Computer Science: Binary and Compression

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Questions and Answers

What is the decimal equivalent of the binary number 1101?

  • 12
  • 13 (correct)
  • 11
  • 14

Which compression technique is considered lossless?

  • JPEG
  • MP3
  • Run-length encoding (correct)
  • MPEG

How does run-length encoding compress data?

  • By replacing repeated sequences with a count and a value. (correct)
  • By assigning shorter codes to less frequent characters.
  • By discarding redundant information.
  • By converting binary to decimal

Which of these is a core function of binary code?

<p>Representing digital information for computers. (C)</p> Signup and view all the answers

Why is data compression important in modern computing?

<p>To optimize memory usage and conserve bandwidth. (B)</p> Signup and view all the answers

In the context of compression, what does 'lossy' mean?

<p>Some data is discarded to reduce file size. (D)</p> Signup and view all the answers

If the sequence 'XXXXYYYYZZZ' is compressed using run-length encoding, what would the compressed output look like?

<p>4X4Y3Z (A), 4X4Y3Z (D)</p> Signup and view all the answers

What is the primary purpose of Huffman coding in compression?

<p>To assign shorter binary codes to more frequent characters. (B)</p> Signup and view all the answers

Flashcards

Binary Code

A sequence of binary digits (bits), either 0 or 1, used to represent digital information.

Binary Representation

The process of representing a value using a sequence of bits.

Positional Value in Binary

The value assigned to a bit based on its position in the binary sequence; it increases by powers of 2 from right to left.

Data Compression

Reducing the size of a file while preserving most of the original information.

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Lossless Compression

Compression techniques that do not lose any data during the process.

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Lossy Compression

Compression techniques that discard some data for significant file size reduction, often imperceptible to humans.

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Run-Length Encoding (RLE)

A lossless compression method that replaces repeated sequences of data with a count and the value.

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Huffman Coding

A lossless compression method that assigns shorter binary codes to more frequent characters or bytes.

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Study Notes

Binary Representation

  • Digital information is represented as a sequence of binary digits (bits), either 0 or 1.
  • Each bit represents a distinct value, enabling computers to store and process complex data.
  • Binary code is fundamental to all computer operations.
  • Converting between binary and decimal representations is essential.
  • The positional value of binary digits increases by powers of 2 (right to left).
  • Example: Binary 1011 is equivalent to decimal 11 (1 x 23 + 0 x 22 + 1 x 21 + 1 x 20).

Compression

  • Data compression reduces the size of a file while retaining most of the original information.
  • Lossless compression techniques, such as run-length encoding, do not lose any data during the process. Repeated data is replaced with a count and a value.
  • Lossy compression techniques, such as JPEG image compression, discard some data to significantly reduce file size. This is often imperceptible to the human eye or ear.
  • Run-length encoding (RLE) is a simple lossless compression technique. Repeated sequences are replaced with a count and the value.
  • Example: 'AABBBCCCC' can become '2A3B4C'.
  • Huffman coding is another lossless compression method. It assigns shorter binary codes to more frequent characters or bytes, making the average file size smaller.
  • Different compression algorithms are suited to different types of data. For example, audio data may benefit from techniques that exploit the redundancy in sound waves.
  • The choice of compression technique depends on the intended use of the compressed data and the level of detail required to reproduce the original file.

Binary and Compression in Practice

  • The practical application of binary and compression is ubiquitous in digital processing and storage.
  • Efficient data storage and transmission are crucial in modern computing.
  • Binary code is fundamental to all computer instructions and operations.
  • Modern applications, from internet browsing to multimedia content, rely on compression techniques to optimize memory and bandwidth usage.

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