Theory of Computation and Computer Graphics
NEC Computer Engineering · 2,497 practice MCQs
The 'Theory of Computation and Computer Graphics' chapter is integral for aspiring engineers preparing for the NEC licensing exam. It encompasses essential concepts such as transformation matrices, image formats, and display processors.
Understanding this chapter is crucial as it forms the foundation for advanced topics in computer engineering. To prepare effectively, practice the 2497 MCQs available, focusing on key areas like orthogonal transformations and the implications of frame buffer depth.
Sample questions with answers
1.Which of the following transformation matrices is orthogonal?
- A.Reflection
- B.Rotation
- C.Shearing
- D.Scaling
Why: The rotation transformation matrix is orthogonal because it preserves the lengths and angles of vectors, maintaining the geometric properties of the object being transformed.
2.Which characteristic does NOT change during a translation?
- A.Size of the object
- B.Orientation of the object
- C.Shape of the object
- D.All of the above
Why: During a translation, the object's position changes, but its size, orientation, and shape remain unchanged, which is why 'All of the above' is correct.
3.What is correct regarding the homogeneous composite transformation matrix?
- A.It is a diagonal matrix
- B.It is consistently 4×4
- C.It is not invertible
- D.It is a type of orthogonal matrix
Why: The homogeneous composite transformation matrix is consistently 4×4 because it allows for the representation of both linear transformations and translations in a unified format.
4.Which image format implements run-length encoding?
- A.JPEG
- B.SVG
- C.BMP (uncompressed RLE)
- D.PNG
Why: The BMP format implements run-length encoding (RLE) because it compresses data by storing sequences of the same value, which is a characteristic of RLE.
5.What is the main function of a display processor?
- A.Manage input devices
- B.Keep Z-buffer data
- C.Free the CPU from graphics work
- D.Handle cache management
Why: The main function of a display processor is to free the CPU from graphics work, allowing the CPU to perform other tasks while the display processor handles rendering.
6.The depth of the frame buffer directly influences:
- A.Gamma adjustment
- B.Image clarity
- C.Screen refresh rate
- D.Color depth
Why: The depth of the frame buffer directly influences color depth because it determines how many bits are used to represent the color of each pixel, affecting the range of colors displayed.
7.In perspective, moving the far plane further away:
- A.Reduces the number of vanishing points
- B.Increases the loss of depth precision
- C.Has no impact
- D.Increases foreshortening effect
Why: Moving the far plane further away increases the loss of depth precision because it reduces the resolution of depth information, making it harder to distinguish between objects at varying distances.
8.Which statement is accurate?
- A.Multi-track Turing machine is less powerful than finite automaton
- B.Multi-tape Turing machine offers polynomial speed improvement
- C.Multi-track Turing machine is always the same as multi-tape Turing machine
- D.Multi-tape Turing machine recognizes more languages
Why: A multi-tape Turing machine offers polynomial speed improvement because it can read and write on multiple tapes simultaneously, allowing for more efficient processing than a single-tape machine.
9.A PDA that has no stack is equivalent to:
- A.FA
- B.TM
- C.CFG
- D.BNF
Why: A PDA with no stack is equivalent to a finite automaton (FA) because it can only recognize regular languages, which is the same capability as an FA.
10.What decides the resolution of a raster display system?
- A.Color depth
- B.Refresh rate
- C.Gamma adjustment
- D.Count of pixels in frame buffer
Why: The resolution of a raster display system is determined by the count of pixels in the frame buffer, as more pixels allow for a higher resolution image.
11.What is the primary benefit of integrating CAD and CAM?
- A.Designing products and making them
- B.Creating vector images
- C.Rendering videos
- D.Making digital art
Why: The primary benefit of integrating CAD and CAM is designing products and making them, as it streamlines the process from design to manufacturing.
12.What does the trace of a 2D rotation matrix equal?
- A.2 cosθ
- B.cosθ + sinθ
- C.1
- D.0
Why: The trace of a 2D rotation matrix equals 2 cosθ because the trace is the sum of the diagonal elements, which for a rotation matrix is 2 times the cosine of the angle of rotation.
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Frequently asked questions
- What types of questions can I expect from this chapter?
- You can expect multiple-choice questions on transformation matrices, image formats, and display processors.
- Why is understanding transformation matrices important?
- Transformation matrices are fundamental in computer graphics for manipulating objects in 2D and 3D space.
- How does the frame buffer depth affect graphics?
- The depth of the frame buffer influences the color depth and overall image quality displayed on screen.
- What is the significance of homogeneous composite transformation?
- It allows for the combination of multiple transformations into a single matrix, simplifying calculations.
- Which image format uses run-length encoding?
- The BMP image format implements run-length encoding for efficient data compression.