Data Representation Quiz

What is the binary number system, and why is it used in computing?

• A system based on 10 digits, used for simplicity.

• A system based on 2 digits (0 and 1), used because computers operate using two states (on/off).

• A system based on 16 digits, used for compact representation.

• A system based on 8 digits, used for faster calculations.

Convert the decimal number 25 into its binary equivalent.

• `11001`

• `10101`

• `11111`

• `10011`

Convert the binary number `1101` into its decimal equivalent.

• 10

• 13

• 15

• 12

What is the hexadecimal number system, and how does it relate to binary?

• A system based on 10 digits, unrelated to binary.

• A system based on 16 digits, where each digit represents 4 binary bits.

• A system based on 8 digits, used for encryption.

• A system based on 2 digits, used for simplicity.

Convert the hexadecimal number `A3` into its binary equivalent.

• `10100011`

• `11010011`

• `10100111`

• `10101010`

Why is hexadecimal often used to represent binary data in a more compact form?

• It uses fewer digits than binary to represent the same value.

• It is easier for humans to read and understand.

• It is faster for computers to process.

• Computers understand it.

How are images represented digitally in terms of pixels and color values?

• As a series of text characters.

• As a grid of pixels, where each pixel has a color value.

• As a single hexadecimal number.

• As a sound waveform.

What is the difference between raster and vector images?

• Raster images use pixels, while vector images use mathematical equations.

• Raster images are smaller in file size, while vector images are larger.

• Raster images are scalable, while vector images are not.

• Raster images are used for logos, while vector images are used for photographs.

Explain how color depth affects the quality and file size of an image.

• Higher color depth increases quality and decreases file size.

• Higher color depth increases quality and increases file size.

• Lower color depth increases quality and decreases file size.

• Color depth has no effect on quality or file size.

What is the purpose of image compression, and how does lossy compression differ from lossless compression?

• Compression reduces file size; lossy removes some data, while lossless retains all data.

• Compression increases file size; lossy removes some data, while lossless retains all data.

• Compression reduces file size; lossy retains all data, while lossless removes some data.

• Compression increases file size; lossy retains all data, while lossless removes some data.