EIT Computer Science and Numerical Methods

Question 1

What is the result of binary addition 1011 + 0101?

Accepted Answer

10000

Answer

1111

Answer

1110

Answer

10001

Question 2

The Newton-Raphson method is primarily used for:

Accepted Answer

Finding roots of nonlinear equations

Answer

Numerical integration

Answer

Solving systems of differential equations

Answer

Matrix inversion

Question 3

What is the time complexity of the binary search algorithm?

Accepted Answer

O(log n)

Answer

O(n)

Answer

O(n²)

Answer

O(n log n)

Question 4

In numerical methods, the trapezoidal rule is used to approximate:

Accepted Answer

Definite integrals

Answer

Derivatives of functions

Answer

Eigenvalues of matrices

Answer

Roots of polynomials

Question 5

Which data structure operates on a Last-In-First-Out (LIFO) principle?

Accepted Answer

Stack

Answer

Queue

Answer

Linked list

Answer

Binary tree

Question 6

Round-off error in numerical computation refers to:

Accepted Answer

Loss of precision when representing decimals in finite binary storage

Answer

Integer overflow

Answer

Truncation of an infinite series

Answer

Division by zero