Binary, Bytes, and Data Representation

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Questions and Answers

If a system attempts to represent the number 1,000,000,000,000,000 (one quadrillion) but can only accurately store numbers up to 999,999,999, what type of error will occur?

  • Sampling error
  • Round-off error
  • Lossy compression error
  • Overflow error (correct)

Which of the following is an example of data represented using a binary system?

  • A volume control knob on a stereo system
  • A light switch with only 'on' or 'off' positions (correct)
  • A dial thermometer displaying temperature
  • A digital clock displaying time in hours and minutes

A digital audio recording is created by measuring the amplitude of an analog sound wave at regular intervals. This process is best described as:

  • Binary encoding
  • Lossy compression
  • Round-off correction
  • Sampling (correct)

Which of the following scenarios is most likely to involve the use of 'lossy compression'?

<p>Storing high-resolution photographs on a smartphone (C)</p> Signup and view all the answers

Why would a music streaming service use lossy compression techniques for its audio files?

<p>To reduce file sizes and bandwidth usage (D)</p> Signup and view all the answers

Which of the following best illustrates the concept of intellectual property?

<p>A song an artist writes and holds the copyright to (D)</p> Signup and view all the answers

A programmer notices that their calculations involving very small fractions are consistently slightly off. This is most likely due to:

<p>Round-off error (D)</p> Signup and view all the answers

Which of the following data types is inherently analog?

<p>The height of a plant as it grows continuously (D)</p> Signup and view all the answers

An author wants to allow others to freely share, use, and build upon their copyrighted work. Which type of license would best enable this?

<p>A Creative Commons license (C)</p> Signup and view all the answers

Which of these processes is reversible?

<p>Lossless Compression (A)</p> Signup and view all the answers

Flashcards

Binary

Representing information using only two options (0 and 1).

Decimal

Representing information using ten options (0-9).

Bit

Short for 'Binary Digit'; the smallest unit of data in a computer.

Byte

A unit of digital information consisting of 8 bits.

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Overflow Error

Error when a number is too large to be represented.

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Round-off Error

Error when a number is rounded to fit available precision.

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Analog Data

Data that changes continuously over time.

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Digital Data

Data that changes discretely through a finite set of values.

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Sampling

Creating a digital form of analog data via samples at intervals.

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Lossless Compression

Reducing file size without losing detail; reversible.

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Study Notes

  • Binary representation uses only two options to represent information.
  • Decimal representation uses ten options to represent information.
  • A bit is a contraction of "Binary Digit" and represents the single unit of information in a computer, typically as a 0 or 1.
  • A byte consists of 8 bits.
  • An overflow error occurs when a number is too large to be represented.
  • A round-off error occurs when a number is too precise, and the value is rounded.
  • Analog data has values that change continuously or smoothly over time, with examples including music, colors of a painting, or the position of a sprinter during a race.
  • Digital data changes discretely through a finite set of possible values.
  • Sampling is a process for creating a digital representation of analog data by measuring the analog data at regular intervals called samples.
  • Lossless compression reduces the number of bits needed to represent something without losing any information, and this process is reversible.
  • Lossy compression reduces the number of bits needed to represent something, but some information is lost or thrown away, making this process not reversible.
  • Intellectual property is a work or invention resulting from creativity, such as a piece of writing or a design, to which one has rights and for which one may apply for a patent, copyright, trademark, etc.
  • Creative Commons is a collection of public copyright licenses that enable the free distribution of an otherwise copyrighted work, used when an author wants to give people the right to share, use, and build upon a work that they have created.

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