finite number of terms

Answer

Using incorrect boundary conditions in a simulation

Answer

Choosing a step size that is too large in numerical integration

Question 7

A queue data structure follows which access principle?

Accepted Answer

FIFO — First In, First Out

Answer

LIFO — Last In, First Out

Answer

FILO — First In, Last Out

Answer

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